******************************************************************************* ******************************************************************************* ********** *********** ********** "Micro Gas Turbine/Solid Oxide Fuel Cell Hybrid *********** ********** Cycles for Distributed Energy System" *********** ********** *********** ********** *********** ********** Supported by the Department of Core Research *********** ********** For Evolutional Science and Technology (Crest) of *********** ********** the Ministry of Eduction, Culture, Sports, *********** ********** Science and Technology (MEXT). *********** ********** *********** ********** 1999 - 2003 *********** ********** *********** ********** *********** ********** N. Kasagi *********** ********** Group Leader, The University of Tokyo Team *********** ********** *********** ********** *********** ******************************************************************************* ******************************************************************************* ******************************************************************************* ********** << CAUTION >> *********** ********** *********** ********** All rights are reserved by the computors of each data *********** ********** base. No part of the data described herein may be *********** ********** represented or otherwise used in any form without fully *********** ********** referring to this data base and the literature cited at *********** ********** the end of the data base. The original data base will *********** ********** be revised without notice, whenever necessary. *********** ********** *********** ******************************************************************************* ******************************************************************************* =================== this data base begins from this line ====================== Test Case: Fully Developed Channel Flow and Heat Transfer with Streamwise System Rotation at Re_tau=300 and Ro_tau=2.5 Code Number: CH122_RT.WL7 Date of Release: September 16, 2004 Computors: Haibin Wu and N. Kasagi Department of Mechanical Engineering The University of Tokyo Bunkyo-ku, Tokyo 113 Nomenclature: Cf = friction coefficient, Cf = 2tau_w/(rho x **2) cp = specific heat at constant pressure DX = separation in x-direction DZ = separation in z-direction E = one dimensional energy spectra k = turbulent kinetic energy, u_i x u_i/2 k_x, k_z = streamwise and spanwise wave numbers Nu = Nusselt number, 2q_w x delta/(-T_w)/lambda Omega = angular velocity of rotation Pr = molecular Prandtl number Pr_t = turbulent Prandtl number p = pressure q = heat flux R_i(a) = correlation coefficient between a and b in i-direction Re_b = Reynolds number, 2U_b x delta/nu Re_tau = Reynolds number, u_tau* x delta/nu Ro = rotation number,2 Omega delta / U_b Ro_tau = rotation number,2 Omega_i delta / u_tau_o T = temperature t = temperature fluctuation t_mean = arithmetic mean temperature T_h = temperature at the heated wall T_c = temperature at the cooled wall T_tau = friction temperature on each wall, q_w/rho/cp/u_tau_o U, V, W = mean velocities U_c = channel center mean velocity U_b = bulk mean velocity calculated within or <2 delta - d> u, v, w = velocity components in the x-, y- and z-directions u_tau = friction velocity on each wall u_tau* = friction velocity calculated from the wall shear stress averaged on the two walls x, y, z = streamwise, wall-normal and spanwise coordinates; y = -1.0 and y = 1.0 at the heated and cooled walls, respectively y+ = y x u_tau/nu delta = channel half width lambda = thermal conductivity nu = kinematic viscosity rho = density tau_w = wall shear stress averaged on two walls ( )_rms = root-mean-square value ( )_w = wall value ( )+ = normalized by the wall variables on each wall ( )* = normalized by u_tau* < > = bulk-averaged quantity t+ = t/t_tau 1. Description of Flow Field The flow field simulated is a fully developed turbulent flow between two parallel vertical walls. The walls are assumed to be kept at different, but constant temperatures without fluctuations. The Coriolis force coming from the streamwise rotation induces an S-type mean velocity in the spanwise direction. The flow field is homogeneous both in the streamwise and spanwise directions and the statistics are dependent only upon the distance from thewall. The data presented here are non-dimensionalized by the wall variables,i.e., u_tau* or u_tau and nu. The flow condition is defined by the pressure gradient imposed (or the friction velocity) and the temperature difference between the walls. 2. Numerical Method Governing equations: a forth-order equation for v, a second-order equation for omega_y derived from the incompressible Navier-Stokes equations, and the continuity equation. Discretization method: spectral method = 256 x 192 Fourier series in the x- and z-directions, and Chebyshev polynomials up to the order 192 in the y- direction (Chebyshev-tau method). Aliasing treatment: nonlinear terms computed with collocation grids 1.5 times finer in each direction. Grid spacing: 14.7 and 7.36 viscous units in the x- and z- directions and 0.04~4.91 in the y-direction. Time integration: second-order Adams-Bashforth scheme for the nonlinear terms and Crank-Nicolson scheme for the viscous terms. Size of computational box: 4*pai*delta x 2*delta x 1.5*pai*delta. Prandtl number: 0.71 Initial conditions: instanteneous velocities and temperature have been used in accordance with the previous numerical results. Boundary conditions: ordinary non-slip condition was imposed on the u and w components at the walls. The two walls were assumed to be kept at different but constant temperatures without fluctuations. Criterion for stationary state: linear profile of total stress and stationary behavior of mean velocity and second-order moments of the three velocity components at some distance from the wall. Length of time integration for ensemble averaging: 35 delta/u_tau in the flow and thermal fields after the fully developed state is reached. Courant number = Max [ delta-t * {abs(u_i/delta-x_i)} ] : < 0.3 Computer: SR8000(1 nodes (= 8 cpus)) at the Computer Center of the University of Tokyo. Computation time: about 32 sec CPU time per one time step. 3. Flow conditions Re_tau* = 300.3 Re_b = 10100 Ro_tau = 2.5 Cf = 7.07E-3 Nu = 20.3 4. Numerical data 4.1 Turbulence statistics 4.1.1 Mean field, stress and flux components (a) mean quantities normalized with u_tau* j y/delta y+ u_mean+ w_mean+ t_mean+ 0 0.100000E+01 0.000000E+00 -0.814133E-13 -0.473424E-15 0.597869E-13 1 0.999941E+00 0.178663E-01 0.178639E-01 0.671050E-03 0.129323E-01 2 0.999762E+00 0.714633E-01 0.714469E-01 0.268412E-02 0.517277E-01 3 0.999465E+00 0.160784E+00 0.160724E+00 0.603897E-02 0.116382E+00 4 0.999048E+00 0.285819E+00 0.285650E+00 0.107351E-01 0.206886E+00 5 0.998513E+00 0.446552E+00 0.446162E+00 0.167719E-01 0.323227E+00 6 0.997859E+00 0.642965E+00 0.642167E+00 0.241477E-01 0.465384E+00 7 0.997086E+00 0.875034E+00 0.873525E+00 0.328600E-01 0.633314E+00 8 0.996195E+00 0.114273E+01 0.114002E+01 0.429035E-01 0.826947E+00 9 0.995185E+00 0.144603E+01 0.144132E+01 0.542688E-01 0.104615E+01 10 0.994056E+00 0.178488E+01 0.177689E+01 0.669391E-01 0.129071E+01 11 0.992810E+00 0.215926E+01 0.214589E+01 0.808870E-01 0.156024E+01 12 0.991445E+00 0.256911E+01 0.254707E+01 0.960697E-01 0.185415E+01 13 0.989962E+00 0.301439E+01 0.297863E+01 0.112424E+00 0.217155E+01 14 0.988362E+00 0.349504E+01 0.343808E+01 0.129861E+00 0.251116E+01 15 0.986643E+00 0.401101E+01 0.392217E+01 0.148263E+00 0.287126E+01 16 0.984808E+00 0.456223E+01 0.442689E+01 0.167482E+00 0.324963E+01 17 0.982855E+00 0.514865E+01 0.494747E+01 0.187340E+00 0.364355E+01 18 0.980785E+00 0.577018E+01 0.547860E+01 0.207636E+00 0.404983E+01 19 0.978599E+00 0.642676E+01 0.601460E+01 0.228146E+00 0.446492E+01 20 0.976296E+00 0.711831E+01 0.654974E+01 0.248644E+00 0.488514E+01 21 0.973877E+00 0.784474E+01 0.707850E+01 0.268901E+00 0.530653E+01 22 0.971342E+00 0.860598E+01 0.759582E+01 0.288703E+00 0.572544E+01 23 0.968692E+00 0.940192E+01 0.809737E+01 0.307857E+00 0.613839E+01 24 0.965926E+00 0.102325E+02 0.857962E+01 0.326197E+00 0.654228E+01 25 0.963045E+00 0.110975E+02 0.903994E+01 0.343587E+00 0.693454E+01 26 0.960050E+00 0.119970E+02 0.947654E+01 0.359923E+00 0.731304E+01 27 0.956940E+00 0.129308E+02 0.988846E+01 0.375128E+00 0.767626E+01 28 0.953717E+00 0.138988E+02 0.102754E+02 0.389151E+00 0.802315E+01 29 0.950380E+00 0.149009E+02 0.106377E+02 0.401960E+00 0.835312E+01 30 0.946930E+00 0.159369E+02 0.109759E+02 0.413538E+00 0.866610E+01 31 0.943368E+00 0.170067E+02 0.112912E+02 0.423878E+00 0.896221E+01 32 0.939693E+00 0.181103E+02 0.115848E+02 0.432981E+00 0.924186E+01 33 0.935906E+00 0.192475E+02 0.118581E+02 0.440855E+00 0.950577E+01 34 0.932008E+00 0.204180E+02 0.121124E+02 0.447512E+00 0.975462E+01 35 0.927999E+00 0.216219E+02 0.123492E+02 0.452969E+00 0.998936E+01 36 0.923880E+00 0.228590E+02 0.125699E+02 0.457246E+00 0.102109E+02 37 0.919650E+00 0.241290E+02 0.127759E+02 0.460367E+00 0.104201E+02 38 0.915311E+00 0.254320E+02 0.129683E+02 0.462354E+00 0.106178E+02 39 0.910864E+00 0.267676E+02 0.131483E+02 0.463237E+00 0.108051E+02 40 0.906308E+00 0.281358E+02 0.133171E+02 0.463049E+00 0.109827E+02 41 0.901644E+00 0.295363E+02 0.134758E+02 0.461835E+00 0.111515E+02 42 0.896873E+00 0.309691E+02 0.136251E+02 0.459644E+00 0.113123E+02 43 0.891995E+00 0.324339E+02 0.137662E+02 0.456534E+00 0.114657E+02 44 0.887011E+00 0.339306E+02 0.138997E+02 0.452570E+00 0.116125E+02 45 0.881921E+00 0.354590E+02 0.140266E+02 0.447827E+00 0.117533E+02 46 0.876727E+00 0.370190E+02 0.141473E+02 0.442387E+00 0.118887E+02 47 0.871428E+00 0.386102E+02 0.142627E+02 0.436330E+00 0.120193E+02 48 0.866025E+00 0.402326E+02 0.143733E+02 0.429734E+00 0.121454E+02 49 0.860520E+00 0.418859E+02 0.144795E+02 0.422669E+00 0.122676E+02 50 0.854912E+00 0.435700E+02 0.145819E+02 0.415191E+00 0.123862E+02 51 0.849202E+00 0.452846E+02 0.146808E+02 0.407342E+00 0.125015E+02 52 0.843391E+00 0.470295E+02 0.147766E+02 0.399155E+00 0.126139E+02 53 0.837480E+00 0.488046E+02 0.148696E+02 0.390661E+00 0.127237E+02 54 0.831470E+00 0.506097E+02 0.149601E+02 0.381884E+00 0.128311E+02 55 0.825360E+00 0.524444E+02 0.150483E+02 0.372841E+00 0.129362E+02 56 0.819152E+00 0.543086E+02 0.151344E+02 0.363544E+00 0.130394E+02 57 0.812847E+00 0.562021E+02 0.152187E+02 0.354003E+00 0.131408E+02 58 0.806445E+00 0.581247E+02 0.153013E+02 0.344245E+00 0.132407E+02 59 0.799947E+00 0.600760E+02 0.153825E+02 0.334317E+00 0.133390E+02 60 0.793353E+00 0.620560E+02 0.154623E+02 0.324278E+00 0.134362E+02 61 0.786666E+00 0.640643E+02 0.155410E+02 0.314192E+00 0.135320E+02 62 0.779884E+00 0.661007E+02 0.156186E+02 0.304114E+00 0.136268E+02 63 0.773010E+00 0.681650E+02 0.156953E+02 0.294080E+00 0.137205E+02 64 0.766044E+00 0.702569E+02 0.157710E+02 0.284109E+00 0.138133E+02 65 0.758987E+00 0.723761E+02 0.158459E+02 0.274207E+00 0.139051E+02 66 0.751840E+00 0.745225E+02 0.159200E+02 0.264376E+00 0.139962E+02 67 0.744603E+00 0.766958E+02 0.159933E+02 0.254611E+00 0.140865E+02 68 0.737277E+00 0.788956E+02 0.160660E+02 0.244912E+00 0.141761E+02 69 0.729864E+00 0.811218E+02 0.161379E+02 0.235274E+00 0.142651E+02 70 0.722364E+00 0.833741E+02 0.162093E+02 0.225696E+00 0.143535E+02 71 0.714778E+00 0.856522E+02 0.162800E+02 0.216180E+00 0.144413E+02 72 0.707107E+00 0.879558E+02 0.163500E+02 0.206733E+00 0.145287E+02 73 0.699352E+00 0.902847E+02 0.164195E+02 0.197356E+00 0.146156E+02 74 0.691513E+00 0.926386E+02 0.164883E+02 0.188048E+00 0.147022E+02 75 0.683592E+00 0.950172E+02 0.165565E+02 0.178810E+00 0.147885E+02 76 0.675590E+00 0.974203E+02 0.166240E+02 0.169650E+00 0.148746E+02 77 0.667508E+00 0.998474E+02 0.166909E+02 0.160571E+00 0.149605E+02 78 0.659346E+00 0.102298E+03 0.167572E+02 0.151565E+00 0.150462E+02 79 0.651105E+00 0.104773E+03 0.168229E+02 0.142614E+00 0.151317E+02 80 0.642788E+00 0.107271E+03 0.168880E+02 0.133696E+00 0.152171E+02 81 0.634393E+00 0.109792E+03 0.169524E+02 0.124793E+00 0.153024E+02 82 0.625923E+00 0.112335E+03 0.170163E+02 0.115906E+00 0.153875E+02 83 0.617379E+00 0.114901E+03 0.170794E+02 0.107049E+00 0.154726E+02 84 0.608761E+00 0.117489E+03 0.171419E+02 0.982295E-01 0.155577E+02 85 0.600071E+00 0.120099E+03 0.172037E+02 0.894455E-01 0.156427E+02 86 0.591310E+00 0.122730E+03 0.172648E+02 0.806913E-01 0.157279E+02 87 0.582478E+00 0.125382E+03 0.173253E+02 0.719676E-01 0.158132E+02 88 0.573576E+00 0.128055E+03 0.173850E+02 0.632818E-01 0.158986E+02 89 0.564607E+00 0.130749E+03 0.174440E+02 0.546434E-01 0.159840E+02 90 0.555570E+00 0.133462E+03 0.175024E+02 0.460619E-01 0.160695E+02 91 0.546467E+00 0.136196E+03 0.175600E+02 0.375428E-01 0.161551E+02 92 0.537300E+00 0.138949E+03 0.176170E+02 0.290835E-01 0.162407E+02 93 0.528068E+00 0.141721E+03 0.176733E+02 0.206757E-01 0.163264E+02 94 0.518773E+00 0.144512E+03 0.177290E+02 0.123088E-01 0.164122E+02 95 0.509417E+00 0.147322E+03 0.177841E+02 0.397127E-02 0.164982E+02 96 0.500000E+00 0.150150E+03 0.178385E+02 -0.434447E-02 0.165844E+02 97 0.490524E+00 0.152996E+03 0.178924E+02 -0.126306E-01 0.166710E+02 98 0.480989E+00 0.155859E+03 0.179457E+02 -0.208624E-01 0.167579E+02 99 0.471397E+00 0.158740E+03 0.179984E+02 -0.290094E-01 0.168451E+02 100 0.461749E+00 0.161637E+03 0.180504E+02 -0.370437E-01 0.169328E+02 101 0.452046E+00 0.164551E+03 0.181019E+02 -0.449381E-01 0.170211E+02 102 0.442289E+00 0.167481E+03 0.181527E+02 -0.526603E-01 0.171098E+02 103 0.432479E+00 0.170426E+03 0.182028E+02 -0.601718E-01 0.171990E+02 104 0.422618E+00 0.173388E+03 0.182522E+02 -0.674335E-01 0.172888E+02 105 0.412707E+00 0.176364E+03 0.183009E+02 -0.744135E-01 0.173791E+02 106 0.402747E+00 0.179355E+03 0.183488E+02 -0.810885E-01 0.174702E+02 107 0.392738E+00 0.182361E+03 0.183959E+02 -0.874430E-01 0.175619E+02 108 0.382683E+00 0.185380E+03 0.184422E+02 -0.934707E-01 0.176542E+02 109 0.372583E+00 0.188413E+03 0.184876E+02 -0.991694E-01 0.177474E+02 110 0.362438E+00 0.191460E+03 0.185322E+02 -0.104530E+00 0.178411E+02 111 0.352250E+00 0.194519E+03 0.185758E+02 -0.109532E+00 0.179354E+02 112 0.342020E+00 0.197591E+03 0.186186E+02 -0.114148E+00 0.180301E+02 113 0.331750E+00 0.200676E+03 0.186604E+02 -0.118349E+00 0.181250E+02 114 0.321439E+00 0.203772E+03 0.187014E+02 -0.122103E+00 0.182203E+02 115 0.311091E+00 0.206879E+03 0.187414E+02 -0.125376E+00 0.183159E+02 116 0.300706E+00 0.209998E+03 0.187805E+02 -0.128136E+00 0.184119E+02 117 0.290285E+00 0.213128E+03 0.188186E+02 -0.130356E+00 0.185086E+02 118 0.279829E+00 0.216267E+03 0.188556E+02 -0.132012E+00 0.186058E+02 119 0.269340E+00 0.219417E+03 0.188917E+02 -0.133079E+00 0.187036E+02 120 0.258819E+00 0.222577E+03 0.189268E+02 -0.133531E+00 0.188022E+02 121 0.248267E+00 0.225745E+03 0.189608E+02 -0.133347E+00 0.189015E+02 122 0.237686E+00 0.228923E+03 0.189937E+02 -0.132524E+00 0.190015E+02 123 0.227076E+00 0.232109E+03 0.190255E+02 -0.131083E+00 0.191022E+02 124 0.216440E+00 0.235303E+03 0.190561E+02 -0.129056E+00 0.192034E+02 125 0.205777E+00 0.238505E+03 0.190855E+02 -0.126478E+00 0.193051E+02 126 0.195090E+00 0.241714E+03 0.191136E+02 -0.123387E+00 0.194073E+02 127 0.184380E+00 0.244931E+03 0.191404E+02 -0.119817E+00 0.195099E+02 128 0.173648E+00 0.248153E+03 0.191658E+02 -0.115803E+00 0.196130E+02 129 0.162895E+00 0.251382E+03 0.191897E+02 -0.111374E+00 0.197167E+02 130 0.152123E+00 0.254617E+03 0.192122E+02 -0.106555E+00 0.198208E+02 131 0.141333E+00 0.257858E+03 0.192333E+02 -0.101369E+00 0.199252E+02 132 0.130526E+00 0.261103E+03 0.192527E+02 -0.958358E-01 0.200299E+02 133 0.119704E+00 0.264353E+03 0.192707E+02 -0.899751E-01 0.201349E+02 134 0.108867E+00 0.267607E+03 0.192871E+02 -0.838029E-01 0.202402E+02 135 0.980171E-01 0.270865E+03 0.193020E+02 -0.773337E-01 0.203459E+02 136 0.871557E-01 0.274127E+03 0.193154E+02 -0.705873E-01 0.204520E+02 137 0.762840E-01 0.277392E+03 0.193272E+02 -0.635923E-01 0.205586E+02 138 0.654031E-01 0.280659E+03 0.193375E+02 -0.563807E-01 0.206656E+02 139 0.545145E-01 0.283929E+03 0.193461E+02 -0.489825E-01 0.207730E+02 140 0.436194E-01 0.287201E+03 0.193532E+02 -0.414235E-01 0.208809E+02 141 0.327191E-01 0.290474E+03 0.193586E+02 -0.337279E-01 0.209891E+02 142 0.218149E-01 0.293749E+03 0.193623E+02 -0.259203E-01 0.210976E+02 143 0.109081E-01 0.297024E+03 0.193643E+02 -0.180284E-01 0.212064E+02 144 0.612303E-16 0.300300E+03 0.193645E+02 -0.100848E-01 0.213155E+02 145 -0.109081E-01 0.303576E+03 0.193630E+02 -0.212395E-02 0.214245E+02 146 -0.218149E-01 0.306851E+03 0.193597E+02 0.582070E-02 0.215334E+02 147 -0.327191E-01 0.310126E+03 0.193546E+02 0.137132E-01 0.216422E+02 148 -0.436194E-01 0.313399E+03 0.193479E+02 0.215108E-01 0.217507E+02 149 -0.545145E-01 0.316671E+03 0.193395E+02 0.291643E-01 0.218589E+02 150 -0.654031E-01 0.319941E+03 0.193295E+02 0.366195E-01 0.219669E+02 151 -0.762840E-01 0.323208E+03 0.193179E+02 0.438185E-01 0.220745E+02 152 -0.871557E-01 0.326473E+03 0.193048E+02 0.507031E-01 0.221819E+02 153 -0.980171E-01 0.329735E+03 0.192901E+02 0.572222E-01 0.222890E+02 154 -0.108867E+00 0.332993E+03 0.192738E+02 0.633387E-01 0.223958E+02 155 -0.119704E+00 0.336247E+03 0.192560E+02 0.690311E-01 0.225021E+02 156 -0.130526E+00 0.339497E+03 0.192368E+02 0.742880E-01 0.226079E+02 157 -0.141333E+00 0.342742E+03 0.192162E+02 0.791080E-01 0.227131E+02 158 -0.152123E+00 0.345983E+03 0.191941E+02 0.834987E-01 0.228177E+02 159 -0.162895E+00 0.349218E+03 0.191707E+02 0.874672E-01 0.229214E+02 160 -0.173648E+00 0.352447E+03 0.191459E+02 0.910144E-01 0.230244E+02 161 -0.184380E+00 0.355669E+03 0.191199E+02 0.941380E-01 0.231264E+02 162 -0.195090E+00 0.358886E+03 0.190925E+02 0.968305E-01 0.232275E+02 163 -0.205777E+00 0.362095E+03 0.190639E+02 0.990768E-01 0.233280E+02 164 -0.216440E+00 0.365297E+03 0.190341E+02 0.100861E+00 0.234277E+02 165 -0.227076E+00 0.368491E+03 0.190031E+02 0.102170E+00 0.235269E+02 166 -0.237686E+00 0.371677E+03 0.189710E+02 0.102995E+00 0.236255E+02 167 -0.248267E+00 0.374855E+03 0.189377E+02 0.103333E+00 0.237235E+02 168 -0.258819E+00 0.378023E+03 0.189034E+02 0.103197E+00 0.238209E+02 169 -0.269340E+00 0.381183E+03 0.188680E+02 0.102611E+00 0.239176E+02 170 -0.279829E+00 0.384333E+03 0.188316E+02 0.101590E+00 0.240136E+02 171 -0.290285E+00 0.387472E+03 0.187941E+02 0.100135E+00 0.241090E+02 172 -0.300706E+00 0.390602E+03 0.187557E+02 0.982402E-01 0.242038E+02 173 -0.311091E+00 0.393721E+03 0.187163E+02 0.959034E-01 0.242981E+02 174 -0.321439E+00 0.396828E+03 0.186759E+02 0.931299E-01 0.243919E+02 175 -0.331750E+00 0.399924E+03 0.186345E+02 0.899226E-01 0.244851E+02 176 -0.342020E+00 0.403009E+03 0.185922E+02 0.862812E-01 0.245778E+02 177 -0.352250E+00 0.406081E+03 0.185489E+02 0.822086E-01 0.246699E+02 178 -0.362438E+00 0.409140E+03 0.185047E+02 0.777228E-01 0.247615E+02 179 -0.372583E+00 0.412187E+03 0.184596E+02 0.728592E-01 0.248525E+02 180 -0.382683E+00 0.415220E+03 0.184136E+02 0.676587E-01 0.249429E+02 181 -0.392738E+00 0.418239E+03 0.183667E+02 0.621572E-01 0.250327E+02 182 -0.402747E+00 0.421245E+03 0.183191E+02 0.563885E-01 0.251221E+02 183 -0.412707E+00 0.424236E+03 0.182708E+02 0.503828E-01 0.252109E+02 184 -0.422618E+00 0.427212E+03 0.182217E+02 0.441594E-01 0.252993E+02 185 -0.432479E+00 0.430174E+03 0.181720E+02 0.377297E-01 0.253871E+02 186 -0.442289E+00 0.433119E+03 0.181217E+02 0.311061E-01 0.254743E+02 187 -0.452046E+00 0.436049E+03 0.180708E+02 0.243011E-01 0.255610E+02 188 -0.461749E+00 0.438963E+03 0.180193E+02 0.173275E-01 0.256471E+02 189 -0.471397E+00 0.441860E+03 0.179673E+02 0.101988E-01 0.257326E+02 190 -0.480989E+00 0.444741E+03 0.179147E+02 0.292411E-02 0.258174E+02 191 -0.490524E+00 0.447604E+03 0.178617E+02 -0.449468E-02 0.259017E+02 192 -0.500000E+00 0.450450E+03 0.178081E+02 -0.120574E-01 0.259854E+02 193 -0.509417E+00 0.453278E+03 0.177541E+02 -0.197632E-01 0.260687E+02 194 -0.518773E+00 0.456088E+03 0.176995E+02 -0.276102E-01 0.261517E+02 195 -0.528068E+00 0.458879E+03 0.176445E+02 -0.355941E-01 0.262343E+02 196 -0.537300E+00 0.461651E+03 0.175890E+02 -0.437084E-01 0.263167E+02 197 -0.546467E+00 0.464404E+03 0.175330E+02 -0.519426E-01 0.263988E+02 198 -0.555570E+00 0.467138E+03 0.174765E+02 -0.602747E-01 0.264808E+02 199 -0.564607E+00 0.469851E+03 0.174195E+02 -0.686680E-01 0.265626E+02 200 -0.573576E+00 0.472545E+03 0.173620E+02 -0.770816E-01 0.266445E+02 201 -0.582478E+00 0.475218E+03 0.173040E+02 -0.854813E-01 0.267265E+02 202 -0.591310E+00 0.477870E+03 0.172455E+02 -0.938433E-01 0.268085E+02 203 -0.600071E+00 0.480501E+03 0.171863E+02 -0.102153E+00 0.268906E+02 204 -0.608761E+00 0.483111E+03 0.171266E+02 -0.110404E+00 0.269728E+02 205 -0.617379E+00 0.485699E+03 0.170663E+02 -0.118600E+00 0.270551E+02 206 -0.625923E+00 0.488265E+03 0.170053E+02 -0.126757E+00 0.271374E+02 207 -0.634393E+00 0.490808E+03 0.169437E+02 -0.134906E+00 0.272198E+02 208 -0.642788E+00 0.493329E+03 0.168815E+02 -0.143083E+00 0.273023E+02 209 -0.651105E+00 0.495827E+03 0.168187E+02 -0.151324E+00 0.273849E+02 210 -0.659346E+00 0.498302E+03 0.167553E+02 -0.159658E+00 0.274676E+02 211 -0.667508E+00 0.500753E+03 0.166913E+02 -0.168098E+00 0.275505E+02 212 -0.675590E+00 0.503180E+03 0.166267E+02 -0.176645E+00 0.276335E+02 213 -0.683592E+00 0.505583E+03 0.165614E+02 -0.185286E+00 0.277166E+02 214 -0.691513E+00 0.507961E+03 0.164955E+02 -0.194003E+00 0.278000E+02 215 -0.699352E+00 0.510315E+03 0.164290E+02 -0.202773E+00 0.278835E+02 216 -0.707107E+00 0.512644E+03 0.163618E+02 -0.211582E+00 0.279672E+02 217 -0.714778E+00 0.514948E+03 0.162940E+02 -0.220427E+00 0.280513E+02 218 -0.722364E+00 0.517226E+03 0.162254E+02 -0.229310E+00 0.281357E+02 219 -0.729864E+00 0.519478E+03 0.161561E+02 -0.238234E+00 0.282205E+02 220 -0.737277E+00 0.521704E+03 0.160860E+02 -0.247205E+00 0.283059E+02 221 -0.744603E+00 0.523904E+03 0.160152E+02 -0.256236E+00 0.283917E+02 222 -0.751840E+00 0.526077E+03 0.159436E+02 -0.265343E+00 0.284782E+02 223 -0.758987E+00 0.528224E+03 0.158711E+02 -0.274545E+00 0.285653E+02 224 -0.766044E+00 0.530343E+03 0.157978E+02 -0.283868E+00 0.286531E+02 225 -0.773010E+00 0.532435E+03 0.157235E+02 -0.293333E+00 0.287418E+02 226 -0.779884E+00 0.534499E+03 0.156481E+02 -0.302950E+00 0.288314E+02 227 -0.786666E+00 0.536536E+03 0.155716E+02 -0.312720E+00 0.289221E+02 228 -0.793353E+00 0.538544E+03 0.154938E+02 -0.322638E+00 0.290138E+02 229 -0.799947E+00 0.540524E+03 0.154146E+02 -0.332688E+00 0.291068E+02 230 -0.806445E+00 0.542475E+03 0.153339E+02 -0.342842E+00 0.292012E+02 231 -0.812847E+00 0.544398E+03 0.152514E+02 -0.353054E+00 0.292972E+02 232 -0.819152E+00 0.546291E+03 0.151671E+02 -0.363264E+00 0.293949E+02 233 -0.825360E+00 0.548156E+03 0.150808E+02 -0.373404E+00 0.294945E+02 234 -0.831470E+00 0.549990E+03 0.149922E+02 -0.383401E+00 0.295964E+02 235 -0.837480E+00 0.551795E+03 0.149012E+02 -0.393196E+00 0.297004E+02 236 -0.843391E+00 0.553570E+03 0.148075E+02 -0.402737E+00 0.298071E+02 237 -0.849202E+00 0.555315E+03 0.147109E+02 -0.411976E+00 0.299165E+02 238 -0.854912E+00 0.557030E+03 0.146110E+02 -0.420863E+00 0.300288E+02 239 -0.860520E+00 0.558714E+03 0.145077E+02 -0.429344E+00 0.301444E+02 240 -0.866025E+00 0.560367E+03 0.144003E+02 -0.437364E+00 0.302635E+02 241 -0.871428E+00 0.561990E+03 0.142887E+02 -0.444863E+00 0.303865E+02 242 -0.876727E+00 0.563581E+03 0.141721E+02 -0.451776E+00 0.305138E+02 243 -0.881921E+00 0.565141E+03 0.140502E+02 -0.458037E+00 0.306458E+02 244 -0.887011E+00 0.566669E+03 0.139222E+02 -0.463577E+00 0.307830E+02 245 -0.891995E+00 0.568166E+03 0.137876E+02 -0.468333E+00 0.309260E+02 246 -0.896873E+00 0.569631E+03 0.136455E+02 -0.472238E+00 0.310753E+02 247 -0.901644E+00 0.571064E+03 0.134950E+02 -0.475227E+00 0.312315E+02 248 -0.906308E+00 0.572464E+03 0.133355E+02 -0.477233E+00 0.313954E+02 249 -0.910864E+00 0.573832E+03 0.131658E+02 -0.478189E+00 0.315677E+02 250 -0.915311E+00 0.575168E+03 0.129849E+02 -0.478033E+00 0.317491E+02 251 -0.919650E+00 0.576471E+03 0.127917E+02 -0.476703E+00 0.319405E+02 252 -0.923880E+00 0.577741E+03 0.125850E+02 -0.474151E+00 0.321427E+02 253 -0.927999E+00 0.578978E+03 0.123636E+02 -0.470334E+00 0.323567E+02 254 -0.932008E+00 0.580182E+03 0.121261E+02 -0.465222E+00 0.325834E+02 255 -0.935906E+00 0.581353E+03 0.118711E+02 -0.458793E+00 0.328236E+02 256 -0.939693E+00 0.582490E+03 0.115971E+02 -0.451033E+00 0.330781E+02 257 -0.943368E+00 0.583593E+03 0.113028E+02 -0.441931E+00 0.333478E+02 258 -0.946930E+00 0.584663E+03 0.109869E+02 -0.431483E+00 0.336332E+02 259 -0.950380E+00 0.585699E+03 0.106480E+02 -0.419688E+00 0.339348E+02 260 -0.953717E+00 0.586701E+03 0.102852E+02 -0.406555E+00 0.342527E+02 261 -0.956940E+00 0.587669E+03 0.989777E+01 -0.392101E+00 0.345868E+02 262 -0.960050E+00 0.588603E+03 0.948539E+01 -0.376366E+00 0.349364E+02 263 -0.963045E+00 0.589502E+03 0.904835E+01 -0.359406E+00 0.353007E+02 264 -0.965926E+00 0.590368E+03 0.858761E+01 -0.341308E+00 0.356782E+02 265 -0.968692E+00 0.591198E+03 0.810492E+01 -0.322185E+00 0.360668E+02 266 -0.971342E+00 0.591994E+03 0.760293E+01 -0.302186E+00 0.364641E+02 267 -0.973877E+00 0.592755E+03 0.708515E+01 -0.281489E+00 0.368671E+02 268 -0.976296E+00 0.593482E+03 0.655593E+01 -0.260302E+00 0.372725E+02 269 -0.978599E+00 0.594173E+03 0.602031E+01 -0.238854E+00 0.376766E+02 270 -0.980785E+00 0.594830E+03 0.548382E+01 -0.217385E+00 0.380759E+02 271 -0.982855E+00 0.595451E+03 0.495221E+01 -0.196138E+00 0.384667E+02 272 -0.984808E+00 0.596038E+03 0.443116E+01 -0.175346E+00 0.388455E+02 273 -0.986643E+00 0.596589E+03 0.392598E+01 -0.155223E+00 0.392095E+02 274 -0.988362E+00 0.597105E+03 0.344144E+01 -0.135955E+00 0.395558E+02 275 -0.989962E+00 0.597586E+03 0.298156E+01 -0.117698E+00 0.398824E+02 276 -0.991445E+00 0.598031E+03 0.254959E+01 -0.100576E+00 0.401877E+02 277 -0.992810E+00 0.598441E+03 0.214802E+01 -0.846798E-01 0.404704E+02 278 -0.994056E+00 0.598815E+03 0.177866E+01 -0.700771E-01 0.407296E+02 279 -0.995185E+00 0.599154E+03 0.144276E+01 -0.568123E-01 0.409648E+02 280 -0.996195E+00 0.599457E+03 0.114116E+01 -0.449140E-01 0.411757E+02 281 -0.997086E+00 0.599725E+03 0.874400E+00 -0.343997E-01 0.413619E+02 282 -0.997859E+00 0.599957E+03 0.642810E+00 -0.252791E-01 0.415234E+02 283 -0.998513E+00 0.600153E+03 0.446610E+00 -0.175576E-01 0.416602E+02 284 -0.999048E+00 0.600314E+03 0.285937E+00 -0.112380E-01 0.417721E+02 285 -0.999465E+00 0.600439E+03 0.160885E+00 -0.632187E-02 0.418591E+02 286 -0.999762E+00 0.600529E+03 0.715185E-01 -0.280986E-02 0.419213E+02 287 -0.999941E+00 0.600582E+03 0.178818E-01 -0.702486E-03 0.419586E+02 288 -0.100000E+01 0.600600E+03 -0.814305E-13 0.533772E-15 0.419711E+02 (b) RMS values normalized by u_tau* and T_tau j y/delta y+ u_rms+ v_rms+ w_rms+ p_rms+ t_rms+ 0 0.100000E+01 0.000000E+00 0.426549E-13 0.211988E-15 0.221896E-14 0.199714E+01 0.794747E-13 1 0.999941E+00 0.178663E-01 0.688859E-02 0.354592E-05 0.431778E-02 0.199698E+01 0.544818E-02 2 0.999762E+00 0.714633E-01 0.275382E-01 0.562788E-04 0.171582E-01 0.199653E+01 0.217922E-01 3 0.999465E+00 0.160784E+00 0.619036E-01 0.281115E-03 0.381884E-01 0.199581E+01 0.490306E-01 4 0.999048E+00 0.285819E+00 0.109919E+00 0.871999E-03 0.668736E-01 0.199489E+01 0.871617E-01 5 0.998513E+00 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-0.992810E+00 0.598441E+03 0.822710E+00 0.380362E-01 0.408101E+00 0.198467E+01 0.631274E+00 278 -0.994056E+00 0.598815E+03 0.682966E+00 0.273672E-01 0.351161E+00 0.198321E+01 0.523127E+00 279 -0.995185E+00 0.599154E+03 0.554959E+00 0.188370E-01 0.295245E+00 0.198263E+01 0.424420E+00 280 -0.996195E+00 0.599457E+03 0.439530E+00 0.122831E-01 0.241350E+00 0.198274E+01 0.335652E+00 281 -0.997086E+00 0.599725E+03 0.337166E+00 0.748574E-02 0.190515E+00 0.198332E+01 0.257105E+00 282 -0.997859E+00 0.599957E+03 0.248133E+00 0.418070E-02 0.143789E+00 0.198420E+01 0.188937E+00 283 -0.998513E+00 0.600153E+03 0.172580E+00 0.207568E-02 0.102188E+00 0.198523E+01 0.131221E+00 284 -0.999048E+00 0.600314E+03 0.110604E+00 0.870825E-03 0.666664E-01 0.198625E+01 0.839866E-01 285 -0.999465E+00 0.600439E+03 0.622890E-01 0.280749E-03 0.380696E-01 0.198717E+01 0.472447E-01 286 -0.999762E+00 0.600529E+03 0.277095E-01 0.562073E-04 0.171047E-01 0.198789E+01 0.209984E-01 287 -0.999941E+00 0.600582E+03 0.693142E-02 0.354149E-05 0.430431E-02 0.198834E+01 0.524961E-02 288 -0.100000E+01 0.600600E+03 0.426556E-13 0.211767E-15 0.222059E-14 0.198850E+01 0.000000E+00 (c) Reynolds shear stresses normalilzed by u_tau* j y/delta y+ uv+ uw+ vw+ 0 0.100000E+01 0.000000E+00 0.658255E-32 0.295880E-30 -0.616338E-33 1 0.999941E+00 0.178663E-01 0.517619E-08 0.160993E-05 0.207453E-09 2 0.999762E+00 0.714633E-01 0.332726E-06 0.258443E-04 0.133310E-07 3 0.999465E+00 0.160784E+00 0.381705E-05 0.131546E-03 0.152826E-06 4 0.999048E+00 0.285819E+00 0.216539E-04 0.418801E-03 0.865786E-06 5 0.998513E+00 0.446552E+00 0.835707E-04 0.103166E-02 0.333382E-05 6 0.997859E+00 0.642965E+00 0.252804E-03 0.216129E-02 0.100513E-04 7 0.997086E+00 0.875034E+00 0.646060E-03 0.404876E-02 0.255733E-04 8 0.996195E+00 0.114273E+01 0.145766E-02 0.698610E-02 0.573886E-04 9 0.995185E+00 0.144603E+01 0.298515E-02 0.113133E-01 0.116818E-03 10 0.994056E+00 0.178488E+01 0.565101E-02 0.174083E-01 0.219757E-03 11 0.992810E+00 0.215926E+01 0.100121E-01 0.256648E-01 0.387009E-03 12 0.991445E+00 0.256911E+01 0.167469E-01 0.364561E-01 0.643910E-03 13 0.989962E+00 0.301439E+01 0.266140E-01 0.500825E-01 0.101899E-02 14 0.988362E+00 0.349504E+01 0.403777E-01 0.667086E-01 0.154159E-02 15 0.986643E+00 0.401101E+01 0.587121E-01 0.863025E-01 0.223866E-02 16 0.984808E+00 0.456223E+01 0.820964E-01 0.108591E+00 0.313114E-02 17 0.982855E+00 0.514865E+01 0.110726E+00 0.133048E+00 0.423073E-02 18 0.980785E+00 0.577018E+01 0.144457E+00 0.158923E+00 0.553748E-02 19 0.978599E+00 0.642676E+01 0.182799E+00 0.185312E+00 0.703882E-02 20 0.976296E+00 0.711831E+01 0.224956E+00 0.211243E+00 0.871027E-02 21 0.973877E+00 0.784474E+01 0.269902E+00 0.235787E+00 0.105176E-01 22 0.971342E+00 0.860598E+01 0.316493E+00 0.258135E+00 0.124203E-01 23 0.968692E+00 0.940192E+01 0.363565E+00 0.277662E+00 0.143757E-01 24 0.965926E+00 0.102325E+02 0.410034E+00 0.293954E+00 0.163426E-01 25 0.963045E+00 0.110975E+02 0.454967E+00 0.306798E+00 0.182842E-01 26 0.960050E+00 0.119970E+02 0.497622E+00 0.316157E+00 0.201709E-01 27 0.956940E+00 0.129308E+02 0.537459E+00 0.322136E+00 0.219801E-01 28 0.953717E+00 0.138988E+02 0.574136E+00 0.324942E+00 0.236975E-01 29 0.950380E+00 0.149009E+02 0.607483E+00 0.324856E+00 0.253155E-01 30 0.946930E+00 0.159369E+02 0.637468E+00 0.322203E+00 0.268322E-01 31 0.943368E+00 0.170067E+02 0.664164E+00 0.317330E+00 0.282495E-01 32 0.939693E+00 0.181103E+02 0.687720E+00 0.310579E+00 0.295708E-01 33 0.935906E+00 0.192475E+02 0.708331E+00 0.302275E+00 0.307998E-01 34 0.932008E+00 0.204180E+02 0.726223E+00 0.292707E+00 0.319406E-01 35 0.927999E+00 0.216219E+02 0.741629E+00 0.282139E+00 0.329977E-01 36 0.923880E+00 0.228590E+02 0.754787E+00 0.270814E+00 0.339768E-01 37 0.919650E+00 0.241290E+02 0.765923E+00 0.258961E+00 0.348839E-01 38 0.915311E+00 0.254320E+02 0.775243E+00 0.246787E+00 0.357233E-01 39 0.910864E+00 0.267676E+02 0.782933E+00 0.234480E+00 0.364968E-01 40 0.906308E+00 0.281358E+02 0.789153E+00 0.222208E+00 0.372051E-01 41 0.901644E+00 0.295363E+02 0.794048E+00 0.210121E+00 0.378487E-01 42 0.896873E+00 0.309691E+02 0.797748E+00 0.198341E+00 0.384288E-01 43 0.891995E+00 0.324339E+02 0.800373E+00 0.186947E+00 0.389460E-01 44 0.887011E+00 0.339306E+02 0.802036E+00 0.175968E+00 0.393996E-01 45 0.881921E+00 0.354590E+02 0.802839E+00 0.165402E+00 0.397899E-01 46 0.876727E+00 0.370190E+02 0.802874E+00 0.155244E+00 0.401201E-01 47 0.871428E+00 0.386102E+02 0.802222E+00 0.145497E+00 0.403962E-01 48 0.866025E+00 0.402326E+02 0.800953E+00 0.136174E+00 0.406264E-01 49 0.860520E+00 0.418859E+02 0.799133E+00 0.127285E+00 0.408208E-01 50 0.854912E+00 0.435700E+02 0.796820E+00 0.118821E+00 0.409903E-01 51 0.849202E+00 0.452846E+02 0.794068E+00 0.110743E+00 0.411429E-01 52 0.843391E+00 0.470295E+02 0.790924E+00 0.102987E+00 0.412826E-01 53 0.837480E+00 0.488046E+02 0.787426E+00 0.955081E-01 0.414110E-01 54 0.831470E+00 0.506097E+02 0.783604E+00 0.883164E-01 0.415310E-01 55 0.825360E+00 0.524444E+02 0.779481E+00 0.814773E-01 0.416477E-01 56 0.819152E+00 0.543086E+02 0.775078E+00 0.750625E-01 0.417632E-01 57 0.812847E+00 0.562021E+02 0.770413E+00 0.690911E-01 0.418725E-01 58 0.806445E+00 0.581247E+02 0.765506E+00 0.635135E-01 0.419666E-01 59 0.799947E+00 0.600760E+02 0.760373E+00 0.582341E-01 0.420364E-01 60 0.793353E+00 0.620560E+02 0.755032E+00 0.531454E-01 0.420776E-01 61 0.786666E+00 0.640643E+02 0.749502E+00 0.481714E-01 0.420931E-01 62 0.779884E+00 0.661007E+02 0.743799E+00 0.432925E-01 0.420916E-01 63 0.773010E+00 0.681650E+02 0.737936E+00 0.385306E-01 0.420829E-01 64 0.766044E+00 0.702569E+02 0.731927E+00 0.339301E-01 0.420750E-01 65 0.758987E+00 0.723761E+02 0.725779E+00 0.295597E-01 0.420729E-01 66 0.751840E+00 0.745225E+02 0.719493E+00 0.254792E-01 0.420791E-01 67 0.744603E+00 0.766958E+02 0.713071E+00 0.216985E-01 0.420941E-01 68 0.737277E+00 0.788956E+02 0.706521E+00 0.181980E-01 0.421183E-01 69 0.729864E+00 0.811218E+02 0.699857E+00 0.149538E-01 0.421516E-01 70 0.722364E+00 0.833741E+02 0.693089E+00 0.119418E-01 0.421930E-01 71 0.714778E+00 0.856522E+02 0.686216E+00 0.913554E-02 0.422397E-01 72 0.707107E+00 0.879558E+02 0.679238E+00 0.652800E-02 0.422913E-01 73 0.699352E+00 0.902847E+02 0.672157E+00 0.416179E-02 0.423513E-01 74 0.691513E+00 0.926386E+02 0.664979E+00 0.208619E-02 0.424197E-01 75 0.683592E+00 0.950172E+02 0.657704E+00 0.310092E-03 0.424919E-01 76 0.675590E+00 0.974203E+02 0.650330E+00 -0.119453E-02 0.425657E-01 77 0.667508E+00 0.998474E+02 0.642851E+00 -0.249948E-02 0.426418E-01 78 0.659346E+00 0.102298E+03 0.635270E+00 -0.372246E-02 0.427217E-01 79 0.651105E+00 0.104773E+03 0.627592E+00 -0.497382E-02 0.428055E-01 80 0.642788E+00 0.107271E+03 0.619827E+00 -0.631008E-02 0.428884E-01 81 0.634393E+00 0.109792E+03 0.611977E+00 -0.774225E-02 0.429620E-01 82 0.625923E+00 0.112335E+03 0.604042E+00 -0.925922E-02 0.430185E-01 83 0.617379E+00 0.114901E+03 0.596020E+00 -0.108342E-01 0.430550E-01 84 0.608761E+00 0.117489E+03 0.587909E+00 -0.124262E-01 0.430758E-01 85 0.600071E+00 0.120099E+03 0.579709E+00 -0.139976E-01 0.430855E-01 86 0.591310E+00 0.122730E+03 0.571417E+00 -0.155353E-01 0.430819E-01 87 0.582478E+00 0.125382E+03 0.563034E+00 -0.170403E-01 0.430627E-01 88 0.573576E+00 0.128055E+03 0.554564E+00 -0.185105E-01 0.430274E-01 89 0.564607E+00 0.130749E+03 0.546007E+00 -0.199361E-01 0.429751E-01 90 0.555570E+00 0.133462E+03 0.537365E+00 -0.212924E-01 0.429075E-01 91 0.546467E+00 0.136196E+03 0.528637E+00 -0.225384E-01 0.428285E-01 92 0.537300E+00 0.138949E+03 0.519819E+00 -0.236166E-01 0.427425E-01 93 0.528068E+00 0.141721E+03 0.510913E+00 -0.244689E-01 0.426537E-01 94 0.518773E+00 0.144512E+03 0.501923E+00 -0.250734E-01 0.425651E-01 95 0.509417E+00 0.147322E+03 0.492853E+00 -0.254324E-01 0.424774E-01 96 0.500000E+00 0.150150E+03 0.483706E+00 -0.255428E-01 0.423885E-01 97 0.490524E+00 0.152996E+03 0.474488E+00 -0.254051E-01 0.422928E-01 98 0.480989E+00 0.155859E+03 0.465202E+00 -0.250325E-01 0.421857E-01 99 0.471397E+00 0.158740E+03 0.455853E+00 -0.244372E-01 0.420682E-01 100 0.461749E+00 0.161637E+03 0.446447E+00 -0.236147E-01 0.419420E-01 101 0.452046E+00 0.164551E+03 0.436987E+00 -0.225682E-01 0.418061E-01 102 0.442289E+00 0.167481E+03 0.427475E+00 -0.213290E-01 0.416593E-01 103 0.432479E+00 0.170426E+03 0.417917E+00 -0.199358E-01 0.415011E-01 104 0.422618E+00 0.173388E+03 0.408313E+00 -0.184143E-01 0.413329E-01 105 0.412707E+00 0.176364E+03 0.398665E+00 -0.167841E-01 0.411594E-01 106 0.402747E+00 0.179355E+03 0.388970E+00 -0.150683E-01 0.409843E-01 107 0.392738E+00 0.182361E+03 0.379229E+00 -0.133008E-01 0.408115E-01 108 0.382683E+00 0.185380E+03 0.369443E+00 -0.115294E-01 0.406457E-01 109 0.372583E+00 0.188413E+03 0.359615E+00 -0.980421E-02 0.404875E-01 110 0.362438E+00 0.191460E+03 0.349746E+00 -0.814884E-02 0.403335E-01 111 0.352250E+00 0.194519E+03 0.339837E+00 -0.654308E-02 0.401807E-01 112 0.342020E+00 0.197591E+03 0.329888E+00 -0.495129E-02 0.400267E-01 113 0.331750E+00 0.200676E+03 0.319899E+00 -0.336717E-02 0.398697E-01 114 0.321439E+00 0.203772E+03 0.309876E+00 -0.180500E-02 0.397078E-01 115 0.311091E+00 0.206879E+03 0.299827E+00 -0.268780E-03 0.395395E-01 116 0.300706E+00 0.209998E+03 0.289756E+00 0.125045E-02 0.393651E-01 117 0.290285E+00 0.213128E+03 0.279664E+00 0.275493E-02 0.391849E-01 118 0.279829E+00 0.216267E+03 0.269552E+00 0.422054E-02 0.389980E-01 119 0.269340E+00 0.219417E+03 0.259418E+00 0.559978E-02 0.388029E-01 120 0.258819E+00 0.222577E+03 0.249262E+00 0.685557E-02 0.385987E-01 121 0.248267E+00 0.225745E+03 0.239088E+00 0.799343E-02 0.383891E-01 122 0.237686E+00 0.228923E+03 0.228901E+00 0.904865E-02 0.381813E-01 123 0.227076E+00 0.232109E+03 0.218701E+00 0.100496E-01 0.379808E-01 124 0.216440E+00 0.235303E+03 0.208492E+00 0.109918E-01 0.377894E-01 125 0.205777E+00 0.238505E+03 0.198273E+00 0.118444E-01 0.376070E-01 126 0.195090E+00 0.241714E+03 0.188041E+00 0.125792E-01 0.374327E-01 127 0.184380E+00 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0.949209E+00 0.412077E-01 206 -0.625923E+00 0.488265E+03 -0.214120E+01 0.948357E+00 0.444083E-01 207 -0.634393E+00 0.490808E+03 -0.216576E+01 0.947484E+00 0.480241E-01 208 -0.642788E+00 0.493329E+03 -0.219101E+01 0.946603E+00 0.519984E-01 209 -0.651105E+00 0.495827E+03 -0.221692E+01 0.945700E+00 0.562223E-01 210 -0.659346E+00 0.498302E+03 -0.224355E+01 0.944777E+00 0.605638E-01 211 -0.667508E+00 0.500753E+03 -0.227096E+01 0.943837E+00 0.649200E-01 212 -0.675590E+00 0.503180E+03 -0.229925E+01 0.942884E+00 0.692623E-01 213 -0.683592E+00 0.505583E+03 -0.232847E+01 0.941919E+00 0.736332E-01 214 -0.691513E+00 0.507961E+03 -0.235871E+01 0.940924E+00 0.780830E-01 215 -0.699352E+00 0.510315E+03 -0.239011E+01 0.939887E+00 0.826137E-01 216 -0.707107E+00 0.512644E+03 -0.242288E+01 0.938792E+00 0.872003E-01 217 -0.714778E+00 0.514948E+03 -0.245721E+01 0.937634E+00 0.918533E-01 218 -0.722364E+00 0.517226E+03 -0.249334E+01 0.936421E+00 0.966401E-01 219 -0.729864E+00 0.519478E+03 -0.253149E+01 0.935157E+00 0.101645E+00 220 -0.737277E+00 0.521704E+03 -0.257187E+01 0.933839E+00 0.106894E+00 221 -0.744603E+00 0.523904E+03 -0.261467E+01 0.932459E+00 0.112333E+00 222 -0.751840E+00 0.526077E+03 -0.266001E+01 0.931002E+00 0.117906E+00 223 -0.758987E+00 0.528224E+03 -0.270794E+01 0.929466E+00 0.123600E+00 224 -0.766044E+00 0.530343E+03 -0.275851E+01 0.927842E+00 0.129387E+00 225 -0.773010E+00 0.532435E+03 -0.281180E+01 0.926121E+00 0.135193E+00 226 -0.779884E+00 0.534499E+03 -0.286798E+01 0.924299E+00 0.140964E+00 227 -0.786666E+00 0.536536E+03 -0.292719E+01 0.922364E+00 0.146707E+00 228 -0.793353E+00 0.538544E+03 -0.298961E+01 0.920304E+00 0.152450E+00 229 -0.799947E+00 0.540524E+03 -0.305540E+01 0.918096E+00 0.158208E+00 230 -0.806445E+00 0.542475E+03 -0.312480E+01 0.915716E+00 0.163988E+00 231 -0.812847E+00 0.544398E+03 -0.319814E+01 0.913139E+00 0.169822E+00 232 -0.819152E+00 0.546291E+03 -0.327579E+01 0.910348E+00 0.175769E+00 233 -0.825360E+00 0.548156E+03 -0.335808E+01 0.907339E+00 0.181889E+00 234 -0.831470E+00 0.549990E+03 -0.344528E+01 0.904090E+00 0.188234E+00 235 -0.837480E+00 0.551795E+03 -0.353758E+01 0.900590E+00 0.194843E+00 236 -0.843391E+00 0.553570E+03 -0.363500E+01 0.896817E+00 0.201729E+00 237 -0.849202E+00 0.555315E+03 -0.373753E+01 0.892745E+00 0.208887E+00 238 -0.854912E+00 0.557030E+03 -0.384509E+01 0.888334E+00 0.216339E+00 239 -0.860520E+00 0.558714E+03 -0.395762E+01 0.883537E+00 0.224137E+00 240 -0.866025E+00 0.560367E+03 -0.407507E+01 0.878295E+00 0.232340E+00 241 -0.871428E+00 0.561990E+03 -0.419740E+01 0.872532E+00 0.241001E+00 242 -0.876727E+00 0.563581E+03 -0.432445E+01 0.866178E+00 0.250138E+00 243 -0.881921E+00 0.565141E+03 -0.445598E+01 0.859152E+00 0.259730E+00 244 -0.887011E+00 0.566669E+03 -0.459163E+01 0.851362E+00 0.269709E+00 245 -0.891995E+00 0.568166E+03 -0.473094E+01 0.842708E+00 0.279947E+00 246 -0.896873E+00 0.569631E+03 -0.487309E+01 0.833092E+00 0.290269E+00 247 -0.901644E+00 0.571064E+03 -0.501714E+01 0.822385E+00 0.300488E+00 248 -0.906308E+00 0.572464E+03 -0.516185E+01 0.810461E+00 0.310438E+00 249 -0.910864E+00 0.573832E+03 -0.530581E+01 0.797173E+00 0.319985E+00 250 -0.915311E+00 0.575168E+03 -0.544726E+01 0.782357E+00 0.328998E+00 251 -0.919650E+00 0.576471E+03 -0.558408E+01 0.765846E+00 0.337334E+00 252 -0.923880E+00 0.577741E+03 -0.571381E+01 0.747463E+00 0.344851E+00 253 -0.927999E+00 0.578978E+03 -0.583352E+01 0.727019E+00 0.351415E+00 254 -0.932008E+00 0.580182E+03 -0.593970E+01 0.704333E+00 0.356897E+00 255 -0.935906E+00 0.581353E+03 -0.602856E+01 0.679243E+00 0.361137E+00 256 -0.939693E+00 0.582490E+03 -0.609584E+01 0.651613E+00 0.363926E+00 257 -0.943368E+00 0.583593E+03 -0.613688E+01 0.621348E+00 0.365003E+00 258 -0.946930E+00 0.584663E+03 -0.614679E+01 0.588409E+00 0.364078E+00 259 -0.950380E+00 0.585699E+03 -0.612030E+01 0.552818E+00 0.360852E+00 260 -0.953717E+00 0.586701E+03 -0.605235E+01 0.514700E+00 0.355045E+00 261 -0.956940E+00 0.587669E+03 -0.593823E+01 0.474290E+00 0.346414E+00 262 -0.960050E+00 0.588603E+03 -0.577388E+01 0.431970E+00 0.334786E+00 263 -0.963045E+00 0.589502E+03 -0.555667E+01 0.388253E+00 0.320083E+00 264 -0.965926E+00 0.590368E+03 -0.528563E+01 0.343801E+00 0.302353E+00 265 -0.968692E+00 0.591198E+03 -0.496224E+01 0.299399E+00 0.281789E+00 266 -0.971342E+00 0.591994E+03 -0.459067E+01 0.255923E+00 0.258745E+00 267 -0.973877E+00 0.592755E+03 -0.417826E+01 0.214289E+00 0.233739E+00 268 -0.976296E+00 0.593482E+03 -0.373532E+01 0.175385E+00 0.207433E+00 269 -0.978599E+00 0.594173E+03 -0.327474E+01 0.139996E+00 0.180600E+00 270 -0.980785E+00 0.594830E+03 -0.281107E+01 0.108733E+00 0.154060E+00 271 -0.982855E+00 0.595451E+03 -0.235929E+01 0.819754E-01 0.128609E+00 272 -0.984808E+00 0.596038E+03 -0.193338E+01 0.598398E-01 0.104946E+00 273 -0.986643E+00 0.596589E+03 -0.154495E+01 0.421818E-01 0.836127E-01 274 -0.988362E+00 0.597105E+03 -0.120224E+01 0.286317E-01 0.649603E-01 275 -0.989962E+00 0.597586E+03 -0.909660E+00 0.186530E-01 0.491380E-01 276 -0.991445E+00 0.598031E+03 -0.667919E+00 0.116193E-01 0.361135E-01 277 -0.992810E+00 0.598441E+03 -0.474609E+00 0.688770E-02 0.257111E-01 278 -0.994056E+00 0.598815E+03 -0.325075E+00 0.386104E-02 0.176576E-01 279 -0.995185E+00 0.599154E+03 -0.213378E+00 0.202907E-02 0.116264E-01 280 -0.996195E+00 0.599457E+03 -0.133086E+00 0.987302E-03 0.727531E-02 281 -0.997086E+00 0.599725E+03 -0.778891E-01 0.436726E-03 0.427148E-02 282 -0.997859E+00 0.599957E+03 -0.419692E-01 0.170792E-03 0.230839E-02 283 -0.998513E+00 0.600153E+03 -0.202071E-01 0.564897E-04 0.111429E-02 284 -0.999048E+00 0.600314E+03 -0.826578E-02 0.146560E-04 0.456775E-03 285 -0.999465E+00 0.600439E+03 -0.261272E-02 0.258774E-05 0.144620E-03 286 -0.999762E+00 0.600529E+03 -0.515740E-03 0.225919E-06 0.285808E-04 287 -0.999941E+00 0.600582E+03 -0.322212E-04 0.351849E-08 0.178686E-05 288 -0.100000E+01 0.600600E+03 0.596128E-23 -0.500341E-32 0.794210E-26 4.1.2 Skewness and flatness factors (a) Skewness factors j y/delta y+ uskew vskew wskew pskew tskew 1 0.999941E+00 0.178663E-01 0.943874E+00 -0.266425E+00 0.165982E-01 0.257573E-01 0.115048E+01 2 0.999762E+00 0.714633E-01 0.946780E+00 -0.262591E+00 0.181554E-01 0.258933E-01 0.115048E+01 3 0.999465E+00 0.160784E+00 0.951482E+00 -0.256297E+00 0.207503E-01 0.260933E-01 0.115048E+01 4 0.999048E+00 0.285819E+00 0.957734E+00 -0.247670E+00 0.243742E-01 0.263355E-01 0.115041E+01 5 0.998513E+00 0.446552E+00 0.965114E+00 -0.236859E+00 0.290011E-01 0.265541E-01 0.115015E+01 6 0.997859E+00 0.642965E+00 0.972968E+00 -0.224006E+00 0.345757E-01 0.266687E-01 0.114941E+01 7 0.997086E+00 0.875034E+00 0.980317E+00 -0.209224E+00 0.410007E-01 0.265735E-01 0.114768E+01 8 0.996195E+00 0.114273E+01 0.985788E+00 -0.192575E+00 0.481239E-01 0.260826E-01 0.114422E+01 9 0.995185E+00 0.144603E+01 0.987577E+00 -0.174071E+00 0.557320E-01 0.249549E-01 0.113796E+01 10 0.994056E+00 0.178488E+01 0.983525E+00 -0.153698E+00 0.635513E-01 0.228880E-01 0.112765E+01 11 0.992810E+00 0.215926E+01 0.971355E+00 -0.131455E+00 0.712589E-01 0.194799E-01 0.111193E+01 12 0.991445E+00 0.256911E+01 0.949049E+00 -0.107389E+00 0.785040E-01 0.142780E-01 0.108958E+01 13 0.989962E+00 0.301439E+01 0.915281E+00 -0.816027E-01 0.849359E-01 0.680396E-02 0.105977E+01 14 0.988362E+00 0.349504E+01 0.869717E+00 -0.542517E-01 0.902332E-01 -0.345555E-02 0.102224E+01 15 0.986643E+00 0.401101E+01 0.813090E+00 -0.255455E-01 0.941290E-01 -0.169745E-01 0.977364E+00 16 0.984808E+00 0.456223E+01 0.747023E+00 0.423897E-02 0.964261E-01 -0.341431E-01 0.926097E+00 17 0.982855E+00 0.514865E+01 0.673710E+00 0.347309E-01 0.970051E-01 -0.552672E-01 0.869829E+00 18 0.980785E+00 0.577018E+01 0.595561E+00 0.654424E-01 0.958269E-01 -0.804933E-01 0.810174E+00 19 0.978599E+00 0.642676E+01 0.514924E+00 0.957606E-01 0.929329E-01 -0.109774E+00 0.748791E+00 20 0.976296E+00 0.711831E+01 0.433888E+00 0.124965E+00 0.884379E-01 -0.142894E+00 0.687229E+00 21 0.973877E+00 0.784474E+01 0.354187E+00 0.152268E+00 0.825132E-01 -0.179423E+00 0.626835E+00 22 0.971342E+00 0.860598E+01 0.277175E+00 0.176883E+00 0.753594E-01 -0.218733E+00 0.568701E+00 23 0.968692E+00 0.940192E+01 0.203839E+00 0.198097E+00 0.671796E-01 -0.260065E+00 0.513655E+00 24 0.965926E+00 0.102325E+02 0.134837E+00 0.215335E+00 0.581604E-01 -0.302536E+00 0.462275E+00 25 0.963045E+00 0.110975E+02 0.705488E-01 0.228210E+00 0.484678E-01 -0.345189E+00 0.414918E+00 26 0.960050E+00 0.119970E+02 0.111311E-01 0.236540E+00 0.382538E-01 -0.387089E+00 0.371755E+00 27 0.956940E+00 0.129308E+02 -0.434336E-01 0.240344E+00 0.276682E-01 -0.427353E+00 0.332815E+00 28 0.953717E+00 0.138988E+02 -0.932852E-01 0.239812E+00 0.168588E-01 -0.465198E+00 0.298013E+00 29 0.950380E+00 0.149009E+02 -0.138642E+00 0.235268E+00 0.596671E-02 -0.500018E+00 0.267188E+00 30 0.946930E+00 0.159369E+02 -0.179765E+00 0.227129E+00 -0.487448E-02 -0.531382E+00 0.240128E+00 31 0.943368E+00 0.170067E+02 -0.216924E+00 0.215864E+00 -0.155397E-01 -0.559039E+00 0.216597E+00 32 0.939693E+00 0.181103E+02 -0.250377E+00 0.201964E+00 -0.259241E-01 -0.582934E+00 0.196354E+00 33 0.935906E+00 0.192475E+02 -0.280361E+00 0.185912E+00 -0.359525E-01 -0.603168E+00 0.179166E+00 34 0.932008E+00 0.204180E+02 -0.307092E+00 0.168166E+00 -0.455696E-01 -0.619958E+00 0.164811E+00 35 0.927999E+00 0.216219E+02 -0.330765E+00 0.149145E+00 -0.547227E-01 -0.633617E+00 0.153074E+00 36 0.923880E+00 0.228590E+02 -0.351560E+00 0.129224E+00 -0.633632E-01 -0.644500E+00 0.143753E+00 37 0.919650E+00 0.241290E+02 -0.369647E+00 0.108734E+00 -0.714499E-01 -0.652965E+00 0.136647E+00 38 0.915311E+00 0.254320E+02 -0.385187E+00 0.879588E-01 -0.789409E-01 -0.659388E+00 0.131559E+00 39 0.910864E+00 0.267676E+02 -0.398330E+00 0.671361E-01 -0.857965E-01 -0.664155E+00 0.128315E+00 40 0.906308E+00 0.281358E+02 -0.409220E+00 0.464576E-01 -0.920041E-01 -0.667638E+00 0.126763E+00 41 0.901644E+00 0.295363E+02 -0.417990E+00 0.260731E-01 -0.975921E-01 -0.670193E+00 0.126765E+00 42 0.896873E+00 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0.600153E+03 0.970031E+00 0.223859E+00 -0.267955E-01 0.147184E-01 -0.115175E+01 284 -0.999048E+00 0.600314E+03 0.962759E+00 0.235208E+00 -0.214978E-01 0.145300E-01 -0.115216E+01 285 -0.999465E+00 0.600439E+03 0.956600E+00 0.244238E+00 -0.173588E-01 0.143313E-01 -0.115216E+01 286 -0.999762E+00 0.600529E+03 0.951971E+00 0.250814E+00 -0.144029E-01 0.141336E-01 -0.117201E+01 287 -0.999941E+00 0.600582E+03 0.949112E+00 0.254815E+00 -0.126347E-01 0.140100E-01 -0.117201E+01 (b) Flatness factors j y/delta y+ uflat vflat wflat pflat tflat 1 0.999941E+00 0.178663E-01 0.451376E+01 0.298776E+02 0.848144E+01 0.542611E+01 0.518948E+01 2 0.999762E+00 0.714633E-01 0.451663E+01 0.296115E+02 0.842313E+01 0.542457E+01 0.518949E+01 3 0.999465E+00 0.160784E+00 0.452166E+01 0.291716E+02 0.832694E+01 0.542221E+01 0.518946E+01 4 0.999048E+00 0.285819E+00 0.452888E+01 0.285638E+02 0.819426E+01 0.541943E+01 0.518904E+01 5 0.998513E+00 0.446552E+00 0.453773E+01 0.277974E+02 0.802709E+01 0.541663E+01 0.518727E+01 6 0.997859E+00 0.642965E+00 0.454638E+01 0.268856E+02 0.782812E+01 0.541444E+01 0.518211E+01 7 0.997086E+00 0.875034E+00 0.455113E+01 0.258456E+02 0.760088E+01 0.541365E+01 0.517009E+01 8 0.996195E+00 0.114273E+01 0.454577E+01 0.246989E+02 0.734981E+01 0.541511E+01 0.514606E+01 9 0.995185E+00 0.144603E+01 0.452167E+01 0.234703E+02 0.708031E+01 0.541986E+01 0.510342E+01 10 0.994056E+00 0.178488E+01 0.446881E+01 0.221862E+02 0.679845E+01 0.542913E+01 0.503514E+01 11 0.992810E+00 0.215926E+01 0.437816E+01 0.208738E+02 0.651067E+01 0.544413E+01 0.493541E+01 12 0.991445E+00 0.256911E+01 0.424480E+01 0.195594E+02 0.622319E+01 0.546622E+01 0.480153E+01 13 0.989962E+00 0.301439E+01 0.407016E+01 0.182678E+02 0.594160E+01 0.549684E+01 0.463506E+01 14 0.988362E+00 0.349504E+01 0.386233E+01 0.170209E+02 0.567054E+01 0.553730E+01 0.444177E+01 15 0.986643E+00 0.401101E+01 0.363414E+01 0.158365E+02 0.541359E+01 0.558885E+01 0.423049E+01 16 0.984808E+00 0.456223E+01 0.340015E+01 0.147269E+02 0.517322E+01 0.565259E+01 0.401140E+01 17 0.982855E+00 0.514865E+01 0.317379E+01 0.136987E+02 0.495080E+01 0.572911E+01 0.379435E+01 18 0.980785E+00 0.577018E+01 0.296560E+01 0.127532E+02 0.474672E+01 0.581843E+01 0.358770E+01 19 0.978599E+00 0.642676E+01 0.278257E+01 0.118876E+02 0.456062E+01 0.591984E+01 0.339765E+01 20 0.976296E+00 0.711831E+01 0.262828E+01 0.110965E+02 0.439168E+01 0.603157E+01 0.322814E+01 21 0.973877E+00 0.784474E+01 0.250357E+01 0.103730E+02 0.423885E+01 0.615091E+01 0.308103E+01 22 0.971342E+00 0.860598E+01 0.240729E+01 0.971022E+01 0.410100E+01 0.627424E+01 0.295659E+01 23 0.968692E+00 0.940192E+01 0.233703E+01 0.910180E+01 0.397703E+01 0.639715E+01 0.285389E+01 24 0.965926E+00 0.102325E+02 0.228973E+01 0.854234E+01 0.386593E+01 0.651490E+01 0.277126E+01 25 0.963045E+00 0.110975E+02 0.226207E+01 0.802751E+01 0.376678E+01 0.662287E+01 0.270663E+01 26 0.960050E+00 0.119970E+02 0.225081E+01 0.755393E+01 0.367878E+01 0.671682E+01 0.265783E+01 27 0.956940E+00 0.129308E+02 0.225295E+01 0.711893E+01 0.360125E+01 0.679351E+01 0.262273E+01 28 0.953717E+00 0.138988E+02 0.226584E+01 0.672029E+01 0.353361E+01 0.685087E+01 0.259934E+01 29 0.950380E+00 0.149009E+02 0.228717E+01 0.635604E+01 0.347534E+01 0.688794E+01 0.258589E+01 30 0.946930E+00 0.159369E+02 0.231500E+01 0.602432E+01 0.342580E+01 0.690494E+01 0.258079E+01 31 0.943368E+00 0.170067E+02 0.234770E+01 0.572328E+01 0.338423E+01 0.690307E+01 0.258267E+01 32 0.939693E+00 0.181103E+02 0.238392E+01 0.545101E+01 0.334973E+01 0.688423E+01 0.259033E+01 33 0.935906E+00 0.192475E+02 0.242252E+01 0.520556E+01 0.332134E+01 0.685108E+01 0.260280E+01 34 0.932008E+00 0.204180E+02 0.246256E+01 0.498497E+01 0.329808E+01 0.680671E+01 0.261922E+01 35 0.927999E+00 0.216219E+02 0.250328E+01 0.478732E+01 0.327903E+01 0.675413E+01 0.263888E+01 36 0.923880E+00 0.228590E+02 0.254401E+01 0.461077E+01 0.326348E+01 0.669614E+01 0.266115E+01 37 0.919650E+00 0.241290E+02 0.258415E+01 0.445357E+01 0.325095E+01 0.663506E+01 0.268545E+01 38 0.915311E+00 0.254320E+02 0.262318E+01 0.431406E+01 0.324109E+01 0.657272E+01 0.271125E+01 39 0.910864E+00 0.267676E+02 0.266064E+01 0.419064E+01 0.323359E+01 0.651098E+01 0.273809E+01 40 0.906308E+00 0.281358E+02 0.269616E+01 0.408175E+01 0.322808E+01 0.645183E+01 0.276564E+01 41 0.901644E+00 0.295363E+02 0.272947E+01 0.398585E+01 0.322411E+01 0.639710E+01 0.279369E+01 42 0.896873E+00 0.309691E+02 0.276038E+01 0.390147E+01 0.322138E+01 0.634812E+01 0.282211E+01 43 0.891995E+00 0.324339E+02 0.278879E+01 0.382730E+01 0.321965E+01 0.630519E+01 0.285081E+01 44 0.887011E+00 0.339306E+02 0.281470E+01 0.376216E+01 0.321870E+01 0.626744E+01 0.287976E+01 45 0.881921E+00 0.354590E+02 0.283817E+01 0.370507E+01 0.321830E+01 0.623321E+01 0.290886E+01 46 0.876727E+00 0.370190E+02 0.285925E+01 0.365514E+01 0.321818E+01 0.620068E+01 0.293806E+01 47 0.871428E+00 0.386102E+02 0.287801E+01 0.361159E+01 0.321804E+01 0.616846E+01 0.296733E+01 48 0.866025E+00 0.402326E+02 0.289455E+01 0.357367E+01 0.321773E+01 0.613594E+01 0.299664E+01 49 0.860520E+00 0.418859E+02 0.290903E+01 0.354070E+01 0.321715E+01 0.610306E+01 0.302599E+01 50 0.854912E+00 0.435700E+02 0.292154E+01 0.351207E+01 0.321622E+01 0.606983E+01 0.305538E+01 51 0.849202E+00 0.452846E+02 0.293210E+01 0.348731E+01 0.321480E+01 0.603582E+01 0.308480E+01 52 0.843391E+00 0.470295E+02 0.294074E+01 0.346601E+01 0.321297E+01 0.600031E+01 0.311415E+01 53 0.837480E+00 0.488046E+02 0.294752E+01 0.344781E+01 0.321112E+01 0.596324E+01 0.314323E+01 54 0.831470E+00 0.506097E+02 0.295264E+01 0.343236E+01 0.320956E+01 0.592556E+01 0.317192E+01 55 0.825360E+00 0.524444E+02 0.295633E+01 0.341934E+01 0.320833E+01 0.588850E+01 0.320012E+01 56 0.819152E+00 0.543086E+02 0.295883E+01 0.340846E+01 0.320733E+01 0.585326E+01 0.322783E+01 57 0.812847E+00 0.562021E+02 0.296026E+01 0.339949E+01 0.320670E+01 0.582130E+01 0.325516E+01 58 0.806445E+00 0.581247E+02 0.296060E+01 0.339222E+01 0.320657E+01 0.579368E+01 0.328228E+01 59 0.799947E+00 0.600760E+02 0.295985E+01 0.338646E+01 0.320680E+01 0.577037E+01 0.330928E+01 60 0.793353E+00 0.620560E+02 0.295811E+01 0.338202E+01 0.320732E+01 0.575150E+01 0.333607E+01 61 0.786666E+00 0.640643E+02 0.295547E+01 0.337874E+01 0.320829E+01 0.573740E+01 0.336239E+01 62 0.779884E+00 0.661007E+02 0.295212E+01 0.337641E+01 0.320979E+01 0.572748E+01 0.338798E+01 63 0.773010E+00 0.681650E+02 0.294840E+01 0.337487E+01 0.321164E+01 0.572001E+01 0.341253E+01 64 0.766044E+00 0.702569E+02 0.294461E+01 0.337394E+01 0.321360E+01 0.571243E+01 0.343584E+01 65 0.758987E+00 0.723761E+02 0.294086E+01 0.337347E+01 0.321553E+01 0.570237E+01 0.345782E+01 66 0.751840E+00 0.745225E+02 0.293711E+01 0.337339E+01 0.321734E+01 0.568913E+01 0.347851E+01 67 0.744603E+00 0.766958E+02 0.293333E+01 0.337367E+01 0.321894E+01 0.567344E+01 0.349801E+01 68 0.737277E+00 0.788956E+02 0.292944E+01 0.337436E+01 0.322028E+01 0.565673E+01 0.351630E+01 69 0.729864E+00 0.811218E+02 0.292535E+01 0.337558E+01 0.322133E+01 0.564144E+01 0.353337E+01 70 0.722364E+00 0.833741E+02 0.292118E+01 0.337745E+01 0.322211E+01 0.563025E+01 0.354914E+01 71 0.714778E+00 0.856522E+02 0.291713E+01 0.338012E+01 0.322269E+01 0.562481E+01 0.356360E+01 72 0.707107E+00 0.879558E+02 0.291338E+01 0.338365E+01 0.322320E+01 0.562441E+01 0.357678E+01 73 0.699352E+00 0.902847E+02 0.291006E+01 0.338805E+01 0.322384E+01 0.562590E+01 0.358869E+01 74 0.691513E+00 0.926386E+02 0.290712E+01 0.339327E+01 0.322499E+01 0.562596E+01 0.359944E+01 75 0.683592E+00 0.950172E+02 0.290461E+01 0.339920E+01 0.322687E+01 0.562314E+01 0.360911E+01 76 0.675590E+00 0.974203E+02 0.290274E+01 0.340573E+01 0.322909E+01 0.561750E+01 0.361761E+01 77 0.667508E+00 0.998474E+02 0.290170E+01 0.341275E+01 0.323131E+01 0.561007E+01 0.362477E+01 78 0.659346E+00 0.102298E+03 0.290159E+01 0.342011E+01 0.323359E+01 0.560284E+01 0.363041E+01 79 0.651105E+00 0.104773E+03 0.290260E+01 0.342772E+01 0.323591E+01 0.559838E+01 0.363437E+01 80 0.642788E+00 0.107271E+03 0.290500E+01 0.343550E+01 0.323796E+01 0.559819E+01 0.363665E+01 81 0.634393E+00 0.109792E+03 0.290882E+01 0.344347E+01 0.324007E+01 0.560160E+01 0.363749E+01 82 0.625923E+00 0.112335E+03 0.291377E+01 0.345168E+01 0.324299E+01 0.560690E+01 0.363707E+01 83 0.617379E+00 0.114901E+03 0.291942E+01 0.346020E+01 0.324757E+01 0.561305E+01 0.363541E+01 84 0.608761E+00 0.117489E+03 0.292555E+01 0.346911E+01 0.325393E+01 0.561983E+01 0.363228E+01 85 0.600071E+00 0.120099E+03 0.293208E+01 0.347841E+01 0.326121E+01 0.562677E+01 0.362752E+01 86 0.591310E+00 0.122730E+03 0.293886E+01 0.348800E+01 0.326867E+01 0.563305E+01 0.362119E+01 87 0.582478E+00 0.125382E+03 0.294580E+01 0.349776E+01 0.327611E+01 0.563886E+01 0.361332E+01 88 0.573576E+00 0.128055E+03 0.295286E+01 0.350760E+01 0.328338E+01 0.564625E+01 0.360411E+01 89 0.564607E+00 0.130749E+03 0.296010E+01 0.351743E+01 0.329037E+01 0.565786E+01 0.359388E+01 90 0.555570E+00 0.133462E+03 0.296768E+01 0.352719E+01 0.329756E+01 0.567425E+01 0.358276E+01 91 0.546467E+00 0.136196E+03 0.297576E+01 0.353677E+01 0.330590E+01 0.569217E+01 0.357070E+01 92 0.537300E+00 0.138949E+03 0.298461E+01 0.354612E+01 0.331602E+01 0.570692E+01 0.355762E+01 93 0.528068E+00 0.141721E+03 0.299456E+01 0.355527E+01 0.332813E+01 0.571616E+01 0.354342E+01 94 0.518773E+00 0.144512E+03 0.300561E+01 0.356434E+01 0.334200E+01 0.572137E+01 0.352802E+01 95 0.509417E+00 0.147322E+03 0.301756E+01 0.357349E+01 0.335688E+01 0.572732E+01 0.351133E+01 96 0.500000E+00 0.150150E+03 0.303022E+01 0.358279E+01 0.337232E+01 0.573895E+01 0.349328E+01 97 0.490524E+00 0.152996E+03 0.304357E+01 0.359232E+01 0.338809E+01 0.575878E+01 0.347378E+01 98 0.480989E+00 0.155859E+03 0.305775E+01 0.360209E+01 0.340378E+01 0.578581E+01 0.345273E+01 99 0.471397E+00 0.158740E+03 0.307291E+01 0.361212E+01 0.341890E+01 0.581607E+01 0.343002E+01 100 0.461749E+00 0.161637E+03 0.308917E+01 0.362239E+01 0.343340E+01 0.584703E+01 0.340567E+01 101 0.452046E+00 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257 -0.943368E+00 0.583593E+03 0.234642E+01 0.572797E+01 0.338009E+01 0.695404E+01 0.259201E+01 258 -0.946930E+00 0.584663E+03 0.231352E+01 0.603415E+01 0.342229E+01 0.695809E+01 0.258892E+01 259 -0.950380E+00 0.585699E+03 0.228550E+01 0.637225E+01 0.347163E+01 0.694382E+01 0.259300E+01 260 -0.953717E+00 0.586701E+03 0.226399E+01 0.674418E+01 0.352914E+01 0.690966E+01 0.260560E+01 261 -0.956940E+00 0.587669E+03 0.225097E+01 0.715183E+01 0.359593E+01 0.685521E+01 0.262830E+01 262 -0.960050E+00 0.588603E+03 0.224875E+01 0.759727E+01 0.367300E+01 0.678138E+01 0.266288E+01 263 -0.963045E+00 0.589502E+03 0.226004E+01 0.808277E+01 0.376112E+01 0.669007E+01 0.271134E+01 264 -0.965926E+00 0.590368E+03 0.228786E+01 0.861099E+01 0.386096E+01 0.658442E+01 0.277579E+01 265 -0.968692E+00 0.591198E+03 0.233548E+01 0.918512E+01 0.397321E+01 0.646863E+01 0.285843E+01 266 -0.971342E+00 0.591994E+03 0.240625E+01 0.980901E+01 0.409870E+01 0.634719E+01 0.296132E+01 267 -0.973877E+00 0.592755E+03 0.250328E+01 0.104871E+02 0.423846E+01 0.622479E+01 0.308621E+01 268 -0.976296E+00 0.593482E+03 0.262901E+01 0.112245E+02 0.439363E+01 0.610585E+01 0.323410E+01 269 -0.978599E+00 0.594173E+03 0.278460E+01 0.120262E+02 0.456536E+01 0.599398E+01 0.340486E+01 270 -0.980785E+00 0.594830E+03 0.296926E+01 0.128968E+02 0.475461E+01 0.589198E+01 0.359671E+01 271 -0.982855E+00 0.595451E+03 0.317942E+01 0.138395E+02 0.496208E+01 0.580177E+01 0.380587E+01 272 -0.984808E+00 0.596038E+03 0.340814E+01 0.148546E+02 0.518799E+01 0.572417E+01 0.402623E+01 273 -0.986643E+00 0.596589E+03 0.364486E+01 0.159390E+02 0.543194E+01 0.565924E+01 0.424939E+01 274 -0.988362E+00 0.597105E+03 0.387600E+01 0.170851E+02 0.569259E+01 0.560653E+01 0.446514E+01 275 -0.989962E+00 0.597586E+03 0.408673E+01 0.182808E+02 0.596747E+01 0.556501E+01 0.466266E+01 276 -0.991445E+00 0.598031E+03 0.426389E+01 0.195096E+02 0.625283E+01 0.553345E+01 0.483233E+01 277 -0.992810E+00 0.598441E+03 0.439913E+01 0.207523E+02 0.654372E+01 0.551060E+01 0.496787E+01 278 -0.994056E+00 0.598815E+03 0.449100E+01 0.219874E+02 0.683422E+01 0.549503E+01 0.506826E+01 279 -0.995185E+00 0.599154E+03 0.454466E+01 0.231919E+02 0.711793E+01 0.548537E+01 0.513581E+01 280 -0.996195E+00 0.599457E+03 0.456934E+01 0.243417E+02 0.738844E+01 0.548039E+01 0.517660E+01 281 -0.997086E+00 0.599725E+03 0.457524E+01 0.254128E+02 0.763978E+01 0.547883E+01 0.520221E+01 282 -0.997859E+00 0.599957E+03 0.457107E+01 0.263829E+02 0.786681E+01 0.547962E+01 0.521170E+01 283 -0.998513E+00 0.600153E+03 0.456299E+01 0.272325E+02 0.806529E+01 0.548188E+01 0.521056E+01 284 -0.999048E+00 0.600314E+03 0.455471E+01 0.279457E+02 0.823187E+01 0.548477E+01 0.533007E+01 285 -0.999465E+00 0.600439E+03 0.454799E+01 0.285108E+02 0.836397E+01 0.548766E+01 0.533007E+01 286 -0.999762E+00 0.600529E+03 0.454339E+01 0.289196E+02 0.845967E+01 0.549011E+01 0.533007E+01 287 -0.999941E+00 0.600582E+03 0.454080E+01 0.291669E+02 0.851764E+01 0.549172E+01 0.533007E+01 4.2 Budgets of turbulence energy, Reynolds stresses, dissipation rate of k, temperature variance, its dissipation rates and turbulent heat fluxes Prod = Production R_Prod = Production due to system rotation T_Prod = Turbulent production G_Prod = Gradient production M_Prod = Mixed production S_prod = production by turbulent stretching of turbulent vorticity Mg_Prod = Mean gradient production MS_Prod = Production of turbulent vorticity by mean strain rate P&S_corr = Pressure strain correlation P&T_Corr = Pressure temperature gradient correlation T_Diff = Turbulent diffusion V_Diff = Viscous diffusion P_Diff = Pressure diffusion M_Diff = Molecular diffusion Diss = Dissipation T_Trans = Turbulent transport V_Trans = Viscous transport 4.2.1 Budget for y+ Prod R_Prod P&S_corr Diss V_Diff T_Diff Residual 0.000000E+00 0.131768E-31 0.000000E+00 0.140876E-18 -0.298025E+00 0.298022E+00 -0.190297E-07 -0.336149E-05 0.178663E-01 0.103610E-07 0.000000E+00 0.116298E-03 -0.297799E+00 0.297685E+00 0.264454E-07 0.260564E-05 0.714633E-01 0.665885E-06 0.000000E+00 0.447500E-03 -0.297167E+00 0.296728E+00 0.107572E-05 0.102392E-04 0.160784E+00 0.763678E-05 0.000000E+00 0.941989E-03 -0.296252E+00 0.295311E+00 0.124054E-04 0.214859E-04 0.285819E+00 0.433041E-04 0.000000E+00 0.151848E-02 -0.295230E+00 0.293637E+00 0.699034E-04 0.386230E-04 0.446552E+00 0.167028E-03 0.000000E+00 0.207303E-02 -0.294283E+00 0.291835E+00 0.267801E-03 0.600645E-04 0.642965E+00 0.504848E-03 0.000000E+00 0.248838E-02 -0.293539E+00 0.289827E+00 0.801834E-03 0.831893E-04 0.875034E+00 0.128867E-02 0.000000E+00 0.264495E-02 -0.293025E+00 0.287179E+00 0.201923E-02 0.107823E-03 0.114273E+01 0.290257E-02 0.000000E+00 0.243200E-02 -0.292611E+00 0.282952E+00 0.445618E-02 0.131900E-03 0.144603E+01 0.592906E-02 0.000000E+00 0.175758E-02 -0.291977E+00 0.275616E+00 0.882660E-02 0.151606E-03 0.178488E+01 0.111811E-01 0.000000E+00 0.556065E-03 -0.290616E+00 0.263136E+00 0.159078E-01 0.165180E-03 0.215926E+01 0.196976E-01 0.000000E+00 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-0.125173E+00 -0.284676E-03 0.159369E+02 0.395846E+00 0.000000E+00 -0.652583E-01 -0.179778E+00 -0.330086E-01 -0.118085E+00 -0.283980E-03 0.170067E+02 0.372243E+00 0.000000E+00 -0.664974E-01 -0.173298E+00 -0.243202E-01 -0.108410E+00 -0.282587E-03 0.181103E+02 0.348005E+00 0.000000E+00 -0.674715E-01 -0.166451E+00 -0.172310E-01 -0.971309E-01 -0.279351E-03 0.192475E+02 0.323885E+00 0.000000E+00 -0.682016E-01 -0.159365E+00 -0.115332E-01 -0.850598E-01 -0.275172E-03 0.204180E+02 0.300431E+00 0.000000E+00 -0.687079E-01 -0.152146E+00 -0.701979E-02 -0.728271E-01 -0.270277E-03 0.216219E+02 0.278018E+00 0.000000E+00 -0.690083E-01 -0.144881E+00 -0.349434E-02 -0.608975E-01 -0.262795E-03 0.228590E+02 0.256881E+00 0.000000E+00 -0.691187E-01 -0.137634E+00 -0.789792E-03 -0.495922E-01 -0.254305E-03 0.241290E+02 0.237144E+00 0.000000E+00 -0.690518E-01 -0.130454E+00 0.122106E-02 -0.391036E-01 -0.244867E-03 0.254320E+02 0.218859E+00 0.000000E+00 -0.688155E-01 -0.123384E+00 0.264483E-02 -0.295376E-01 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-0.129762E-02 -0.232772E-04 0.941936E-03 0.589502E+03 0.164463E-02 0.911388E-02 0.114806E-02 0.890276E-02 -0.181193E-01 -0.658906E-03 -0.104325E-02 -0.847997E-05 0.979366E-03 0.590368E+03 0.226624E-02 0.957515E-02 0.762865E-03 0.881936E-02 -0.191567E-01 -0.530576E-03 -0.727948E-03 0.719257E-05 0.101560E-02 0.591198E+03 0.308572E-02 0.987656E-02 0.280465E-03 0.867184E-02 -0.202692E-01 -0.208529E-03 -0.411087E-03 0.253844E-04 0.105114E-02 0.591994E+03 0.411491E-02 0.997373E-02 -0.253118E-03 0.847074E-02 -0.214476E-01 0.352879E-03 -0.172823E-03 0.468261E-04 0.108553E-02 0.592755E+03 0.533969E-02 0.983139E-02 -0.772876E-03 0.824488E-02 -0.226531E-01 0.114907E-02 -0.925934E-04 0.731239E-04 0.111962E-02 0.593482E+03 0.671090E-02 0.943045E-02 -0.120697E-02 0.804321E-02 -0.238106E-01 0.209630E-02 -0.216375E-03 0.106817E-03 0.115370E-02 0.594173E+03 0.814057E-02 0.877386E-02 -0.149424E-02 0.792815E-02 -0.248028E-01 0.301824E-02 -0.524957E-03 0.147270E-03 0.118607E-02 0.594830E+03 0.950705E-02 0.788971E-02 -0.160143E-02 0.795849E-02 -0.254816E-01 0.367195E-02 -0.920955E-03 0.194347E-03 0.121752E-02 0.595451E+03 0.106706E-01 0.683015E-02 -0.153297E-02 0.816456E-02 -0.257090E-01 0.382505E-02 -0.124857E-02 0.248157E-03 0.124794E-02 0.596038E+03 0.114971E-01 0.566602E-02 -0.132864E-02 0.852459E-02 -0.253948E-01 0.335216E-02 -0.134596E-02 0.304753E-03 0.127520E-02 0.596589E+03 0.118848E-01 0.447789E-02 -0.104951E-02 0.895385E-02 -0.245332E-01 0.231869E-02 -0.111156E-02 0.360202E-03 0.130114E-02 0.597105E+03 0.117854E-01 0.334526E-02 -0.758271E-03 0.931588E-02 -0.232272E-01 0.100897E-02 -0.553397E-03 0.411786E-03 0.132837E-02 0.597586E+03 0.112144E-01 0.233582E-02 -0.502375E-03 0.945665E-02 -0.216631E-01 -0.138598E-03 0.204350E-03 0.451160E-03 0.135832E-02 0.598031E+03 0.102464E-01 0.149713E-02 -0.306059E-03 0.925247E-02 -0.200691E-01 -0.657195E-03 0.964784E-03 0.470388E-03 0.139881E-02 0.598441E+03 0.899783E-02 0.852171E-03 -0.172134E-03 0.865345E-02 -0.186794E-01 -0.192600E-03 0.153664E-02 0.463421E-03 0.145941E-02 0.598815E+03 0.760135E-02 0.399407E-03 -0.899042E-04 0.770228E-02 -0.176739E-01 0.137575E-02 0.181113E-02 0.421349E-03 0.154744E-02 0.599154E+03 0.618152E-02 0.116997E-03 -0.439747E-04 0.651663E-02 -0.171651E-01 0.393508E-02 0.179319E-02 0.337678E-03 0.167205E-02 0.599457E+03 0.483707E-02 -0.303581E-04 -0.203615E-04 0.524423E-02 -0.172313E-01 0.725840E-02 0.157115E-02 0.214218E-03 0.184308E-02 0.599725E+03 0.363364E-02 -0.835711E-04 -0.902192E-05 0.401600E-02 -0.179005E-01 0.110932E-01 0.125531E-02 0.531036E-04 0.205816E-02 0.599957E+03 0.260550E-02 -0.818000E-04 -0.384098E-05 0.291963E-02 -0.191489E-01 0.152155E-01 0.930718E-03 -0.137645E-03 0.229916E-02 0.600153E+03 0.176283E-02 -0.568100E-04 -0.154819E-05 0.199757E-02 -0.209140E-01 0.194814E-01 0.643275E-03 -0.342170E-03 0.257063E-02 0.600314E+03 0.110048E-02 -0.298443E-04 -0.562706E-06 0.125992E-02 -0.229982E-01 0.236773E-01 0.409056E-03 -0.542610E-03 0.287549E-02 0.600439E+03 0.605902E-03 -0.112293E-04 -0.166002E-06 0.700473E-03 -0.251028E-01 0.273764E-01 0.229425E-03 -0.726705E-03 0.307125E-02 0.600529E+03 0.264926E-03 -0.249063E-05 -0.316221E-07 0.308875E-03 -0.270208E-01 0.301088E-01 0.102049E-03 -0.869009E-03 0.289232E-02 0.600582E+03 0.655597E-04 -0.166474E-06 -0.194434E-08 0.768841E-04 -0.287765E-01 0.321445E-01 0.255655E-04 -0.959487E-03 0.257630E-02 0.600600E+03 -0.845631E-20 -0.507082E-19 -0.234453E-20 0.604230E-19 -0.307354E-01 0.331100E-01 0.203042E-08 -0.995968E-03 0.137866E-02 4.2.9 Budget for heat flux normalized by T_tau and u_tau* y+ Prod R_Prod P&T_Corr Diss M_Diff T_diff Residual 0.000000E+00 0.225273E-32 0.000000E+00 0.406553E-18 -0.250765E+00 0.250765E+00 -0.233630E-07 0.611824E-08 0.178663E-01 0.739940E-08 0.000000E+00 -0.312694E-04 -0.250840E+00 0.250870E+00 0.255088E-07 -0.927737E-06 0.714633E-01 0.475334E-06 0.000000E+00 -0.124981E-03 -0.251076E+00 0.251196E+00 0.873177E-06 -0.352605E-05 0.160784E+00 0.544809E-05 0.000000E+00 -0.281169E-03 -0.251510E+00 0.251767E+00 0.100939E-04 -0.788355E-05 0.285819E+00 0.308750E-04 0.000000E+00 -0.500929E-03 -0.252187E+00 0.252587E+00 0.566553E-04 -0.141289E-04 0.446552E+00 0.119045E-03 0.000000E+00 -0.787783E-03 -0.253147E+00 0.253577E+00 0.216129E-03 -0.220698E-04 0.642965E+00 0.359856E-03 0.000000E+00 -0.114923E-02 -0.254391E+00 0.254504E+00 0.643929E-03 -0.319772E-04 0.875034E+00 0.919257E-03 0.000000E+00 -0.159821E-02 -0.255857E+00 0.254879E+00 0.161341E-02 -0.439489E-04 0.114273E+01 0.207376E-02 0.000000E+00 -0.215407E-02 -0.257378E+00 0.253856E+00 0.354431E-02 -0.579778E-04 0.144603E+01 0.424671E-02 0.000000E+00 -0.284284E-02 -0.258654E+00 0.250178E+00 0.699717E-02 -0.748345E-04 0.178488E+01 0.803716E-02 0.000000E+00 -0.369646E-02 -0.259247E+00 0.242216E+00 0.125957E-01 -0.947729E-04 0.215926E+01 0.142262E-01 0.000000E+00 -0.475088E-02 -0.258631E+00 0.228189E+00 0.208494E-01 -0.118015E-03 0.256911E+01 0.237417E-01 0.000000E+00 -0.604301E-02 -0.256299E+00 0.206568E+00 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0.000000E+00 0.605612E-01 0.146095E+00 0.129944E-01 0.694504E-01 0.614855E-03 0.581353E+03 -0.307161E+00 0.000000E+00 0.593670E-01 0.152177E+00 0.180346E-01 0.782190E-01 0.636767E-03 0.582490E+03 -0.325774E+00 0.000000E+00 0.579919E-01 0.157956E+00 0.241773E-01 0.863062E-01 0.657554E-03 0.583593E+03 -0.343752E+00 0.000000E+00 0.564215E-01 0.163321E+00 0.315720E-01 0.931129E-01 0.676028E-03 0.584663E+03 -0.360369E+00 0.000000E+00 0.546404E-01 0.168166E+00 0.403048E-01 0.979489E-01 0.691607E-03 0.585699E+03 -0.374751E+00 0.000000E+00 0.526345E-01 0.172400E+00 0.503607E-01 0.100060E+00 0.704459E-03 0.586701E+03 -0.385888E+00 0.000000E+00 0.503934E-01 0.175948E+00 0.615895E-01 0.986708E-01 0.713781E-03 0.587669E+03 -0.392688E+00 0.000000E+00 0.479138E-01 0.178769E+00 0.736558E-01 0.930678E-01 0.718507E-03 0.588603E+03 -0.394055E+00 0.000000E+00 0.452012E-01 0.180875E+00 0.859761E-01 0.827213E-01 0.719066E-03 0.589502E+03 -0.389013E+00 0.000000E+00 0.422719E-01 0.182361E+00 0.976527E-01 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-0.783290E-01 0.000000E+00 0.112519E-01 0.229598E+00 -0.918042E-01 -0.704000E-01 0.316342E-03 0.597105E+03 -0.544874E-01 0.000000E+00 0.915296E-02 0.237594E+00 -0.134240E+00 -0.577548E-01 0.264714E-03 0.597586E+03 -0.361867E-01 0.000000E+00 0.735475E-02 0.243955E+00 -0.170931E+00 -0.439738E-01 0.217990E-03 0.598031E+03 -0.228755E-01 0.000000E+00 0.584335E-02 0.248314E+00 -0.200046E+00 -0.310597E-01 0.175819E-03 0.598441E+03 -0.137100E-01 0.000000E+00 0.459379E-02 0.250676E+00 -0.221100E+00 -0.203206E-01 0.139725E-03 0.598815E+03 -0.774685E-02 0.000000E+00 0.357382E-02 0.251357E+00 -0.234794E+00 -0.122808E-01 0.109664E-03 0.599154E+03 -0.409389E-02 0.000000E+00 0.274806E-02 0.250844E+00 -0.242591E+00 -0.682341E-02 0.842545E-04 0.599457E+03 -0.199936E-02 0.000000E+00 0.208188E-02 0.249651E+00 -0.246214E+00 -0.345652E-02 0.636096E-04 0.599725E+03 -0.886360E-03 0.000000E+00 0.154440E-02 0.248206E+00 -0.247243E+00 -0.157343E-02 0.470554E-04 0.599957E+03 -0.347004E-03 0.000000E+00 0.111040E-02 0.246803E+00 -0.246905E+00 -0.627988E-03 0.333223E-04 0.600153E+03 -0.114800E-03 0.000000E+00 0.761092E-03 0.245608E+00 -0.246021E+00 -0.210750E-03 0.225545E-04 0.600314E+03 -0.297753E-04 0.000000E+00 0.483932E-03 0.244685E+00 -0.245069E+00 -0.552669E-04 0.142337E-04 0.600439E+03 -0.525421E-05 0.000000E+00 0.271622E-03 0.244032E+00 -0.244280E+00 -0.982533E-05 0.777279E-05 0.600529E+03 -0.458427E-06 0.000000E+00 0.120735E-03 0.243613E+00 -0.243729E+00 -0.869310E-06 0.343289E-05 0.600582E+03 -0.713630E-08 0.000000E+00 0.302073E-04 0.243385E+00 -0.243414E+00 -0.704791E-08 0.928254E-06 0.600600E+03 0.237707E-32 0.000000E+00 -0.413378E-18 0.243313E+00 -0.243313E+00 -0.128661E-07 -0.174045E-07 4.2.10 Budget for heat flux normalized by T_tau and u_tau* y+ Prod R_Prod P&T_Corr P_Diff Diss M_diff T_Diff Residual 0.000000E+00 0.325276E-31 0.240590E-32 0.629498E-01 -0.629499E-01 0.319446E-20 0.700134E-10 -0.395808E-09 -0.970442E-07 0.178663E-01 0.910092E-11 0.151193E-07 0.629717E-01 -0.629949E-01 -0.552174E-04 0.124071E-03 0.215042E-09 0.456626E-04 0.714633E-01 0.229254E-08 0.241749E-06 0.630199E-01 -0.631139E-01 -0.222030E-03 0.499702E-03 0.444436E-08 0.183843E-03 0.160784E+00 0.571999E-07 0.122254E-05 0.630476E-01 -0.632635E-01 -0.504312E-03 0.113747E-02 0.115068E-06 0.418652E-03 0.285819E+00 0.550368E-06 0.385818E-05 0.629890E-01 -0.633840E-01 -0.909483E-03 0.205532E-02 0.109268E-05 0.756367E-03 0.446552E+00 0.312708E-05 0.940210E-05 0.627704E-01 -0.634136E-01 -0.144890E-02 0.327675E-02 0.611953E-05 0.120338E-02 0.642965E+00 0.126859E-04 0.194530E-04 0.623233E-01 -0.633017E-01 -0.213668E-02 0.482461E-02 0.243742E-04 0.176597E-02 0.875034E+00 0.406663E-04 0.359431E-04 0.615880E-01 -0.630193E-01 -0.298607E-02 0.670921E-02 0.763885E-04 0.244488E-02 0.114273E+01 0.109445E-03 0.611166E-04 0.605090E-01 -0.625570E-01 -0.400324E-02 0.891129E-02 0.199919E-03 0.323052E-02 0.144603E+01 0.257163E-03 0.974890E-04 0.590222E-01 -0.619128E-01 -0.517931E-02 0.113628E-01 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-0.120193E-01 0.166747E-01 0.117026E-01 0.717537E-02 0.596038E+03 0.101764E-01 0.873646E-03 0.237603E-01 -0.438842E-01 -0.120455E-01 0.187095E-01 0.996901E-02 0.755920E-02 0.596589E+03 0.708681E-02 0.696054E-03 0.324320E-01 -0.486539E-01 -0.117103E-01 0.198752E-01 0.797375E-02 0.769960E-02 0.597105E+03 0.471744E-02 0.540778E-03 0.394911E-01 -0.522284E-01 -0.110281E-01 0.200860E-01 0.597383E-02 0.755261E-02 0.597586E+03 0.298588E-02 0.409061E-03 0.450832E-01 -0.548624E-01 -0.100513E-01 0.193713E-01 0.417622E-02 0.711195E-02 0.598031E+03 0.178531E-02 0.300636E-03 0.494275E-01 -0.567462E-01 -0.886262E-02 0.178697E-01 0.271076E-02 0.648501E-02 0.598441E+03 0.100013E-02 0.214039E-03 0.527667E-01 -0.581372E-01 -0.756015E-02 0.157982E-01 0.162326E-02 0.570492E-02 0.598815E+03 0.519363E-03 0.146995E-03 0.553171E-01 -0.592183E-01 -0.624115E-02 0.134080E-01 0.889208E-03 0.482114E-02 0.599154E+03 0.246518E-03 0.967872E-04 0.572551E-01 -0.600415E-01 -0.498710E-02 0.109381E-01 0.440397E-03 0.394829E-02 0.599457E+03 0.104930E-03 0.605650E-04 0.587115E-01 -0.606789E-01 -0.385501E-02 0.857962E-02 0.193924E-03 0.311657E-02 0.599725E+03 0.389942E-04 0.355592E-04 0.597685E-01 -0.611529E-01 -0.287562E-02 0.646016E-02 0.740535E-04 0.234878E-02 0.599957E+03 0.121660E-04 0.192168E-04 0.604884E-01 -0.614310E-01 -0.205767E-02 0.464580E-02 0.236236E-04 0.170057E-02 0.600153E+03 0.299929E-05 0.927618E-05 0.609287E-01 -0.615443E-01 -0.139533E-02 0.315543E-02 0.592596E-05 0.116270E-02 0.600314E+03 0.527934E-06 0.380253E-05 0.611437E-01 -0.615272E-01 -0.875856E-03 0.197927E-02 0.106123E-05 0.725293E-03 0.600439E+03 0.548732E-07 0.120392E-05 0.612017E-01 -0.614097E-01 -0.485667E-03 0.109541E-02 0.108660E-06 0.403101E-03 0.600529E+03 0.219943E-08 0.237928E-06 0.611774E-01 -0.612665E-01 -0.213822E-03 0.481229E-03 0.709056E-08 0.178589E-03 0.600582E+03 0.873165E-11 0.148752E-07 0.611304E-01 -0.611535E-01 -0.531766E-04 0.119485E-03 -0.257574E-08 0.431979E-04 0.600600E+03 0.312206E-31 0.661161E-28 0.611074E-01 -0.611076E-01 0.622338E-20 0.219812E-09 0.518742E-08 -0.170883E-06 4.2.11 Budget for heat flux normalized by T_tau and u_tau* y+ Prod R_Prod P&T_Corr Diss M_Diff T_diff Residual 0.000000E+00 -0.540468E-33 0.209132E-34 0.186657E-18 -0.137194E-01 0.137194E-01 0.722801E-08 -0.115014E-07 0.178663E-01 0.287378E-09 -0.304147E-10 0.226941E-05 -0.137138E-01 0.137115E-01 -0.330773E-08 -0.654302E-07 0.714633E-01 0.184600E-07 -0.195291E-08 0.909117E-05 -0.136977E-01 0.136884E-01 0.234194E-07 -0.151299E-06 0.160784E+00 0.211539E-06 -0.223693E-07 0.205049E-04 -0.136723E-01 0.136510E-01 0.224955E-06 -0.396170E-06 0.285819E+00 0.119824E-05 -0.126692E-06 0.365490E-04 -0.136393E-01 0.135996E-01 0.130974E-05 -0.774478E-06 0.446552E+00 0.461587E-05 -0.488325E-06 0.572895E-04 -0.136005E-01 0.135330E-01 0.507367E-05 -0.103552E-05 0.642965E+00 0.139333E-04 -0.147642E-05 0.828355E-04 -0.135569E-01 0.134445E-01 0.154500E-04 -0.158902E-05 0.875034E+00 0.355233E-04 -0.377539E-05 0.113366E-03 -0.135067E-01 0.133198E-01 0.395618E-04 -0.225037E-05 0.114273E+01 0.799442E-04 -0.853517E-05 0.149396E-03 -0.134447E-01 0.131323E-01 0.889634E-04 -0.265230E-05 0.144603E+01 0.163271E-03 -0.175418E-04 0.191917E-03 -0.133599E-01 0.128389E-01 0.179946E-03 -0.339795E-05 0.178488E+01 0.308149E-03 -0.333818E-04 0.242584E-03 -0.132347E-01 0.123809E-01 0.332246E-03 -0.420990E-05 0.215926E+01 0.544044E-03 -0.595553E-04 0.304300E-03 -0.130464E-01 0.116887E-01 0.564341E-03 -0.457338E-05 0.256911E+01 0.906026E-03 -0.100480E-03 0.381310E-03 -0.127707E-01 0.106933E-01 0.885265E-03 -0.523858E-05 0.301439E+01 0.143148E-02 -0.161333E-03 0.479218E-03 -0.123890E-01 0.934977E-02 0.128402E-02 -0.582104E-05 0.349504E+01 0.215450E-02 -0.247689E-03 0.605416E-03 -0.118955E-01 0.765618E-02 0.172128E-02 -0.577849E-05 0.401101E+01 0.309851E-02 -0.364990E-03 0.768357E-03 -0.113023E-01 0.566624E-02 0.212834E-02 -0.584716E-05 0.456223E+01 0.426850E-02 -0.517891E-03 0.976591E-03 -0.106399E-01 0.349022E-02 0.241676E-02 -0.568710E-05 0.514865E+01 0.564483E-02 -0.709612E-03 0.123852E-02 -0.995148E-02 0.127696E-02 0.249594E-02 -0.483115E-05 0.577018E+01 0.718084E-02 -0.941408E-03 0.156070E-02 -0.928492E-02 -0.813038E-03 0.229378E-02 -0.405017E-05 0.642676E+01 0.880540E-02 -0.121228E-02 0.194638E-02 -0.868341E-02 -0.263302E-02 0.177377E-02 -0.314252E-05 0.711831E+01 0.104306E-01 -0.151894E-02 0.239571E-02 -0.817783E-02 -0.407573E-02 0.944317E-03 -0.184532E-05 0.784474E+01 0.119631E-01 -0.185612E-02 0.290444E-02 -0.778252E-02 -0.508831E-02 -0.141461E-03 -0.898567E-06 0.860598E+01 0.133160E-01 -0.221702E-02 0.346363E-02 -0.749512E-02 -0.567271E-02 -0.139504E-02 -0.265084E-06 0.940192E+01 0.144199E-01 -0.259396E-02 0.406154E-02 -0.730009E-02 -0.587724E-02 -0.270974E-02 0.375606E-06 0.102325E+02 0.152289E-01 -0.297899E-02 0.468382E-02 -0.717453E-02 -0.577878E-02 -0.397996E-02 0.495733E-06 0.110975E+02 0.157233E-01 -0.336451E-02 0.531480E-02 -0.709397E-02 -0.546145E-02 -0.511798E-02 0.233593E-06 0.119970E+02 0.159069E-01 -0.374370E-02 0.594029E-02 -0.703612E-02 -0.500362E-02 -0.606345E-02 0.267730E-06 0.129308E+02 0.158021E-01 -0.411081E-02 0.654783E-02 -0.698252E-02 -0.447172E-02 -0.678452E-02 0.378274E-06 0.138988E+02 0.154442E-01 -0.446132E-02 0.712734E-02 -0.691922E-02 -0.391671E-02 -0.727363E-02 0.626395E-06 0.149009E+02 0.148745E-01 -0.479196E-02 0.767232E-02 -0.683774E-02 -0.337324E-02 -0.754198E-02 0.185433E-05 0.159369E+02 0.141357E-01 -0.510062E-02 0.817840E-02 -0.673487E-02 -0.286175E-02 -0.761304E-02 0.380407E-05 0.170067E+02 0.132685E-01 -0.538621E-02 0.864204E-02 -0.661026E-02 -0.239228E-02 -0.751535E-02 0.639380E-05 0.181103E+02 0.123095E-01 -0.564848E-02 0.906081E-02 -0.646406E-02 -0.197012E-02 -0.727716E-02 0.104602E-04 0.192475E+02 0.112909E-01 -0.588784E-02 0.943275E-02 -0.629772E-02 -0.159459E-02 -0.692770E-02 0.158176E-04 0.204180E+02 0.102403E-01 -0.610522E-02 0.975710E-02 -0.611412E-02 -0.125744E-02 -0.649876E-02 0.218109E-04 0.216219E+02 0.917974E-02 -0.630187E-02 0.100352E-01 -0.591412E-02 -0.952325E-03 -0.601793E-02 0.286958E-04 0.228590E+02 0.812657E-02 -0.647925E-02 0.102692E-01 -0.569646E-02 -0.682875E-03 -0.550120E-02 0.359874E-04 0.241290E+02 0.709378E-02 -0.663891E-02 0.104616E-01 -0.546251E-02 -0.452753E-03 -0.495887E-02 0.422981E-04 0.254320E+02 0.609196E-02 -0.678240E-02 0.106156E-01 -0.521664E-02 -0.257387E-03 -0.440334E-02 0.477699E-04 0.267676E+02 0.513078E-02 -0.691116E-02 0.107355E-01 -0.496199E-02 -0.944740E-04 -0.384593E-02 0.527097E-04 0.281358E+02 0.421901E-02 -0.702653E-02 0.108265E-01 -0.469977E-02 0.300818E-04 -0.329316E-02 0.561510E-04 0.295363E+02 0.336369E-02 -0.712977E-02 0.108940E-01 -0.443044E-02 0.110067E-03 -0.274844E-02 0.591310E-04 0.309691E+02 0.257001E-02 -0.722210E-02 0.109420E-01 -0.415548E-02 0.145151E-03 -0.221664E-02 0.629794E-04 0.324339E+02 0.184230E-02 -0.730465E-02 0.109724E-01 -0.388203E-02 0.148966E-03 -0.171009E-02 0.668646E-04 0.339306E+02 0.118469E-02 -0.737848E-02 0.109850E-01 -0.362051E-02 0.147882E-03 -0.124746E-02 0.711600E-04 0.354590E+02 0.599839E-03 -0.744454E-02 0.109797E-01 -0.337421E-02 0.157407E-03 -0.841247E-03 0.769098E-04 0.370190E+02 0.873102E-04 -0.750372E-02 0.109576E-01 -0.314053E-02 0.174008E-03 -0.492074E-03 0.825520E-04 0.386102E+02 -0.356408E-03 -0.755682E-02 0.109225E-01 -0.291583E-02 0.185280E-03 -0.191578E-03 0.871630E-04 0.402326E+02 -0.737348E-03 -0.760456E-02 0.108791E-01 -0.269847E-02 0.184145E-03 0.697356E-04 0.925594E-04 0.418859E+02 -0.106420E-02 -0.764761E-02 0.108304E-01 -0.249148E-02 0.173233E-03 0.297133E-03 0.974741E-04 0.435700E+02 -0.134706E-02 -0.768653E-02 0.107772E-01 -0.229520E-02 0.149448E-03 0.503877E-03 0.101788E-03 0.452846E+02 -0.159439E-02 -0.772179E-02 0.107186E-01 -0.211029E-02 0.120229E-03 0.694621E-03 0.106963E-03 0.470295E+02 -0.181138E-02 -0.775382E-02 0.106544E-01 -0.193786E-02 0.103476E-03 0.856212E-03 0.110995E-03 0.488046E+02 -0.200153E-02 -0.778298E-02 0.105867E-01 -0.177495E-02 0.104426E-03 0.981810E-03 0.113465E-03 0.506097E+02 -0.216949E-02 -0.780961E-02 0.105192E-01 -0.162016E-02 0.121407E-03 0.107413E-02 0.115510E-03 0.524444E+02 -0.232115E-02 -0.783399E-02 0.104557E-01 -0.147374E-02 0.148501E-03 0.114113E-02 0.116448E-03 0.543086E+02 -0.245942E-02 -0.785631E-02 0.103975E-01 -0.132899E-02 0.158417E-03 0.120535E-02 0.116536E-03 0.562021E+02 -0.258070E-02 -0.787669E-02 0.103430E-01 -0.118254E-02 0.133206E-03 0.128070E-02 0.116968E-03 0.581247E+02 -0.267729E-02 -0.789527E-02 0.102891E-01 -0.104252E-02 0.893561E-04 0.135435E-02 0.117671E-03 0.600760E+02 -0.274267E-02 -0.791234E-02 0.102333E-01 -0.916111E-03 0.480728E-04 0.140866E-02 0.118916E-03 0.620560E+02 -0.277453E-02 -0.792825E-02 0.101755E-01 -0.804562E-03 0.162324E-04 0.143605E-02 0.120442E-03 0.640643E+02 -0.277619E-02 -0.794320E-02 0.101169E-01 -0.703295E-03 -0.933207E-05 0.143612E-02 0.121054E-03 0.661007E+02 -0.275569E-02 -0.795726E-02 0.100595E-01 -0.609292E-03 -0.220084E-04 0.140513E-02 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0.368509E-05 -0.134875E-01 0.134837E-01 0.141566E-07 -0.131003E-06 0.600582E+03 0.290497E-09 -0.292906E-10 0.917722E-06 -0.134940E-01 0.134929E-01 0.647932E-08 -0.795856E-07 0.600600E+03 -0.473442E-33 0.416522E-34 0.291462E-18 -0.134963E-01 0.134964E-01 -0.123288E-07 0.120324E-07 4.2.12 Budget for temperature variance k_t(=t+**2/2) normalized by T_tau and u_tau* y+ Prod Diss M_Diff T_Diff Residual 0.000000E+00 -0.181648E-32 -0.130963E+00 0.130957E+00 -0.431439E-07 -0.619003E-05 0.178663E-01 0.264176E-08 -0.130964E+00 0.130963E+00 0.278362E-07 -0.350624E-06 0.714633E-01 0.169626E-06 -0.130969E+00 0.130969E+00 0.378143E-06 -0.216222E-07 0.160784E+00 0.194294E-05 -0.130991E+00 0.130984E+00 0.455925E-05 -0.156223E-06 0.285819E+00 0.110041E-04 -0.131041E+00 0.131005E+00 0.253561E-04 -0.144045E-07 0.446552E+00 0.424124E-04 -0.131126E+00 0.130987E+00 0.962384E-04 -0.667544E-07 0.642965E+00 0.128217E-03 -0.131239E+00 0.130825E+00 0.284820E-03 -0.159063E-06 0.875034E+00 0.327776E-03 -0.131350E+00 0.130313E+00 0.709072E-03 -0.142246E-06 0.114273E+01 0.740601E-03 -0.131407E+00 0.129118E+00 0.154847E-02 -0.340839E-06 0.144603E+01 0.152050E-02 -0.131326E+00 0.126762E+00 0.304335E-02 -0.764391E-06 0.178488E+01 0.288808E-02 -0.131002E+00 0.122646E+00 0.546649E-02 -0.142784E-05 0.215926E+01 0.513657E-02 -0.130321E+00 0.116122E+00 0.905937E-02 -0.253021E-05 0.256911E+01 0.862425E-02 -0.129185E+00 0.106623E+00 0.139331E-01 -0.448542E-05 0.301439E+01 0.137468E-01 -0.127553E+00 0.938375E-01 0.199619E-01 -0.709465E-05 0.349504E+01 0.208863E-01 -0.125466E+00 0.778599E-01 0.267094E-01 -0.108742E-04 0.401101E+01 0.303399E-01 -0.123063E+00 0.592737E-01 0.334334E-01 -0.159674E-04 0.456223E+01 0.422401E-01 -0.120565E+00 0.391142E-01 0.391880E-01 -0.224070E-04 0.514865E+01 0.564861E-01 -0.118237E+00 0.187146E-01 0.430065E-01 -0.301753E-04 0.577018E+01 0.727060E-01 -0.116332E+00 -0.526040E-03 0.441124E-01 -0.394818E-04 0.642676E+01 0.902678E-01 -0.115031E+00 -0.173810E-01 0.420946E-01 -0.497732E-04 0.711831E+01 0.108339E+00 -0.114415E+00 -0.309792E-01 0.369940E-01 -0.609638E-04 0.784474E+01 0.125989E+00 -0.114450E+00 -0.408957E-01 0.292835E-01 -0.727777E-04 0.860598E+01 0.142304E+00 -0.115006E+00 -0.471384E-01 0.197551E-01 -0.850475E-04 0.940192E+01 0.156500E+00 -0.115895E+00 -0.500604E-01 0.935766E-02 -0.971980E-04 0.102325E+02 0.168001E+00 -0.116905E+00 -0.502346E-01 -0.971241E-03 -0.109598E-03 0.110975E+02 0.176478E+00 -0.117840E+00 -0.483225E-01 -0.104384E-01 -0.122137E-03 0.119970E+02 0.181851E+00 -0.118541E+00 -0.449711E-01 -0.184732E-01 -0.134394E-03 0.129308E+02 0.184251E+00 -0.118898E+00 -0.407503E-01 -0.247485E-01 -0.146463E-03 0.138988E+02 0.183970E+00 -0.118849E+00 -0.361182E-01 -0.291611E-01 -0.158921E-03 0.149009E+02 0.181401E+00 -0.118374E+00 -0.314118E-01 -0.317857E-01 -0.170694E-03 0.159369E+02 0.176984E+00 -0.117486E+00 -0.268606E-01 -0.328207E-01 -0.182588E-03 0.170067E+02 0.171162E+00 -0.116218E+00 -0.226078E-01 -0.325321E-01 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0.339306E+02 0.841211E-01 -0.836840E-01 0.679739E-04 -0.911458E-03 -0.406343E-03 0.354590E+02 0.798462E-01 -0.810927E-01 0.354626E-03 0.471924E-03 -0.419967E-03 0.370190E+02 0.759433E-01 -0.785853E-01 0.591459E-03 0.161914E-02 -0.431361E-03 0.386102E+02 0.723833E-01 -0.761702E-01 0.795373E-03 0.255114E-02 -0.440377E-03 0.402326E+02 0.691359E-01 -0.738442E-01 0.955791E-03 0.330570E-02 -0.446847E-03 0.418859E+02 0.661706E-01 -0.716002E-01 0.105152E-02 0.392766E-02 -0.450484E-03 0.435700E+02 0.634592E-01 -0.694444E-01 0.109864E-02 0.443396E-02 -0.452574E-03 0.452846E+02 0.609781E-01 -0.673851E-01 0.112417E-02 0.483108E-02 -0.451710E-03 0.470295E+02 0.587052E-01 -0.654167E-01 0.112267E-02 0.514028E-02 -0.448591E-03 0.488046E+02 0.566192E-01 -0.635261E-01 0.107922E-02 0.538316E-02 -0.444504E-03 0.506097E+02 0.547016E-01 -0.617161E-01 0.102028E-02 0.555458E-02 -0.439645E-03 0.524444E+02 0.529358E-01 -0.599941E-01 0.968815E-03 0.565498E-02 -0.434581E-03 0.543086E+02 0.513104E-01 -0.583580E-01 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0.167517E-02 0.377809E-04 -0.439114E-06 0.269481E-02 -0.477561E-02 -0.800387E-05 0.649242E-03 0.272946E-03 0.600153E+03 0.113608E-02 0.131458E-04 -0.981193E-07 0.189125E-02 -0.409529E-02 0.480738E-05 0.454139E-03 -0.595967E-03 0.600314E+03 0.713156E-03 0.355402E-05 -0.163033E-07 0.121969E-02 -0.369006E-02 0.173129E-04 0.291243E-03 -0.144512E-02 0.600439E+03 0.395454E-03 0.647820E-06 -0.156538E-08 0.690257E-03 -0.331824E-02 0.264784E-04 0.164079E-03 -0.204132E-02 0.600529E+03 0.174105E-03 0.577898E-07 -0.376361E-10 0.308250E-03 -0.367205E-02 0.364725E-04 0.730528E-04 -0.308012E-02 0.600582E+03 0.432991E-04 0.900103E-09 -0.479416E-11 0.773067E-04 -0.513765E-02 0.510663E-04 0.183133E-04 -0.494767E-02 0.600600E+03 -0.506740E-20 0.146745E-18 -0.146807E-22 -0.267466E-18 -0.141028E-01 0.592541E-04 -0.233814E-07 -0.140436E-01 4.3 One-dimensional Dnergy Spectra 4.3.1 Streamwise Power Spectra (a) y/delta=0.97 k_x E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.456350E+00 0.773314E-03 0.258915E-01 0.193161E-03 0.500000E+00 0.448602E+00 0.155461E-02 0.365098E-01 0.184220E-03 0.100000E+01 0.335511E+00 0.152163E-02 0.301751E-01 0.128805E-03 0.150000E+01 0.249138E+00 0.142220E-02 0.239325E-01 0.925013E-04 0.200000E+01 0.208508E+00 0.137514E-02 0.232677E-01 0.774994E-04 0.250000E+01 0.164716E+00 0.130565E-02 0.205649E-01 0.625509E-04 0.300000E+01 0.135425E+00 0.122241E-02 0.185645E-01 0.525879E-04 0.350000E+01 0.115231E+00 0.117820E-02 0.174040E-01 0.449591E-04 0.400000E+01 0.100305E+00 0.113038E-02 0.163674E-01 0.399926E-04 0.450000E+01 0.829999E-01 0.105154E-02 0.147956E-01 0.339600E-04 0.500000E+01 0.712711E-01 0.102384E-02 0.138576E-01 0.299069E-04 0.550000E+01 0.617799E-01 0.984895E-03 0.130051E-01 0.264852E-04 0.600000E+01 0.546166E-01 0.927382E-03 0.118532E-01 0.235987E-04 0.650000E+01 0.470702E-01 0.873847E-03 0.110378E-01 0.208406E-04 0.700000E+01 0.414909E-01 0.841672E-03 0.101504E-01 0.187574E-04 0.750000E+01 0.369714E-01 0.806092E-03 0.964286E-02 0.171325E-04 0.800000E+01 0.316472E-01 0.753484E-03 0.862239E-02 0.149884E-04 0.850000E+01 0.279572E-01 0.726560E-03 0.810859E-02 0.135678E-04 0.900000E+01 0.245217E-01 0.684531E-03 0.750183E-02 0.121902E-04 0.950000E+01 0.217752E-01 0.645940E-03 0.687528E-02 0.110793E-04 0.100000E+02 0.192236E-01 0.615965E-03 0.646872E-02 0.992618E-05 0.105000E+02 0.172413E-01 0.585055E-03 0.592509E-02 0.908533E-05 0.110000E+02 0.154036E-01 0.555988E-03 0.555470E-02 0.834083E-05 0.115000E+02 0.137301E-01 0.529981E-03 0.516266E-02 0.765612E-05 0.120000E+02 0.122523E-01 0.504265E-03 0.471012E-02 0.690135E-05 0.125000E+02 0.108328E-01 0.481951E-03 0.430683E-02 0.627741E-05 0.130000E+02 0.978342E-02 0.456816E-03 0.409864E-02 0.579827E-05 0.135000E+02 0.868120E-02 0.431491E-03 0.376116E-02 0.525680E-05 0.140000E+02 0.797105E-02 0.415185E-03 0.352345E-02 0.489416E-05 0.145000E+02 0.722064E-02 0.391482E-03 0.325222E-02 0.452951E-05 0.150000E+02 0.643266E-02 0.369875E-03 0.299614E-02 0.407362E-05 0.155000E+02 0.587414E-02 0.351624E-03 0.280068E-02 0.383784E-05 0.160000E+02 0.529291E-02 0.335767E-03 0.256519E-02 0.350411E-05 0.165000E+02 0.478418E-02 0.317041E-03 0.240346E-02 0.322698E-05 0.170000E+02 0.431702E-02 0.299109E-03 0.221143E-02 0.297031E-05 0.175000E+02 0.395590E-02 0.285686E-03 0.203777E-02 0.276104E-05 0.180000E+02 0.358079E-02 0.269723E-03 0.189450E-02 0.254491E-05 0.185000E+02 0.324492E-02 0.258085E-03 0.176619E-02 0.235006E-05 0.190000E+02 0.297562E-02 0.244729E-03 0.163206E-02 0.218346E-05 0.195000E+02 0.272878E-02 0.231170E-03 0.151043E-02 0.204068E-05 0.200000E+02 0.248044E-02 0.219006E-03 0.140698E-02 0.186815E-05 0.205000E+02 0.226787E-02 0.209399E-03 0.129799E-02 0.172638E-05 0.210000E+02 0.205444E-02 0.198525E-03 0.119104E-02 0.158802E-05 0.215000E+02 0.189905E-02 0.189411E-03 0.111778E-02 0.150330E-05 0.220000E+02 0.174544E-02 0.177099E-03 0.103437E-02 0.138494E-05 0.225000E+02 0.161143E-02 0.171598E-03 0.974454E-03 0.130258E-05 0.230000E+02 0.146872E-02 0.162361E-03 0.901919E-03 0.120533E-05 0.235000E+02 0.135294E-02 0.153180E-03 0.832478E-03 0.112652E-05 0.240000E+02 0.126069E-02 0.147774E-03 0.792432E-03 0.105963E-05 0.245000E+02 0.114822E-02 0.137668E-03 0.723431E-03 0.981849E-06 0.250000E+02 0.106164E-02 0.132110E-03 0.677928E-03 0.914934E-06 0.255000E+02 0.978600E-03 0.125338E-03 0.635103E-03 0.859191E-06 0.260000E+02 0.904046E-03 0.119332E-03 0.589324E-03 0.802170E-06 0.265000E+02 0.836944E-03 0.113465E-03 0.544950E-03 0.744423E-06 0.270000E+02 0.778252E-03 0.108614E-03 0.514355E-03 0.704616E-06 0.275000E+02 0.714401E-03 0.102633E-03 0.479086E-03 0.659715E-06 0.280000E+02 0.668297E-03 0.972609E-04 0.446579E-03 0.616226E-06 0.285000E+02 0.616343E-03 0.924353E-04 0.414632E-03 0.572131E-06 0.290000E+02 0.572571E-03 0.885483E-04 0.388242E-03 0.540135E-06 0.295000E+02 0.533732E-03 0.837752E-04 0.363429E-03 0.504683E-06 0.300000E+02 0.495164E-03 0.800462E-04 0.340330E-03 0.475907E-06 0.305000E+02 0.460057E-03 0.763427E-04 0.317182E-03 0.447688E-06 0.310000E+02 0.429227E-03 0.723223E-04 0.296849E-03 0.420749E-06 0.315000E+02 0.401220E-03 0.684587E-04 0.279157E-03 0.394925E-06 0.320000E+02 0.375145E-03 0.653765E-04 0.260435E-03 0.374062E-06 0.325000E+02 0.349411E-03 0.628847E-04 0.247465E-03 0.350369E-06 0.330000E+02 0.323602E-03 0.598485E-04 0.230433E-03 0.327254E-06 0.335000E+02 0.306368E-03 0.570257E-04 0.217276E-03 0.312345E-06 0.340000E+02 0.284226E-03 0.544010E-04 0.204468E-03 0.293917E-06 0.345000E+02 0.265123E-03 0.523915E-04 0.193067E-03 0.276908E-06 0.350000E+02 0.249673E-03 0.497161E-04 0.180486E-03 0.262919E-06 0.355000E+02 0.235343E-03 0.477661E-04 0.170576E-03 0.247624E-06 0.360000E+02 0.220310E-03 0.454891E-04 0.160695E-03 0.235122E-06 0.365000E+02 0.205946E-03 0.435265E-04 0.150619E-03 0.221202E-06 0.370000E+02 0.193635E-03 0.416430E-04 0.142322E-03 0.211132E-06 0.375000E+02 0.182406E-03 0.399319E-04 0.134472E-03 0.199235E-06 0.380000E+02 0.171387E-03 0.380883E-04 0.126509E-03 0.188810E-06 0.385000E+02 0.161310E-03 0.365660E-04 0.120390E-03 0.179428E-06 0.390000E+02 0.151908E-03 0.348551E-04 0.112878E-03 0.169533E-06 0.395000E+02 0.142536E-03 0.335669E-04 0.106406E-03 0.161748E-06 0.400000E+02 0.134703E-03 0.320936E-04 0.100535E-03 0.154426E-06 0.405000E+02 0.127710E-03 0.309182E-04 0.961361E-04 0.147463E-06 0.410000E+02 0.120115E-03 0.294681E-04 0.907948E-04 0.139669E-06 0.415000E+02 0.114313E-03 0.282097E-04 0.862551E-04 0.133572E-06 0.420000E+02 0.107885E-03 0.271512E-04 0.817286E-04 0.127021E-06 0.425000E+02 0.102070E-03 0.259270E-04 0.773308E-04 0.121527E-06 0.430000E+02 0.974089E-04 0.249761E-04 0.740495E-04 0.116032E-06 0.435000E+02 0.921019E-04 0.240186E-04 0.702148E-04 0.111566E-06 0.440000E+02 0.878196E-04 0.230463E-04 0.669838E-04 0.106423E-06 0.445000E+02 0.830435E-04 0.221886E-04 0.633598E-04 0.101791E-06 0.450000E+02 0.790403E-04 0.213768E-04 0.606711E-04 0.976991E-07 0.455000E+02 0.750671E-04 0.205486E-04 0.577363E-04 0.936588E-07 0.460000E+02 0.716732E-04 0.198192E-04 0.552528E-04 0.899284E-07 0.465000E+02 0.684928E-04 0.189729E-04 0.525046E-04 0.858619E-07 0.470000E+02 0.650484E-04 0.183549E-04 0.505219E-04 0.821714E-07 0.475000E+02 0.622356E-04 0.176581E-04 0.480324E-04 0.797270E-07 0.480000E+02 0.592795E-04 0.170214E-04 0.460647E-04 0.761379E-07 0.485000E+02 0.566997E-04 0.164120E-04 0.440617E-04 0.732946E-07 0.490000E+02 0.539119E-04 0.157205E-04 0.421234E-04 0.706283E-07 0.495000E+02 0.517854E-04 0.151689E-04 0.405194E-04 0.683430E-07 0.500000E+02 0.497234E-04 0.147404E-04 0.389310E-04 0.657289E-07 0.505000E+02 0.475059E-04 0.141244E-04 0.372444E-04 0.637981E-07 0.510000E+02 0.452688E-04 0.136315E-04 0.356628E-04 0.613768E-07 0.515000E+02 0.436016E-04 0.131570E-04 0.341822E-04 0.594542E-07 0.520000E+02 0.417649E-04 0.126576E-04 0.329379E-04 0.574703E-07 0.525000E+02 0.401285E-04 0.121723E-04 0.315699E-04 0.559205E-07 0.530000E+02 0.387615E-04 0.117926E-04 0.304669E-04 0.540780E-07 0.535000E+02 0.371616E-04 0.113200E-04 0.292639E-04 0.520701E-07 0.540000E+02 0.358544E-04 0.109100E-04 0.280805E-04 0.507055E-07 0.545000E+02 0.344471E-04 0.105053E-04 0.270579E-04 0.491927E-07 0.550000E+02 0.331393E-04 0.101751E-04 0.261696E-04 0.480409E-07 0.555000E+02 0.320289E-04 0.982429E-05 0.251616E-04 0.466675E-07 0.560000E+02 0.307499E-04 0.944547E-05 0.240849E-04 0.453889E-07 0.565000E+02 0.297588E-04 0.906790E-05 0.233537E-04 0.440813E-07 0.570000E+02 0.287239E-04 0.877970E-05 0.225067E-04 0.429603E-07 0.575000E+02 0.276858E-04 0.846784E-05 0.218264E-04 0.414982E-07 0.580000E+02 0.267800E-04 0.813073E-05 0.210483E-04 0.404897E-07 0.585000E+02 0.260793E-04 0.782299E-05 0.204588E-04 0.397076E-07 0.590000E+02 0.251204E-04 0.755806E-05 0.197457E-04 0.385867E-07 0.595000E+02 0.243825E-04 0.730187E-05 0.190936E-04 0.371671E-07 0.600000E+02 0.237107E-04 0.702760E-05 0.186458E-04 0.366007E-07 0.605000E+02 0.231112E-04 0.678117E-05 0.181647E-04 0.359613E-07 0.610000E+02 0.223888E-04 0.649137E-05 0.175420E-04 0.351931E-07 0.615000E+02 0.220464E-04 0.630032E-05 0.170658E-04 0.347742E-07 0.620000E+02 0.217084E-04 0.614261E-05 0.168570E-04 0.341453E-07 0.625000E+02 0.214580E-04 0.604483E-05 0.167604E-04 0.340429E-07 0.630000E+02 0.216479E-04 0.603751E-05 0.169434E-04 0.347025E-07 0.635000E+02 0.224027E-04 0.626506E-05 0.180817E-04 0.365401E-07 (b) y/delta = 0.5 k_x E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.243934E+00 0.931877E-02 0.141405E-01 0.420595E-03 0.500000E+00 0.173551E+00 0.197161E-01 0.224048E-01 0.260040E-03 0.100000E+01 0.928109E-01 0.171420E-01 0.247117E-01 0.153806E-03 0.150000E+01 0.699429E-01 0.151489E-01 0.221249E-01 0.123434E-03 0.200000E+01 0.560232E-01 0.151987E-01 0.235707E-01 0.102780E-03 0.250000E+01 0.452021E-01 0.146451E-01 0.217207E-01 0.895578E-04 0.300000E+01 0.390268E-01 0.143020E-01 0.230611E-01 0.795671E-04 0.350000E+01 0.312845E-01 0.131401E-01 0.200167E-01 0.705101E-04 0.400000E+01 0.286411E-01 0.127054E-01 0.195347E-01 0.659971E-04 0.450000E+01 0.241479E-01 0.123531E-01 0.179989E-01 0.601255E-04 0.500000E+01 0.201541E-01 0.116852E-01 0.157974E-01 0.545018E-04 0.550000E+01 0.183309E-01 0.104487E-01 0.150296E-01 0.488556E-04 0.600000E+01 0.147316E-01 0.985755E-02 0.145148E-01 0.430337E-04 0.650000E+01 0.133581E-01 0.101445E-01 0.128919E-01 0.410714E-04 0.700000E+01 0.121530E-01 0.881378E-02 0.119967E-01 0.367665E-04 0.750000E+01 0.105295E-01 0.821850E-02 0.116007E-01 0.321908E-04 0.800000E+01 0.984100E-02 0.838201E-02 0.115949E-01 0.319936E-04 0.850000E+01 0.851290E-02 0.773328E-02 0.102898E-01 0.302901E-04 0.900000E+01 0.748775E-02 0.703864E-02 0.952886E-02 0.259979E-04 0.950000E+01 0.679206E-02 0.655763E-02 0.877689E-02 0.255280E-04 0.100000E+02 0.627990E-02 0.629058E-02 0.848627E-02 0.231420E-04 0.105000E+02 0.539130E-02 0.577758E-02 0.747772E-02 0.209798E-04 0.110000E+02 0.501497E-02 0.546934E-02 0.705305E-02 0.202897E-04 0.115000E+02 0.456784E-02 0.520258E-02 0.641246E-02 0.189565E-04 0.120000E+02 0.413358E-02 0.501367E-02 0.607509E-02 0.177570E-04 0.125000E+02 0.372219E-02 0.459033E-02 0.564752E-02 0.160579E-04 0.130000E+02 0.343416E-02 0.432091E-02 0.535089E-02 0.152887E-04 0.135000E+02 0.322277E-02 0.391963E-02 0.488131E-02 0.143445E-04 0.140000E+02 0.288344E-02 0.373335E-02 0.450389E-02 0.134937E-04 0.145000E+02 0.264961E-02 0.357145E-02 0.433480E-02 0.125409E-04 0.150000E+02 0.242492E-02 0.323966E-02 0.405870E-02 0.117104E-04 0.155000E+02 0.227620E-02 0.306760E-02 0.374708E-02 0.108440E-04 0.160000E+02 0.206996E-02 0.296708E-02 0.346775E-02 0.103693E-04 0.165000E+02 0.191281E-02 0.277679E-02 0.332086E-02 0.991025E-05 0.170000E+02 0.180357E-02 0.265135E-02 0.316175E-02 0.914242E-05 0.175000E+02 0.167299E-02 0.245161E-02 0.290922E-02 0.868859E-05 0.180000E+02 0.153024E-02 0.235296E-02 0.269792E-02 0.835489E-05 0.185000E+02 0.145813E-02 0.218309E-02 0.257182E-02 0.763571E-05 0.190000E+02 0.133610E-02 0.214781E-02 0.235563E-02 0.720014E-05 0.195000E+02 0.124664E-02 0.197507E-02 0.223300E-02 0.697110E-05 0.200000E+02 0.115422E-02 0.187393E-02 0.212364E-02 0.640097E-05 0.205000E+02 0.107039E-02 0.177499E-02 0.205159E-02 0.633778E-05 0.210000E+02 0.101408E-02 0.164638E-02 0.187298E-02 0.582580E-05 0.215000E+02 0.945574E-03 0.156365E-02 0.175250E-02 0.555904E-05 0.220000E+02 0.889151E-03 0.144641E-02 0.169191E-02 0.528064E-05 0.225000E+02 0.827641E-03 0.141397E-02 0.158336E-02 0.501528E-05 0.230000E+02 0.774649E-03 0.132654E-02 0.149644E-02 0.480949E-05 0.235000E+02 0.723917E-03 0.127187E-02 0.138686E-02 0.447776E-05 0.240000E+02 0.684105E-03 0.118252E-02 0.131903E-02 0.421256E-05 0.245000E+02 0.648196E-03 0.113112E-02 0.125273E-02 0.403150E-05 0.250000E+02 0.611431E-03 0.106765E-02 0.120319E-02 0.377141E-05 0.255000E+02 0.560470E-03 0.102245E-02 0.113725E-02 0.362138E-05 0.260000E+02 0.537641E-03 0.974651E-03 0.106393E-02 0.347720E-05 0.265000E+02 0.512370E-03 0.912639E-03 0.100488E-02 0.334065E-05 0.270000E+02 0.478593E-03 0.867880E-03 0.941791E-03 0.315338E-05 0.275000E+02 0.449819E-03 0.832088E-03 0.912290E-03 0.305313E-05 0.280000E+02 0.425397E-03 0.778007E-03 0.854700E-03 0.285493E-05 0.285000E+02 0.400402E-03 0.752110E-03 0.825336E-03 0.275988E-05 0.290000E+02 0.379730E-03 0.703258E-03 0.793829E-03 0.257825E-05 0.295000E+02 0.362321E-03 0.678874E-03 0.743638E-03 0.248355E-05 0.300000E+02 0.339719E-03 0.643557E-03 0.704366E-03 0.237246E-05 0.305000E+02 0.327787E-03 0.617763E-03 0.680506E-03 0.228138E-05 0.310000E+02 0.304866E-03 0.588490E-03 0.641880E-03 0.215471E-05 0.315000E+02 0.289436E-03 0.553834E-03 0.600257E-03 0.206388E-05 0.320000E+02 0.275638E-03 0.532854E-03 0.573091E-03 0.201207E-05 0.325000E+02 0.260178E-03 0.513898E-03 0.545806E-03 0.191765E-05 0.330000E+02 0.249365E-03 0.497648E-03 0.518973E-03 0.180947E-05 0.335000E+02 0.238777E-03 0.464693E-03 0.491168E-03 0.174370E-05 0.340000E+02 0.225415E-03 0.441970E-03 0.478303E-03 0.167466E-05 0.345000E+02 0.215804E-03 0.426474E-03 0.457643E-03 0.161668E-05 0.350000E+02 0.203378E-03 0.399053E-03 0.428594E-03 0.152455E-05 0.355000E+02 0.193076E-03 0.388092E-03 0.412133E-03 0.147145E-05 0.360000E+02 0.187427E-03 0.369169E-03 0.397985E-03 0.142204E-05 0.365000E+02 0.176546E-03 0.354239E-03 0.378902E-03 0.135422E-05 0.370000E+02 0.168894E-03 0.338600E-03 0.363240E-03 0.130084E-05 0.375000E+02 0.162018E-03 0.327211E-03 0.348138E-03 0.125401E-05 0.380000E+02 0.154953E-03 0.313409E-03 0.335709E-03 0.119373E-05 0.385000E+02 0.146399E-03 0.302464E-03 0.318901E-03 0.115021E-05 0.390000E+02 0.140871E-03 0.288477E-03 0.306915E-03 0.112474E-05 0.395000E+02 0.134566E-03 0.276710E-03 0.295697E-03 0.107894E-05 0.400000E+02 0.128767E-03 0.264629E-03 0.284845E-03 0.103864E-05 0.405000E+02 0.123586E-03 0.256189E-03 0.274172E-03 0.100156E-05 0.410000E+02 0.118302E-03 0.244110E-03 0.261301E-03 0.958711E-06 0.415000E+02 0.113034E-03 0.235865E-03 0.254280E-03 0.931256E-06 0.420000E+02 0.108625E-03 0.223980E-03 0.241582E-03 0.894494E-06 0.425000E+02 0.104543E-03 0.218482E-03 0.233563E-03 0.856098E-06 0.430000E+02 0.999367E-04 0.211201E-03 0.225862E-03 0.834458E-06 0.435000E+02 0.962407E-04 0.204861E-03 0.216403E-03 0.808428E-06 0.440000E+02 0.922742E-04 0.196578E-03 0.211093E-03 0.778005E-06 0.445000E+02 0.887974E-04 0.188265E-03 0.203137E-03 0.761852E-06 0.450000E+02 0.867682E-04 0.184390E-03 0.194450E-03 0.730574E-06 0.455000E+02 0.831808E-04 0.175988E-03 0.186531E-03 0.713382E-06 0.460000E+02 0.808360E-04 0.173398E-03 0.183718E-03 0.691606E-06 0.465000E+02 0.773726E-04 0.166482E-03 0.175937E-03 0.658593E-06 0.470000E+02 0.743460E-04 0.160507E-03 0.170793E-03 0.649773E-06 0.475000E+02 0.714951E-04 0.156066E-03 0.164711E-03 0.629642E-06 0.480000E+02 0.699019E-04 0.151461E-03 0.160474E-03 0.608658E-06 0.485000E+02 0.676259E-04 0.145413E-03 0.154692E-03 0.591201E-06 0.490000E+02 0.651873E-04 0.142577E-03 0.149479E-03 0.576671E-06 0.495000E+02 0.630207E-04 0.137621E-03 0.146930E-03 0.559340E-06 0.500000E+02 0.612959E-04 0.133745E-03 0.141610E-03 0.545192E-06 0.505000E+02 0.594416E-04 0.130960E-03 0.137796E-03 0.535880E-06 0.510000E+02 0.579945E-04 0.126279E-03 0.133315E-03 0.521602E-06 0.515000E+02 0.556880E-04 0.122954E-03 0.129851E-03 0.513547E-06 0.520000E+02 0.539239E-04 0.120143E-03 0.125417E-03 0.495991E-06 0.525000E+02 0.527883E-04 0.117480E-03 0.122723E-03 0.487861E-06 0.530000E+02 0.511815E-04 0.113991E-03 0.119856E-03 0.479120E-06 0.535000E+02 0.502101E-04 0.111708E-03 0.117651E-03 0.470954E-06 0.540000E+02 0.486964E-04 0.110204E-03 0.114367E-03 0.458337E-06 0.545000E+02 0.472455E-04 0.106294E-03 0.111722E-03 0.453910E-06 0.550000E+02 0.463708E-04 0.104562E-03 0.109132E-03 0.443264E-06 0.555000E+02 0.451964E-04 0.102601E-03 0.106191E-03 0.443289E-06 0.560000E+02 0.442741E-04 0.100860E-03 0.104033E-03 0.433448E-06 0.565000E+02 0.430229E-04 0.976991E-04 0.102231E-03 0.433278E-06 0.570000E+02 0.421856E-04 0.968996E-04 0.998141E-04 0.429461E-06 0.575000E+02 0.414208E-04 0.950148E-04 0.978286E-04 0.424967E-06 0.580000E+02 0.405512E-04 0.937122E-04 0.966809E-04 0.422787E-06 0.585000E+02 0.398124E-04 0.906800E-04 0.952764E-04 0.422850E-06 0.590000E+02 0.387644E-04 0.906997E-04 0.926733E-04 0.421362E-06 0.595000E+02 0.378210E-04 0.884196E-04 0.910789E-04 0.421091E-06 0.600000E+02 0.373210E-04 0.877975E-04 0.890834E-04 0.415791E-06 0.605000E+02 0.362462E-04 0.858884E-04 0.879201E-04 0.425429E-06 0.610000E+02 0.356363E-04 0.844938E-04 0.859605E-04 0.421531E-06 0.615000E+02 0.346658E-04 0.837786E-04 0.844593E-04 0.434453E-06 0.620000E+02 0.341868E-04 0.830070E-04 0.829213E-04 0.438771E-06 0.625000E+02 0.332905E-04 0.806615E-04 0.816909E-04 0.448195E-06 0.630000E+02 0.327133E-04 0.796956E-04 0.804635E-04 0.460758E-06 0.635000E+02 0.325035E-04 0.808291E-04 0.813284E-04 0.488880E-06 (c) y/delta = -0.5 k_x E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.431039E+00 0.279563E+00 0.212544E+00 0.579726E-03 0.000000E+00 0.168172E+00 0.855371E-02 0.141286E-01 0.222595E-03 0.500000E+00 0.172210E+00 0.201883E-01 0.195820E-01 0.246890E-03 0.100000E+01 0.911808E-01 0.177063E-01 0.227821E-01 0.157723E-03 0.150000E+01 0.716363E-01 0.160832E-01 0.242072E-01 0.126584E-03 0.200000E+01 0.578660E-01 0.154153E-01 0.224510E-01 0.102823E-03 0.250000E+01 0.456928E-01 0.152046E-01 0.215203E-01 0.909716E-04 0.300000E+01 0.405737E-01 0.153463E-01 0.205745E-01 0.803486E-04 0.350000E+01 0.329379E-01 0.130507E-01 0.207337E-01 0.693265E-04 0.400000E+01 0.282019E-01 0.135935E-01 0.199012E-01 0.662360E-04 0.450000E+01 0.247969E-01 0.124582E-01 0.187202E-01 0.603426E-04 0.500000E+01 0.206186E-01 0.111396E-01 0.166854E-01 0.493824E-04 0.550000E+01 0.174022E-01 0.104887E-01 0.152226E-01 0.469163E-04 0.600000E+01 0.158186E-01 0.101121E-01 0.151398E-01 0.430114E-04 0.650000E+01 0.129052E-01 0.984429E-02 0.134144E-01 0.387358E-04 0.700000E+01 0.120424E-01 0.887024E-02 0.129653E-01 0.361058E-04 0.750000E+01 0.111285E-01 0.852439E-02 0.114158E-01 0.326005E-04 0.800000E+01 0.985022E-02 0.813505E-02 0.113567E-01 0.305917E-04 0.850000E+01 0.846737E-02 0.758326E-02 0.104505E-01 0.277978E-04 0.900000E+01 0.757931E-02 0.699978E-02 0.950317E-02 0.252578E-04 0.950000E+01 0.699152E-02 0.677638E-02 0.869697E-02 0.248052E-04 0.100000E+02 0.625543E-02 0.617104E-02 0.802243E-02 0.225322E-04 0.105000E+02 0.561306E-02 0.593331E-02 0.763577E-02 0.208837E-04 0.110000E+02 0.500994E-02 0.548556E-02 0.701653E-02 0.195724E-04 0.115000E+02 0.445808E-02 0.511322E-02 0.649529E-02 0.176351E-04 0.120000E+02 0.409206E-02 0.485163E-02 0.605620E-02 0.169918E-04 0.125000E+02 0.381611E-02 0.458138E-02 0.583399E-02 0.160154E-04 0.130000E+02 0.343126E-02 0.430061E-02 0.536878E-02 0.146775E-04 0.135000E+02 0.318733E-02 0.411135E-02 0.514761E-02 0.134914E-04 0.140000E+02 0.285440E-02 0.383381E-02 0.457219E-02 0.129586E-04 0.145000E+02 0.259688E-02 0.359607E-02 0.428470E-02 0.124145E-04 0.150000E+02 0.246068E-02 0.333647E-02 0.402690E-02 0.115128E-04 0.155000E+02 0.226767E-02 0.307203E-02 0.375630E-02 0.108027E-04 0.160000E+02 0.207841E-02 0.286741E-02 0.369427E-02 0.100420E-04 0.165000E+02 0.191669E-02 0.281875E-02 0.337545E-02 0.964881E-05 0.170000E+02 0.179301E-02 0.265168E-02 0.312199E-02 0.899975E-05 0.175000E+02 0.166056E-02 0.247371E-02 0.289452E-02 0.863334E-05 0.180000E+02 0.154485E-02 0.234019E-02 0.280312E-02 0.797851E-05 0.185000E+02 0.143363E-02 0.221758E-02 0.262244E-02 0.748688E-05 0.190000E+02 0.135262E-02 0.208059E-02 0.246498E-02 0.721458E-05 0.195000E+02 0.125735E-02 0.197089E-02 0.234593E-02 0.666118E-05 0.200000E+02 0.116007E-02 0.187591E-02 0.211274E-02 0.645619E-05 0.205000E+02 0.106809E-02 0.176463E-02 0.197633E-02 0.601274E-05 0.210000E+02 0.101949E-02 0.163983E-02 0.190312E-02 0.571796E-05 0.215000E+02 0.951553E-03 0.155535E-02 0.177908E-02 0.535068E-05 0.220000E+02 0.873135E-03 0.147145E-02 0.166072E-02 0.514540E-05 0.225000E+02 0.838927E-03 0.142399E-02 0.158926E-02 0.497889E-05 0.230000E+02 0.790170E-03 0.134552E-02 0.150112E-02 0.467599E-05 0.235000E+02 0.735848E-03 0.126016E-02 0.142641E-02 0.441664E-05 0.240000E+02 0.688544E-03 0.119280E-02 0.133079E-02 0.420039E-05 0.245000E+02 0.640664E-03 0.113763E-02 0.125522E-02 0.393307E-05 0.250000E+02 0.618994E-03 0.106113E-02 0.121728E-02 0.373449E-05 0.255000E+02 0.576422E-03 0.102314E-02 0.111719E-02 0.360604E-05 0.260000E+02 0.547897E-03 0.950432E-03 0.106915E-02 0.336908E-05 0.265000E+02 0.507429E-03 0.927044E-03 0.101427E-02 0.319041E-05 0.270000E+02 0.480863E-03 0.856452E-03 0.977737E-03 0.310373E-05 0.275000E+02 0.460585E-03 0.841863E-03 0.916453E-03 0.291931E-05 0.280000E+02 0.429334E-03 0.782545E-03 0.855271E-03 0.282088E-05 0.285000E+02 0.405276E-03 0.765536E-03 0.833256E-03 0.268549E-05 0.290000E+02 0.382253E-03 0.714760E-03 0.790439E-03 0.256529E-05 0.295000E+02 0.369190E-03 0.677198E-03 0.745354E-03 0.247084E-05 0.300000E+02 0.345075E-03 0.647576E-03 0.704930E-03 0.232381E-05 0.305000E+02 0.326868E-03 0.620333E-03 0.665813E-03 0.220963E-05 0.310000E+02 0.308300E-03 0.593494E-03 0.632372E-03 0.212247E-05 0.315000E+02 0.292250E-03 0.561752E-03 0.606327E-03 0.203632E-05 0.320000E+02 0.279733E-03 0.538521E-03 0.583795E-03 0.196587E-05 0.325000E+02 0.260701E-03 0.511428E-03 0.555055E-03 0.188441E-05 0.330000E+02 0.250558E-03 0.489455E-03 0.531494E-03 0.177760E-05 0.335000E+02 0.237811E-03 0.465508E-03 0.494583E-03 0.171313E-05 0.340000E+02 0.223539E-03 0.447550E-03 0.474135E-03 0.162686E-05 0.345000E+02 0.216958E-03 0.430681E-03 0.459895E-03 0.157229E-05 0.350000E+02 0.204323E-03 0.404546E-03 0.442454E-03 0.151130E-05 0.355000E+02 0.195060E-03 0.387327E-03 0.416264E-03 0.146821E-05 0.360000E+02 0.189570E-03 0.377635E-03 0.400798E-03 0.139116E-05 0.365000E+02 0.177588E-03 0.357478E-03 0.380825E-03 0.132808E-05 0.370000E+02 0.170588E-03 0.344612E-03 0.367184E-03 0.128170E-05 0.375000E+02 0.162269E-03 0.329071E-03 0.351046E-03 0.122375E-05 0.380000E+02 0.155566E-03 0.315634E-03 0.335091E-03 0.116446E-05 0.385000E+02 0.148849E-03 0.298630E-03 0.323592E-03 0.114121E-05 0.390000E+02 0.143410E-03 0.291507E-03 0.312502E-03 0.109312E-05 0.395000E+02 0.136607E-03 0.276140E-03 0.299201E-03 0.105191E-05 0.400000E+02 0.130547E-03 0.266741E-03 0.285226E-03 0.101384E-05 0.405000E+02 0.125225E-03 0.255204E-03 0.278334E-03 0.987658E-06 0.410000E+02 0.119228E-03 0.244199E-03 0.267705E-03 0.945040E-06 0.415000E+02 0.114803E-03 0.239751E-03 0.253668E-03 0.909210E-06 0.420000E+02 0.110524E-03 0.232075E-03 0.246961E-03 0.871935E-06 0.425000E+02 0.106685E-03 0.222435E-03 0.235247E-03 0.855599E-06 0.430000E+02 0.102012E-03 0.214658E-03 0.225820E-03 0.825441E-06 0.435000E+02 0.979535E-04 0.205065E-03 0.220411E-03 0.800962E-06 0.440000E+02 0.950972E-04 0.198115E-03 0.212141E-03 0.771288E-06 0.445000E+02 0.908739E-04 0.193087E-03 0.206500E-03 0.742766E-06 0.450000E+02 0.874015E-04 0.184968E-03 0.195727E-03 0.714206E-06 0.455000E+02 0.845761E-04 0.180848E-03 0.190591E-03 0.702102E-06 0.460000E+02 0.814648E-04 0.173052E-03 0.184716E-03 0.673414E-06 0.465000E+02 0.783454E-04 0.170074E-03 0.178522E-03 0.657601E-06 0.470000E+02 0.760869E-04 0.161978E-03 0.171111E-03 0.637494E-06 0.475000E+02 0.729899E-04 0.158733E-03 0.168256E-03 0.618571E-06 0.480000E+02 0.702996E-04 0.152290E-03 0.161538E-03 0.601885E-06 0.485000E+02 0.679577E-04 0.147702E-03 0.155592E-03 0.585233E-06 0.490000E+02 0.664841E-04 0.144270E-03 0.152108E-03 0.564632E-06 0.495000E+02 0.634524E-04 0.139582E-03 0.147225E-03 0.553889E-06 0.500000E+02 0.622269E-04 0.136284E-03 0.142250E-03 0.535836E-06 0.505000E+02 0.601151E-04 0.131104E-03 0.138817E-03 0.526834E-06 0.510000E+02 0.580162E-04 0.128942E-03 0.134900E-03 0.507408E-06 0.515000E+02 0.565616E-04 0.125955E-03 0.132078E-03 0.498563E-06 0.520000E+02 0.553026E-04 0.121813E-03 0.127247E-03 0.488743E-06 0.525000E+02 0.537928E-04 0.117910E-03 0.124289E-03 0.476689E-06 0.530000E+02 0.516793E-04 0.115276E-03 0.122044E-03 0.468864E-06 0.535000E+02 0.509548E-04 0.112310E-03 0.120174E-03 0.464341E-06 0.540000E+02 0.492268E-04 0.110379E-03 0.116240E-03 0.457224E-06 0.545000E+02 0.481575E-04 0.107664E-03 0.113187E-03 0.445293E-06 0.550000E+02 0.470720E-04 0.104855E-03 0.109927E-03 0.439251E-06 0.555000E+02 0.462164E-04 0.102809E-03 0.108627E-03 0.437249E-06 0.560000E+02 0.449307E-04 0.101326E-03 0.105615E-03 0.430321E-06 0.565000E+02 0.440669E-04 0.995076E-04 0.103611E-03 0.425596E-06 0.570000E+02 0.429066E-04 0.976711E-04 0.101724E-03 0.425523E-06 0.575000E+02 0.419424E-04 0.958564E-04 0.993919E-04 0.421386E-06 0.580000E+02 0.413291E-04 0.947004E-04 0.977435E-04 0.420505E-06 0.585000E+02 0.405957E-04 0.931956E-04 0.958187E-04 0.417938E-06 0.590000E+02 0.398085E-04 0.924254E-04 0.945437E-04 0.419228E-06 0.595000E+02 0.387641E-04 0.902246E-04 0.932832E-04 0.419432E-06 0.600000E+02 0.381045E-04 0.888187E-04 0.921794E-04 0.422805E-06 0.605000E+02 0.374465E-04 0.880483E-04 0.894841E-04 0.422229E-06 0.610000E+02 0.365038E-04 0.863130E-04 0.886187E-04 0.433046E-06 0.615000E+02 0.355606E-04 0.854879E-04 0.875012E-04 0.435695E-06 0.620000E+02 0.348492E-04 0.849690E-04 0.847544E-04 0.444094E-06 0.625000E+02 0.341992E-04 0.829187E-04 0.841135E-04 0.455899E-06 0.630000E+02 0.334383E-04 0.827641E-04 0.828070E-04 0.476401E-06 0.635000E+02 0.340025E-04 0.851227E-04 0.844181E-04 0.519316E-06 (d) y/delta = -0.97 k_x E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.463670E+00 0.768621E-03 0.265475E-01 0.171210E-03 0.500000E+00 0.471883E+00 0.153574E-02 0.377201E-01 0.176450E-03 0.100000E+01 0.330620E+00 0.148678E-02 0.279971E-01 0.116549E-03 0.150000E+01 0.256630E+00 0.144246E-02 0.248832E-01 0.895107E-04 0.200000E+01 0.206581E+00 0.136304E-02 0.225471E-01 0.718202E-04 0.250000E+01 0.168810E+00 0.128745E-02 0.205675E-01 0.591993E-04 0.300000E+01 0.137155E+00 0.123114E-02 0.183389E-01 0.489039E-04 0.350000E+01 0.117334E+00 0.117749E-02 0.179179E-01 0.424284E-04 0.400000E+01 0.974211E-01 0.110855E-02 0.161167E-01 0.357804E-04 0.450000E+01 0.848874E-01 0.106646E-02 0.147396E-01 0.317311E-04 0.500000E+01 0.710193E-01 0.101542E-02 0.134013E-01 0.271280E-04 0.550000E+01 0.612021E-01 0.966732E-03 0.126847E-01 0.241185E-04 0.600000E+01 0.539485E-01 0.917432E-03 0.116590E-01 0.214566E-04 0.650000E+01 0.467332E-01 0.865402E-03 0.109099E-01 0.192430E-04 0.700000E+01 0.413666E-01 0.824145E-03 0.995854E-02 0.171173E-04 0.750000E+01 0.361925E-01 0.805492E-03 0.952237E-02 0.155121E-04 0.800000E+01 0.317905E-01 0.753351E-03 0.854561E-02 0.137270E-04 0.850000E+01 0.274662E-01 0.709899E-03 0.795288E-02 0.123248E-04 0.900000E+01 0.249331E-01 0.685760E-03 0.751378E-02 0.113545E-04 0.950000E+01 0.215853E-01 0.644601E-03 0.692855E-02 0.100681E-04 0.100000E+02 0.191080E-01 0.613665E-03 0.645028E-02 0.913084E-05 0.105000E+02 0.170342E-01 0.586844E-03 0.597950E-02 0.836527E-05 0.110000E+02 0.154753E-01 0.560669E-03 0.554068E-02 0.769274E-05 0.115000E+02 0.137170E-01 0.527805E-03 0.513255E-02 0.704068E-05 0.120000E+02 0.123614E-01 0.494083E-03 0.476239E-02 0.646168E-05 0.125000E+02 0.108349E-01 0.476664E-03 0.439845E-02 0.578558E-05 0.130000E+02 0.982458E-02 0.451330E-03 0.408594E-02 0.532264E-05 0.135000E+02 0.885394E-02 0.431024E-03 0.375972E-02 0.491198E-05 0.140000E+02 0.789203E-02 0.410264E-03 0.348169E-02 0.448469E-05 0.145000E+02 0.714200E-02 0.386853E-03 0.322089E-02 0.409594E-05 0.150000E+02 0.642145E-02 0.366067E-03 0.295751E-02 0.376183E-05 0.155000E+02 0.582256E-02 0.350142E-03 0.275539E-02 0.349316E-05 0.160000E+02 0.524081E-02 0.327474E-03 0.252529E-02 0.320494E-05 0.165000E+02 0.472854E-02 0.312616E-03 0.236622E-02 0.293107E-05 0.170000E+02 0.435518E-02 0.298035E-03 0.219634E-02 0.274658E-05 0.175000E+02 0.393297E-02 0.282814E-03 0.202347E-02 0.252837E-05 0.180000E+02 0.358810E-02 0.268665E-03 0.188388E-02 0.236472E-05 0.185000E+02 0.327585E-02 0.255255E-03 0.175813E-02 0.217900E-05 0.190000E+02 0.297513E-02 0.243257E-03 0.162715E-02 0.200723E-05 0.195000E+02 0.270132E-02 0.230037E-03 0.150183E-02 0.185402E-05 0.200000E+02 0.249128E-02 0.218469E-03 0.139790E-02 0.172620E-05 0.205000E+02 0.226707E-02 0.208791E-03 0.129501E-02 0.160665E-05 0.210000E+02 0.208340E-02 0.197804E-03 0.121489E-02 0.150002E-05 0.215000E+02 0.189202E-02 0.187846E-03 0.111699E-02 0.138352E-05 0.220000E+02 0.175647E-02 0.178562E-03 0.104504E-02 0.129146E-05 0.225000E+02 0.161579E-02 0.168628E-03 0.966623E-03 0.120099E-05 0.230000E+02 0.149034E-02 0.162308E-03 0.906566E-03 0.112285E-05 0.235000E+02 0.135745E-02 0.153099E-03 0.840251E-03 0.104896E-05 0.240000E+02 0.126468E-02 0.145926E-03 0.778629E-03 0.970740E-06 0.245000E+02 0.115388E-02 0.138340E-03 0.724507E-03 0.902377E-06 0.250000E+02 0.106840E-02 0.132317E-03 0.681632E-03 0.848723E-06 0.255000E+02 0.992352E-03 0.127262E-03 0.639382E-03 0.793632E-06 0.260000E+02 0.907462E-03 0.119530E-03 0.589483E-03 0.737707E-06 0.265000E+02 0.839611E-03 0.113375E-03 0.551479E-03 0.691586E-06 0.270000E+02 0.779755E-03 0.108182E-03 0.514618E-03 0.648405E-06 0.275000E+02 0.723122E-03 0.102490E-03 0.477593E-03 0.605761E-06 0.280000E+02 0.670978E-03 0.981463E-04 0.449841E-03 0.571056E-06 0.285000E+02 0.623186E-03 0.935948E-04 0.419628E-03 0.528992E-06 0.290000E+02 0.580144E-03 0.896927E-04 0.393930E-03 0.497469E-06 0.295000E+02 0.541735E-03 0.851714E-04 0.370141E-03 0.472723E-06 0.300000E+02 0.501073E-03 0.816851E-04 0.344850E-03 0.437617E-06 0.305000E+02 0.470725E-03 0.775357E-04 0.323898E-03 0.415663E-06 0.310000E+02 0.433227E-03 0.739685E-04 0.303574E-03 0.390519E-06 0.315000E+02 0.406112E-03 0.704907E-04 0.283343E-03 0.367490E-06 0.320000E+02 0.376693E-03 0.673597E-04 0.266964E-03 0.347292E-06 0.325000E+02 0.352162E-03 0.640958E-04 0.249746E-03 0.326070E-06 0.330000E+02 0.330859E-03 0.612211E-04 0.234204E-03 0.306603E-06 0.335000E+02 0.308388E-03 0.581116E-04 0.219227E-03 0.289768E-06 0.340000E+02 0.287687E-03 0.555890E-04 0.206443E-03 0.273457E-06 0.345000E+02 0.272025E-03 0.532171E-04 0.195263E-03 0.259767E-06 0.350000E+02 0.253722E-03 0.507060E-04 0.183079E-03 0.243845E-06 0.355000E+02 0.237452E-03 0.484176E-04 0.172994E-03 0.232994E-06 0.360000E+02 0.222277E-03 0.461853E-04 0.162152E-03 0.220226E-06 0.365000E+02 0.209050E-03 0.441749E-04 0.153589E-03 0.207991E-06 0.370000E+02 0.196796E-03 0.424394E-04 0.145125E-03 0.197939E-06 0.375000E+02 0.185165E-03 0.405403E-04 0.136237E-03 0.186430E-06 0.380000E+02 0.175055E-03 0.388643E-04 0.129482E-03 0.178394E-06 0.385000E+02 0.164035E-03 0.372287E-04 0.122631E-03 0.167773E-06 0.390000E+02 0.154698E-03 0.357041E-04 0.116376E-03 0.159483E-06 0.395000E+02 0.145825E-03 0.342436E-04 0.109883E-03 0.152288E-06 0.400000E+02 0.138337E-03 0.327792E-04 0.103923E-03 0.145251E-06 0.405000E+02 0.130274E-03 0.314878E-04 0.980206E-04 0.136644E-06 0.410000E+02 0.122992E-03 0.302610E-04 0.940843E-04 0.130938E-06 0.415000E+02 0.116229E-03 0.289846E-04 0.891140E-04 0.125498E-06 0.420000E+02 0.110116E-03 0.278806E-04 0.842419E-04 0.119227E-06 0.425000E+02 0.104182E-03 0.267564E-04 0.804656E-04 0.113678E-06 0.430000E+02 0.988521E-04 0.257245E-04 0.762749E-04 0.109324E-06 0.435000E+02 0.936729E-04 0.248217E-04 0.727909E-04 0.104905E-06 0.440000E+02 0.890984E-04 0.238622E-04 0.691362E-04 0.100082E-06 0.445000E+02 0.846868E-04 0.229669E-04 0.654362E-04 0.959363E-07 0.450000E+02 0.804662E-04 0.220459E-04 0.624308E-04 0.912062E-07 0.455000E+02 0.765713E-04 0.210926E-04 0.592097E-04 0.873522E-07 0.460000E+02 0.728040E-04 0.202434E-04 0.564430E-04 0.847216E-07 0.465000E+02 0.690840E-04 0.195745E-04 0.537896E-04 0.810427E-07 0.470000E+02 0.661840E-04 0.188290E-04 0.515423E-04 0.779559E-07 0.475000E+02 0.630148E-04 0.181518E-04 0.493226E-04 0.750432E-07 0.480000E+02 0.603173E-04 0.174099E-04 0.468909E-04 0.718450E-07 0.485000E+02 0.574677E-04 0.166996E-04 0.449723E-04 0.685930E-07 0.490000E+02 0.549115E-04 0.161030E-04 0.431829E-04 0.658403E-07 0.495000E+02 0.528082E-04 0.155428E-04 0.412355E-04 0.638992E-07 0.500000E+02 0.505621E-04 0.149964E-04 0.395431E-04 0.617111E-07 0.505000E+02 0.483481E-04 0.144107E-04 0.378359E-04 0.596795E-07 0.510000E+02 0.464640E-04 0.138956E-04 0.362599E-04 0.576318E-07 0.515000E+02 0.444833E-04 0.134690E-04 0.350143E-04 0.559490E-07 0.520000E+02 0.427823E-04 0.129809E-04 0.336688E-04 0.542877E-07 0.525000E+02 0.411654E-04 0.124874E-04 0.323441E-04 0.526255E-07 0.530000E+02 0.395199E-04 0.120431E-04 0.310293E-04 0.510633E-07 0.535000E+02 0.379115E-04 0.115941E-04 0.298447E-04 0.494343E-07 0.540000E+02 0.367146E-04 0.112815E-04 0.287451E-04 0.478002E-07 0.545000E+02 0.354874E-04 0.108694E-04 0.278170E-04 0.467453E-07 0.550000E+02 0.341170E-04 0.105277E-04 0.267673E-04 0.451958E-07 0.555000E+02 0.327744E-04 0.101314E-04 0.257325E-04 0.439581E-07 0.560000E+02 0.316407E-04 0.978928E-05 0.248447E-04 0.428236E-07 0.565000E+02 0.306092E-04 0.940921E-05 0.240149E-04 0.415549E-07 0.570000E+02 0.295656E-04 0.914148E-05 0.231929E-04 0.404947E-07 0.575000E+02 0.285165E-04 0.877477E-05 0.223999E-04 0.394108E-07 0.580000E+02 0.276927E-04 0.841775E-05 0.217005E-04 0.383875E-07 0.585000E+02 0.267093E-04 0.814694E-05 0.209969E-04 0.371288E-07 0.590000E+02 0.260107E-04 0.788688E-05 0.203463E-04 0.363678E-07 0.595000E+02 0.251926E-04 0.760017E-05 0.196730E-04 0.353763E-07 0.600000E+02 0.244075E-04 0.730765E-05 0.190556E-04 0.343316E-07 0.605000E+02 0.237758E-04 0.706472E-05 0.184892E-04 0.335164E-07 0.610000E+02 0.232547E-04 0.682538E-05 0.181582E-04 0.330409E-07 0.615000E+02 0.226814E-04 0.662984E-05 0.177640E-04 0.324674E-07 0.620000E+02 0.224183E-04 0.646566E-05 0.175463E-04 0.322402E-07 0.625000E+02 0.224798E-04 0.636759E-05 0.176467E-04 0.323612E-07 0.630000E+02 0.223973E-04 0.634737E-05 0.178765E-04 0.329414E-07 0.635000E+02 0.230347E-04 0.652820E-05 0.187739E-04 0.347184E-07 4.3.2 Spanwise Power Spectra (a) y/delta = 0.97 (aiding flow) k_z E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.545622E-01 0.122945E-03 0.132510E-01 0.397340E-04 0.133333E+01 0.893532E-01 0.254793E-03 0.203329E-01 0.640308E-04 0.266667E+01 0.112364E+00 0.263140E-03 0.226838E-01 0.654866E-04 0.400000E+01 0.119759E+00 0.283689E-03 0.236403E-01 0.632290E-04 0.533333E+01 0.118155E+00 0.315525E-03 0.228200E-01 0.575179E-04 0.666667E+01 0.128819E+00 0.356993E-03 0.233428E-01 0.600319E-04 0.800000E+01 0.134580E+00 0.413917E-03 0.232498E-01 0.602397E-04 0.933333E+01 0.141482E+00 0.470436E-03 0.224337E-01 0.609533E-04 0.106667E+02 0.141724E+00 0.536811E-03 0.221450E-01 0.603209E-04 0.120000E+02 0.140940E+00 0.631148E-03 0.214084E-01 0.581864E-04 0.133333E+02 0.139705E+00 0.710507E-03 0.202396E-01 0.563106E-04 0.146667E+02 0.141208E+00 0.805314E-03 0.193557E-01 0.550997E-04 0.160000E+02 0.125892E+00 0.868379E-03 0.175016E-01 0.488897E-04 0.173333E+02 0.116010E+00 0.925067E-03 0.158787E-01 0.444771E-04 0.186667E+02 0.110555E+00 0.992597E-03 0.146152E-01 0.413603E-04 0.200000E+02 0.987003E-01 0.100317E-02 0.127137E-01 0.366307E-04 0.213333E+02 0.929153E-01 0.107057E-02 0.116874E-01 0.340576E-04 0.226667E+02 0.802414E-01 0.107037E-02 0.103468E-01 0.294485E-04 0.240000E+02 0.696240E-01 0.108089E-02 0.907411E-02 0.252871E-04 0.253333E+02 0.621346E-01 0.105492E-02 0.783741E-02 0.223659E-04 0.266667E+02 0.559624E-01 0.105351E-02 0.690971E-02 0.198631E-04 0.280000E+02 0.497495E-01 0.103061E-02 0.605693E-02 0.174050E-04 0.293333E+02 0.437522E-01 0.102493E-02 0.533783E-02 0.152546E-04 0.306667E+02 0.377475E-01 0.964368E-03 0.459991E-02 0.132363E-04 0.320000E+02 0.338616E-01 0.938784E-03 0.402880E-02 0.117464E-04 0.333333E+02 0.300226E-01 0.909031E-03 0.351475E-02 0.103054E-04 0.346667E+02 0.259023E-01 0.859098E-03 0.305156E-02 0.884900E-05 0.360000E+02 0.233363E-01 0.830690E-03 0.270148E-02 0.789448E-05 0.373333E+02 0.210867E-01 0.800405E-03 0.238804E-02 0.708195E-05 0.386667E+02 0.181727E-01 0.750235E-03 0.206724E-02 0.609074E-05 0.400000E+02 0.164620E-01 0.720545E-03 0.184117E-02 0.541258E-05 0.413333E+02 0.142058E-01 0.674175E-03 0.159458E-02 0.467164E-05 0.426667E+02 0.126460E-01 0.630876E-03 0.140041E-02 0.413724E-05 0.440000E+02 0.112978E-01 0.609385E-03 0.125281E-02 0.367484E-05 0.453333E+02 0.100149E-01 0.559609E-03 0.109580E-02 0.324354E-05 0.466667E+02 0.899478E-02 0.529918E-03 0.972212E-03 0.289866E-05 0.480000E+02 0.793471E-02 0.498945E-03 0.861279E-03 0.254487E-05 0.493333E+02 0.702767E-02 0.468438E-03 0.764043E-03 0.223940E-05 0.506667E+02 0.637178E-02 0.439719E-03 0.681457E-03 0.200207E-05 0.520000E+02 0.564325E-02 0.405328E-03 0.603230E-03 0.177032E-05 0.533333E+02 0.505840E-02 0.379591E-03 0.535479E-03 0.158681E-05 0.546667E+02 0.452084E-02 0.353463E-03 0.477100E-03 0.140535E-05 0.560000E+02 0.410291E-02 0.330327E-03 0.428990E-03 0.126284E-05 0.573333E+02 0.372116E-02 0.310304E-03 0.384518E-03 0.113793E-05 0.586667E+02 0.332444E-02 0.288154E-03 0.341846E-03 0.100895E-05 0.600000E+02 0.298379E-02 0.267735E-03 0.308264E-03 0.900203E-06 0.613333E+02 0.268665E-02 0.250191E-03 0.275746E-03 0.803875E-06 0.626667E+02 0.244924E-02 0.232781E-03 0.248295E-03 0.725612E-06 0.640000E+02 0.221926E-02 0.215808E-03 0.223225E-03 0.655058E-06 0.653333E+02 0.199750E-02 0.198904E-03 0.200501E-03 0.586421E-06 0.666667E+02 0.181514E-02 0.185946E-03 0.181344E-03 0.531992E-06 0.680000E+02 0.165566E-02 0.173151E-03 0.162405E-03 0.478186E-06 0.693333E+02 0.149874E-02 0.161562E-03 0.147104E-03 0.430967E-06 0.706667E+02 0.136475E-02 0.149542E-03 0.133035E-03 0.391438E-06 0.720000E+02 0.123373E-02 0.138469E-03 0.119997E-03 0.351593E-06 0.733333E+02 0.112781E-02 0.128792E-03 0.108599E-03 0.319129E-06 0.746667E+02 0.102824E-02 0.119568E-03 0.987625E-04 0.290176E-06 0.760000E+02 0.934912E-03 0.109754E-03 0.889211E-04 0.262065E-06 0.773333E+02 0.854029E-03 0.102933E-03 0.814510E-04 0.238348E-06 0.786667E+02 0.784935E-03 0.948005E-04 0.743288E-04 0.217749E-06 0.800000E+02 0.713554E-03 0.890531E-04 0.675174E-04 0.196651E-06 0.813333E+02 0.662320E-03 0.820561E-04 0.612831E-04 0.180692E-06 0.826667E+02 0.605536E-03 0.762033E-04 0.557473E-04 0.164387E-06 0.840000E+02 0.551582E-03 0.711191E-04 0.509427E-04 0.150229E-06 0.853333E+02 0.510475E-03 0.663894E-04 0.467288E-04 0.137702E-06 0.866667E+02 0.470392E-03 0.616319E-04 0.428810E-04 0.126566E-06 0.880000E+02 0.433698E-03 0.572342E-04 0.392924E-04 0.115751E-06 0.893333E+02 0.400815E-03 0.532810E-04 0.359780E-04 0.106239E-06 0.906667E+02 0.372258E-03 0.494845E-04 0.331220E-04 0.982755E-07 0.920000E+02 0.342651E-03 0.463347E-04 0.304857E-04 0.899653E-07 0.933333E+02 0.316929E-03 0.429806E-04 0.280177E-04 0.829347E-07 0.946667E+02 0.296099E-03 0.400812E-04 0.258339E-04 0.769353E-07 0.960000E+02 0.275372E-03 0.373409E-04 0.238786E-04 0.713552E-07 0.973333E+02 0.257229E-03 0.351492E-04 0.221282E-04 0.662227E-07 0.986667E+02 0.241674E-03 0.326594E-04 0.205527E-04 0.622099E-07 0.100000E+03 0.226198E-03 0.306043E-04 0.191058E-04 0.578303E-07 0.101333E+03 0.212447E-03 0.286376E-04 0.178078E-04 0.541876E-07 0.102667E+03 0.200286E-03 0.270314E-04 0.165979E-04 0.507623E-07 0.104000E+03 0.189361E-03 0.253171E-04 0.154888E-04 0.479389E-07 0.105333E+03 0.179105E-03 0.239164E-04 0.144934E-04 0.451812E-07 0.106667E+03 0.169483E-03 0.225220E-04 0.136145E-04 0.427544E-07 0.108000E+03 0.161006E-03 0.213352E-04 0.128512E-04 0.404642E-07 0.109333E+03 0.153158E-03 0.200871E-04 0.120932E-04 0.384919E-07 0.110667E+03 0.147119E-03 0.190254E-04 0.113796E-04 0.367200E-07 0.112000E+03 0.141285E-03 0.180723E-04 0.107735E-04 0.351742E-07 0.113333E+03 0.135896E-03 0.171447E-04 0.102208E-04 0.335866E-07 0.114667E+03 0.130613E-03 0.161613E-04 0.964742E-05 0.320967E-07 0.116000E+03 0.124616E-03 0.154289E-04 0.909927E-05 0.304825E-07 0.117333E+03 0.119091E-03 0.144726E-04 0.855197E-05 0.289701E-07 0.118667E+03 0.113543E-03 0.136541E-04 0.802996E-05 0.273157E-07 0.120000E+03 0.107308E-03 0.127232E-04 0.748726E-05 0.255874E-07 0.121333E+03 0.100933E-03 0.118747E-04 0.691420E-05 0.238574E-07 0.122667E+03 0.939981E-04 0.109307E-04 0.638098E-05 0.220367E-07 0.124000E+03 0.877857E-04 0.100736E-04 0.585735E-05 0.202657E-07 0.125333E+03 0.809113E-04 0.919922E-05 0.530156E-05 0.185243E-07 0.126667E+03 0.757436E-04 0.849108E-05 0.488022E-05 0.171253E-07 (b) y/delta = 0.5 k_z E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.584260E-01 0.135884E-01 0.889557E-01 0.283243E-03 0.133333E+01 0.142283E+00 0.319542E-01 0.818407E-01 0.446435E-03 0.266667E+01 0.161131E+00 0.386018E-01 0.771163E-01 0.374774E-03 0.400000E+01 0.144197E+00 0.357751E-01 0.588289E-01 0.241512E-03 0.533333E+01 0.994794E-01 0.335261E-01 0.453209E-01 0.165468E-03 0.666667E+01 0.723162E-01 0.296770E-01 0.341025E-01 0.123990E-03 0.800000E+01 0.520935E-01 0.259025E-01 0.256068E-01 0.917705E-04 0.933333E+01 0.374198E-01 0.207228E-01 0.193803E-01 0.684965E-04 0.106667E+02 0.295054E-01 0.178808E-01 0.145769E-01 0.551714E-04 0.120000E+02 0.221427E-01 0.147986E-01 0.110942E-01 0.441635E-04 0.133333E+02 0.168851E-01 0.123033E-01 0.856217E-02 0.357291E-04 0.146667E+02 0.135541E-01 0.104130E-01 0.670494E-02 0.296839E-04 0.160000E+02 0.106599E-01 0.865865E-02 0.528888E-02 0.244230E-04 0.173333E+02 0.840007E-02 0.728204E-02 0.424789E-02 0.207093E-04 0.186667E+02 0.690166E-02 0.611850E-02 0.340064E-02 0.171181E-04 0.200000E+02 0.564428E-02 0.525597E-02 0.273790E-02 0.147812E-04 0.213333E+02 0.469015E-02 0.443814E-02 0.224996E-02 0.125235E-04 0.226667E+02 0.389197E-02 0.377754E-02 0.184471E-02 0.106863E-04 0.240000E+02 0.327473E-02 0.321001E-02 0.152281E-02 0.921410E-05 0.253333E+02 0.276943E-02 0.271113E-02 0.126536E-02 0.794845E-05 0.266667E+02 0.236312E-02 0.233368E-02 0.104806E-02 0.691747E-05 0.280000E+02 0.198283E-02 0.201846E-02 0.880383E-03 0.600963E-05 0.293333E+02 0.171370E-02 0.173954E-02 0.741751E-03 0.518751E-05 0.306667E+02 0.147058E-02 0.150033E-02 0.624386E-03 0.454989E-05 0.320000E+02 0.125950E-02 0.129650E-02 0.530518E-03 0.395959E-05 0.333333E+02 0.108980E-02 0.112723E-02 0.448482E-03 0.349966E-05 0.346667E+02 0.953553E-03 0.977677E-03 0.386427E-03 0.306000E-05 0.360000E+02 0.819042E-03 0.846993E-03 0.327974E-03 0.269253E-05 0.373333E+02 0.723458E-03 0.738149E-03 0.283549E-03 0.238800E-05 0.386667E+02 0.630565E-03 0.647506E-03 0.242722E-03 0.208891E-05 0.400000E+02 0.550093E-03 0.568759E-03 0.209019E-03 0.185330E-05 0.413333E+02 0.488322E-03 0.495196E-03 0.181930E-03 0.164711E-05 0.426667E+02 0.426624E-03 0.436127E-03 0.156243E-03 0.147022E-05 0.440000E+02 0.375984E-03 0.384345E-03 0.134499E-03 0.129501E-05 0.453333E+02 0.333219E-03 0.337667E-03 0.117481E-03 0.115347E-05 0.466667E+02 0.294513E-03 0.295797E-03 0.102576E-03 0.102618E-05 0.480000E+02 0.260882E-03 0.263332E-03 0.888489E-04 0.913362E-06 0.493333E+02 0.231482E-03 0.233969E-03 0.776427E-04 0.816696E-06 0.506667E+02 0.205914E-03 0.207291E-03 0.677567E-04 0.731534E-06 0.520000E+02 0.183237E-03 0.183543E-03 0.595329E-04 0.646729E-06 0.533333E+02 0.162850E-03 0.162764E-03 0.520354E-04 0.581205E-06 0.546667E+02 0.145769E-03 0.145585E-03 0.456664E-04 0.520439E-06 0.560000E+02 0.130544E-03 0.129015E-03 0.402264E-04 0.467188E-06 0.573333E+02 0.116430E-03 0.115680E-03 0.353136E-04 0.418062E-06 0.586667E+02 0.104032E-03 0.102990E-03 0.310132E-04 0.376286E-06 0.600000E+02 0.927041E-04 0.917494E-04 0.272121E-04 0.335782E-06 0.613333E+02 0.832715E-04 0.825755E-04 0.241602E-04 0.303035E-06 0.626667E+02 0.754594E-04 0.742227E-04 0.213736E-04 0.271888E-06 0.640000E+02 0.674447E-04 0.661514E-04 0.188733E-04 0.244480E-06 0.653333E+02 0.606461E-04 0.592651E-04 0.167259E-04 0.218563E-06 0.666667E+02 0.546396E-04 0.532844E-04 0.148110E-04 0.198045E-06 0.680000E+02 0.492939E-04 0.478034E-04 0.131435E-04 0.178397E-06 0.693333E+02 0.443450E-04 0.430270E-04 0.115969E-04 0.159803E-06 0.706667E+02 0.401068E-04 0.388405E-04 0.103188E-04 0.144435E-06 0.720000E+02 0.361008E-04 0.348123E-04 0.919289E-05 0.130464E-06 0.733333E+02 0.325929E-04 0.313457E-04 0.816832E-05 0.117412E-06 0.746667E+02 0.294316E-04 0.282498E-04 0.722409E-05 0.105386E-06 0.760000E+02 0.265445E-04 0.254704E-04 0.643606E-05 0.959163E-07 0.773333E+02 0.240282E-04 0.229902E-04 0.574350E-05 0.867825E-07 0.786667E+02 0.218157E-04 0.207180E-04 0.511531E-05 0.784336E-07 0.800000E+02 0.197322E-04 0.188634E-04 0.458203E-05 0.708379E-07 0.813333E+02 0.179703E-04 0.169490E-04 0.409295E-05 0.640249E-07 0.826667E+02 0.163459E-04 0.154173E-04 0.365738E-05 0.580544E-07 0.840000E+02 0.147832E-04 0.139003E-04 0.326931E-05 0.523138E-07 0.853333E+02 0.134363E-04 0.126287E-04 0.292896E-05 0.474076E-07 0.866667E+02 0.121820E-04 0.114418E-04 0.261962E-05 0.428514E-07 0.880000E+02 0.111026E-04 0.103876E-04 0.234947E-05 0.389445E-07 0.893333E+02 0.100359E-04 0.940694E-05 0.211726E-05 0.353971E-07 0.906667E+02 0.914718E-05 0.856113E-05 0.188715E-05 0.319476E-07 0.920000E+02 0.832437E-05 0.773236E-05 0.170218E-05 0.289209E-07 0.933333E+02 0.757636E-05 0.705797E-05 0.152403E-05 0.262119E-07 0.946667E+02 0.691331E-05 0.641649E-05 0.137533E-05 0.237971E-07 0.960000E+02 0.631107E-05 0.586126E-05 0.124210E-05 0.217334E-07 0.973333E+02 0.576364E-05 0.536312E-05 0.111748E-05 0.197055E-07 0.986667E+02 0.528790E-05 0.485544E-05 0.100673E-05 0.178797E-07 0.100000E+03 0.482404E-05 0.445830E-05 0.913232E-06 0.163198E-07 0.101333E+03 0.444176E-05 0.406661E-05 0.828783E-06 0.148432E-07 0.102667E+03 0.406872E-05 0.371611E-05 0.749455E-06 0.135949E-07 0.104000E+03 0.374422E-05 0.341617E-05 0.683376E-06 0.124191E-07 0.105333E+03 0.346060E-05 0.314714E-05 0.621147E-06 0.113664E-07 0.106667E+03 0.319582E-05 0.291710E-05 0.567375E-06 0.103906E-07 0.108000E+03 0.295282E-05 0.269607E-05 0.520956E-06 0.956337E-08 0.109333E+03 0.275539E-05 0.249139E-05 0.479915E-06 0.879743E-08 0.110667E+03 0.256236E-05 0.232144E-05 0.441862E-06 0.819342E-08 0.112000E+03 0.240501E-05 0.216991E-05 0.411344E-06 0.757041E-08 0.113333E+03 0.227712E-05 0.205353E-05 0.382632E-06 0.711028E-08 0.114667E+03 0.217040E-05 0.195405E-05 0.361009E-06 0.672549E-08 0.116000E+03 0.207188E-05 0.187173E-05 0.340454E-06 0.640282E-08 0.117333E+03 0.201335E-05 0.182101E-05 0.325239E-06 0.614309E-08 0.118667E+03 0.198371E-05 0.178791E-05 0.313477E-06 0.603893E-08 0.120000E+03 0.197292E-05 0.177548E-05 0.304641E-06 0.600721E-08 0.121333E+03 0.199900E-05 0.179117E-05 0.300611E-06 0.603222E-08 0.122667E+03 0.203820E-05 0.183429E-05 0.297605E-06 0.618232E-08 0.124000E+03 0.209985E-05 0.188501E-05 0.294973E-06 0.631126E-08 0.125333E+03 0.217403E-05 0.193196E-05 0.293208E-06 0.641590E-08 0.126667E+03 0.220091E-05 0.194880E-05 0.287809E-06 0.626053E-08 (c) y/delta = -0.5 k_z E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.563706E-01 0.127519E-01 0.799066E-01 0.259742E-03 0.133333E+01 0.985512E-01 0.313521E-01 0.809321E-01 0.380111E-03 0.266667E+01 0.177525E+00 0.411783E-01 0.772966E-01 0.358527E-03 0.400000E+01 0.130031E+00 0.387724E-01 0.612482E-01 0.233366E-03 0.533333E+01 0.108484E+00 0.337538E-01 0.454093E-01 0.163503E-03 0.666667E+01 0.716944E-01 0.288487E-01 0.349901E-01 0.112570E-03 0.800000E+01 0.527049E-01 0.253484E-01 0.260133E-01 0.869392E-04 0.933333E+01 0.391904E-01 0.211566E-01 0.193661E-01 0.684843E-04 0.106667E+02 0.288710E-01 0.175962E-01 0.148368E-01 0.541000E-04 0.120000E+02 0.221563E-01 0.147486E-01 0.110307E-01 0.434191E-04 0.133333E+02 0.165728E-01 0.121211E-01 0.867063E-02 0.351366E-04 0.146667E+02 0.131529E-01 0.105362E-01 0.676977E-02 0.286060E-04 0.160000E+02 0.106586E-01 0.890420E-02 0.536708E-02 0.239541E-04 0.173333E+02 0.855410E-02 0.747559E-02 0.424019E-02 0.199518E-04 0.186667E+02 0.690713E-02 0.625531E-02 0.342746E-02 0.168711E-04 0.200000E+02 0.581278E-02 0.523661E-02 0.279909E-02 0.142883E-04 0.213333E+02 0.481661E-02 0.447281E-02 0.226456E-02 0.122307E-04 0.226667E+02 0.392705E-02 0.380561E-02 0.185226E-02 0.103202E-04 0.240000E+02 0.332607E-02 0.323488E-02 0.153497E-02 0.893948E-05 0.253333E+02 0.280979E-02 0.277817E-02 0.126868E-02 0.776677E-05 0.266667E+02 0.235247E-02 0.235270E-02 0.105790E-02 0.668958E-05 0.280000E+02 0.202988E-02 0.203790E-02 0.888761E-03 0.587291E-05 0.293333E+02 0.173644E-02 0.173619E-02 0.749042E-03 0.507618E-05 0.306667E+02 0.148960E-02 0.151355E-02 0.631820E-03 0.442794E-05 0.320000E+02 0.128697E-02 0.130186E-02 0.535740E-03 0.386084E-05 0.333333E+02 0.110574E-02 0.112587E-02 0.455096E-03 0.339558E-05 0.346667E+02 0.964935E-03 0.978156E-03 0.386918E-03 0.297628E-05 0.360000E+02 0.844381E-03 0.855371E-03 0.330721E-03 0.263104E-05 0.373333E+02 0.728431E-03 0.745686E-03 0.283717E-03 0.231897E-05 0.386667E+02 0.644452E-03 0.648648E-03 0.243863E-03 0.205703E-05 0.400000E+02 0.559721E-03 0.568003E-03 0.210967E-03 0.180428E-05 0.413333E+02 0.494065E-03 0.496903E-03 0.181250E-03 0.160807E-05 0.426667E+02 0.431152E-03 0.436567E-03 0.157087E-03 0.142055E-05 0.440000E+02 0.381068E-03 0.387210E-03 0.135319E-03 0.125795E-05 0.453333E+02 0.337597E-03 0.341015E-03 0.118236E-03 0.111616E-05 0.466667E+02 0.298063E-03 0.298963E-03 0.102577E-03 0.999126E-06 0.480000E+02 0.265627E-03 0.263685E-03 0.896605E-04 0.888050E-06 0.493333E+02 0.234466E-03 0.232889E-03 0.780760E-04 0.794988E-06 0.506667E+02 0.207756E-03 0.207858E-03 0.682676E-04 0.707126E-06 0.520000E+02 0.185260E-03 0.184708E-03 0.598286E-04 0.632110E-06 0.533333E+02 0.164861E-03 0.164178E-03 0.522609E-04 0.564309E-06 0.546667E+02 0.147727E-03 0.145935E-03 0.459237E-04 0.507791E-06 0.560000E+02 0.131286E-03 0.129923E-03 0.403277E-04 0.452975E-06 0.573333E+02 0.117870E-03 0.115974E-03 0.354894E-04 0.408482E-06 0.586667E+02 0.105755E-03 0.103004E-03 0.312582E-04 0.365274E-06 0.600000E+02 0.949845E-04 0.922236E-04 0.276391E-04 0.327721E-06 0.613333E+02 0.848996E-04 0.825080E-04 0.243213E-04 0.294159E-06 0.626667E+02 0.761860E-04 0.740863E-04 0.214286E-04 0.264802E-06 0.640000E+02 0.685743E-04 0.658915E-04 0.190448E-04 0.238354E-06 0.653333E+02 0.615680E-04 0.591966E-04 0.167514E-04 0.214515E-06 0.666667E+02 0.551972E-04 0.531552E-04 0.148352E-04 0.192635E-06 0.680000E+02 0.499748E-04 0.477730E-04 0.131646E-04 0.173965E-06 0.693333E+02 0.449475E-04 0.428235E-04 0.117037E-04 0.156135E-06 0.706667E+02 0.405287E-04 0.385441E-04 0.103302E-04 0.140209E-06 0.720000E+02 0.365595E-04 0.348874E-04 0.924320E-05 0.127066E-06 0.733333E+02 0.330039E-04 0.314103E-04 0.815632E-05 0.114073E-06 0.746667E+02 0.299145E-04 0.283481E-04 0.729813E-05 0.103619E-06 0.760000E+02 0.269899E-04 0.255369E-04 0.649745E-05 0.930909E-07 0.773333E+02 0.243680E-04 0.230271E-04 0.577235E-05 0.840991E-07 0.786667E+02 0.221001E-04 0.207906E-04 0.515010E-05 0.761819E-07 0.800000E+02 0.199730E-04 0.187670E-04 0.460972E-05 0.687584E-07 0.813333E+02 0.181467E-04 0.169687E-04 0.410950E-05 0.620406E-07 0.826667E+02 0.163766E-04 0.153854E-04 0.366213E-05 0.559068E-07 0.840000E+02 0.149472E-04 0.139157E-04 0.328739E-05 0.507282E-07 0.853333E+02 0.135898E-04 0.126184E-04 0.293945E-05 0.459354E-07 0.866667E+02 0.123379E-04 0.114705E-04 0.263865E-05 0.415223E-07 0.880000E+02 0.112001E-04 0.103898E-04 0.236578E-05 0.377418E-07 0.893333E+02 0.101893E-04 0.940743E-05 0.212449E-05 0.342404E-07 0.906667E+02 0.930161E-05 0.854481E-05 0.191326E-05 0.310407E-07 0.920000E+02 0.845517E-05 0.776111E-05 0.171210E-05 0.281995E-07 0.933333E+02 0.769344E-05 0.705689E-05 0.154381E-05 0.255806E-07 0.946667E+02 0.702876E-05 0.645194E-05 0.138942E-05 0.231836E-07 0.960000E+02 0.641467E-05 0.587054E-05 0.125462E-05 0.210848E-07 0.973333E+02 0.588703E-05 0.533082E-05 0.113235E-05 0.192123E-07 0.986667E+02 0.537448E-05 0.488339E-05 0.101891E-05 0.173873E-07 0.100000E+03 0.491801E-05 0.446526E-05 0.925523E-06 0.159060E-07 0.101333E+03 0.452654E-05 0.407796E-05 0.837108E-06 0.144615E-07 0.102667E+03 0.414490E-05 0.373620E-05 0.759568E-06 0.132439E-07 0.104000E+03 0.381917E-05 0.343436E-05 0.693428E-06 0.120545E-07 0.105333E+03 0.351120E-05 0.316606E-05 0.627534E-06 0.110423E-07 0.106667E+03 0.325906E-05 0.291119E-05 0.575838E-06 0.101257E-07 0.108000E+03 0.300648E-05 0.269193E-05 0.527168E-06 0.930360E-08 0.109333E+03 0.279109E-05 0.249300E-05 0.484849E-06 0.857930E-08 0.110667E+03 0.261454E-05 0.233503E-05 0.448685E-06 0.792321E-08 0.112000E+03 0.245274E-05 0.218869E-05 0.416790E-06 0.737989E-08 0.113333E+03 0.232134E-05 0.206400E-05 0.388486E-06 0.687403E-08 0.114667E+03 0.220857E-05 0.195584E-05 0.365578E-06 0.650516E-08 0.116000E+03 0.212937E-05 0.188462E-05 0.346375E-06 0.620554E-08 0.117333E+03 0.207118E-05 0.183372E-05 0.330560E-06 0.598351E-08 0.118667E+03 0.203723E-05 0.180024E-05 0.321254E-06 0.584357E-08 0.120000E+03 0.203605E-05 0.179264E-05 0.312246E-06 0.580611E-08 0.121333E+03 0.204724E-05 0.180450E-05 0.307228E-06 0.585356E-08 0.122667E+03 0.211330E-05 0.184823E-05 0.306064E-06 0.600755E-08 0.124000E+03 0.217474E-05 0.191237E-05 0.304495E-06 0.615356E-08 0.125333E+03 0.223137E-05 0.195750E-05 0.302313E-06 0.620281E-08 0.126667E+03 0.225262E-05 0.196023E-05 0.294207E-06 0.610814E-08 (d) y/delta = -0.97 (opposing flow) k_z E(u+*u+) E(v+*v+) E(w+*w+) E(t+*t+) 0.000000E+00 0.577072E-01 0.121559E-03 0.130855E-01 0.332106E-04 0.133333E+01 0.731698E-01 0.250183E-03 0.167580E-01 0.458990E-04 0.266667E+01 0.140487E+00 0.270401E-03 0.272316E-01 0.722339E-04 0.400000E+01 0.112209E+00 0.283409E-03 0.224793E-01 0.546952E-04 0.533333E+01 0.126580E+00 0.315614E-03 0.228901E-01 0.575021E-04 0.666667E+01 0.128911E+00 0.352365E-03 0.228878E-01 0.556250E-04 0.800000E+01 0.140193E+00 0.404471E-03 0.224219E-01 0.576499E-04 0.933333E+01 0.149361E+00 0.474322E-03 0.225186E-01 0.594232E-04 0.106667E+02 0.139654E+00 0.539350E-03 0.217796E-01 0.552266E-04 0.120000E+02 0.144405E+00 0.624814E-03 0.211691E-01 0.550605E-04 0.133333E+02 0.143279E+00 0.722200E-03 0.205226E-01 0.531550E-04 0.146667E+02 0.143251E+00 0.808263E-03 0.194993E-01 0.517893E-04 0.160000E+02 0.127931E+00 0.867261E-03 0.175267E-01 0.457325E-04 0.173333E+02 0.118763E+00 0.922210E-03 0.159898E-01 0.417215E-04 0.186667E+02 0.110020E+00 0.989703E-03 0.146265E-01 0.382896E-04 0.200000E+02 0.961606E-01 0.100361E-02 0.128331E-01 0.331424E-04 0.213333E+02 0.888998E-01 0.106203E-02 0.117047E-01 0.301779E-04 0.226667E+02 0.781170E-01 0.105095E-02 0.100874E-01 0.263104E-04 0.240000E+02 0.705242E-01 0.105992E-02 0.894874E-02 0.235960E-04 0.253333E+02 0.631647E-01 0.106041E-02 0.779745E-02 0.208857E-04 0.266667E+02 0.540419E-01 0.102349E-02 0.672645E-02 0.178186E-04 0.280000E+02 0.488450E-01 0.102791E-02 0.602188E-02 0.159595E-04 0.293333E+02 0.445230E-01 0.101790E-02 0.532503E-02 0.143534E-04 0.306667E+02 0.387345E-01 0.976250E-03 0.462302E-02 0.124238E-04 0.320000E+02 0.335742E-01 0.931459E-03 0.399435E-02 0.107398E-04 0.333333E+02 0.299230E-01 0.900589E-03 0.349821E-02 0.945839E-05 0.346667E+02 0.262464E-01 0.859218E-03 0.305182E-02 0.827663E-05 0.360000E+02 0.235393E-01 0.828750E-03 0.269638E-02 0.734897E-05 0.373333E+02 0.205864E-01 0.784701E-03 0.235450E-02 0.638205E-05 0.386667E+02 0.184615E-01 0.757388E-03 0.208754E-02 0.567161E-05 0.400000E+02 0.163137E-01 0.710020E-03 0.182311E-02 0.497585E-05 0.413333E+02 0.144515E-01 0.670217E-03 0.160558E-02 0.436689E-05 0.426667E+02 0.126430E-01 0.633610E-03 0.141023E-02 0.382057E-05 0.440000E+02 0.113454E-01 0.593316E-03 0.123670E-02 0.339830E-05 0.453333E+02 0.100230E-01 0.557781E-03 0.109401E-02 0.298686E-05 0.466667E+02 0.898963E-02 0.533030E-03 0.982056E-03 0.265504E-05 0.480000E+02 0.801814E-02 0.498452E-03 0.866994E-03 0.235901E-05 0.493333E+02 0.716567E-02 0.463894E-03 0.760180E-03 0.209446E-05 0.506667E+02 0.635103E-02 0.435974E-03 0.681219E-03 0.184642E-05 0.520000E+02 0.570825E-02 0.405142E-03 0.604693E-03 0.165181E-05 0.533333E+02 0.506859E-02 0.380126E-03 0.536763E-03 0.145944E-05 0.546667E+02 0.449520E-02 0.349968E-03 0.473784E-03 0.128324E-05 0.560000E+02 0.407151E-02 0.327815E-03 0.425173E-03 0.115752E-05 0.573333E+02 0.368803E-02 0.307281E-03 0.383736E-03 0.104014E-05 0.586667E+02 0.333497E-02 0.284445E-03 0.339766E-03 0.929691E-06 0.600000E+02 0.296685E-02 0.264980E-03 0.304833E-03 0.827098E-06 0.613333E+02 0.270737E-02 0.248067E-03 0.275007E-03 0.743262E-06 0.626667E+02 0.247170E-02 0.230309E-03 0.248735E-03 0.671874E-06 0.640000E+02 0.220902E-02 0.215363E-03 0.222472E-03 0.603315E-06 0.653333E+02 0.197429E-02 0.199855E-03 0.200588E-03 0.536745E-06 0.666667E+02 0.182464E-02 0.184392E-03 0.179561E-03 0.491801E-06 0.680000E+02 0.165098E-02 0.171045E-03 0.161742E-03 0.440938E-06 0.693333E+02 0.148713E-02 0.160045E-03 0.147102E-03 0.394829E-06 0.706667E+02 0.135784E-02 0.148895E-03 0.132947E-03 0.359988E-06 0.720000E+02 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-0.745414E-02 0.593957E+01 -0.659232E-02 -0.111428E-01 -0.124164E-01 -0.709465E-02 0.598866E+01 -0.627713E-02 -0.112270E-01 -0.125006E-01 -0.682237E-02 0.603775E+01 -0.598534E-02 -0.108624E-01 -0.124848E-01 -0.651436E-02 0.608684E+01 -0.576800E-02 -0.110758E-01 -0.125950E-01 -0.637008E-02 0.613592E+01 -0.559546E-02 -0.109393E-01 -0.125885E-01 -0.629853E-02 0.618501E+01 -0.549626E-02 -0.111731E-01 -0.126456E-01 -0.638743E-02 0.623410E+01 -0.542759E-02 -0.110197E-01 -0.125967E-01 -0.643062E-02 (b) y/delta= 0.5 x/delta R(uu) R(vv) R(ww) R(tt) 0.000000E+00 0.100000E+01 0.100000E+01 0.100000E+01 0.100000E+01 0.490874E-01 0.953876E+00 0.828355E+00 0.852525E+00 0.888171E+00 0.981748E-01 0.867800E+00 0.572970E+00 0.619665E+00 0.727414E+00 0.147262E+00 0.781377E+00 0.379641E+00 0.429530E+00 0.598695E+00 0.196350E+00 0.703877E+00 0.249923E+00 0.291583E+00 0.504867E+00 0.245437E+00 0.637130E+00 0.166996E+00 0.196946E+00 0.435042E+00 0.294524E+00 0.579745E+00 0.112463E+00 0.131138E+00 0.382811E+00 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0.486107E-02 -0.194989E-01 -0.894497E-02 0.204234E-01 0.549779E+01 0.506408E-02 -0.184890E-01 -0.769713E-02 0.197852E-01 0.554687E+01 0.535165E-02 -0.169055E-01 -0.630256E-02 0.195755E-01 0.559596E+01 0.551036E-02 -0.161164E-01 -0.530782E-02 0.190346E-01 0.564505E+01 0.563551E-02 -0.153622E-01 -0.403780E-02 0.192960E-01 0.569414E+01 0.557367E-02 -0.154382E-01 -0.325896E-02 0.192981E-01 0.574322E+01 0.546677E-02 -0.151177E-01 -0.250849E-02 0.198927E-01 0.579231E+01 0.515567E-02 -0.152485E-01 -0.260686E-02 0.198110E-01 0.584140E+01 0.487470E-02 -0.146831E-01 -0.243747E-02 0.200096E-01 0.589049E+01 0.461288E-02 -0.148537E-01 -0.239245E-02 0.195191E-01 0.593957E+01 0.458114E-02 -0.150273E-01 -0.157417E-02 0.193838E-01 0.598866E+01 0.460652E-02 -0.158625E-01 -0.607632E-03 0.187129E-01 0.603775E+01 0.476456E-02 -0.159699E-01 0.113929E-02 0.186562E-01 0.608684E+01 0.487174E-02 -0.160705E-01 0.277369E-02 0.183152E-01 0.613592E+01 0.504343E-02 -0.151742E-01 0.470994E-02 0.186155E-01 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-0.129294E-01 0.225802E+01 -0.680738E-02 -0.379368E-02 -0.883631E-02 -0.132337E-01 0.228256E+01 -0.675246E-02 -0.226494E-02 -0.835291E-02 -0.132310E-01 0.230711E+01 -0.638871E-02 -0.131922E-02 -0.779566E-02 -0.130413E-01 0.233165E+01 -0.591146E-02 0.164336E-04 -0.732196E-02 -0.127795E-01 (b) y/delta = 0.5 z/delta R(uu) R(vv) R(ww) R(tt) 0.000000E+00 0.100000E+01 0.100000E+01 0.100000E+01 0.100000E+01 0.245437E-01 0.976248E+00 0.951091E+00 0.979565E+00 0.973093E+00 0.490874E-01 0.915972E+00 0.832112E+00 0.925748E+00 0.908156E+00 0.736311E-01 0.837256E+00 0.688568E+00 0.852850E+00 0.829870E+00 0.981748E-01 0.752114E+00 0.548950E+00 0.772397E+00 0.751911E+00 0.122718E+00 0.666861E+00 0.425349E+00 0.691415E+00 0.679185E+00 0.147262E+00 0.584779E+00 0.321172E+00 0.613768E+00 0.612928E+00 0.171806E+00 0.507506E+00 0.235707E+00 0.541416E+00 0.552987E+00 0.196350E+00 0.435850E+00 0.166742E+00 0.475229E+00 0.498826E+00 0.220893E+00 0.370104E+00 0.111658E+00 0.415443E+00 0.449797E+00 0.245437E+00 0.310280E+00 0.680316E-01 0.361931E+00 0.405302E+00 0.269981E+00 0.256204E+00 0.337373E-01 0.314361E+00 0.364812E+00 0.294524E+00 0.207601E+00 0.698098E-02 0.272294E+00 0.327878E+00 0.319068E+00 0.164134E+00 -0.137203E-01 0.235250E+00 0.294120E+00 0.343612E+00 0.125433E+00 -0.295814E-01 0.202747E+00 0.263216E+00 0.368155E+00 0.911131E-01 -0.415619E-01 0.174323E+00 0.234903E+00 0.392699E+00 0.607754E-01 -0.504460E-01 0.149542E+00 0.208930E+00 0.417243E+00 0.340456E-01 -0.568204E-01 0.128001E+00 0.185082E+00 0.441786E+00 0.105510E-01 -0.611816E-01 0.109318E+00 0.163155E+00 0.466330E+00 -0.100432E-01 -0.639069E-01 0.931407E-01 0.142997E+00 0.490874E+00 -0.280455E-01 -0.653488E-01 0.791431E-01 0.124454E+00 0.515418E+00 -0.437034E-01 -0.657710E-01 0.670427E-01 0.107415E+00 0.539961E+00 -0.572486E-01 -0.654463E-01 0.565860E-01 0.917544E-01 0.564505E+00 -0.688669E-01 -0.645742E-01 0.475534E-01 0.773785E-01 0.589049E+00 -0.787387E-01 -0.633737E-01 0.397455E-01 0.641804E-01 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0.203713E+01 -0.387496E-01 -0.209656E-01 0.113033E-01 -0.423745E-01 0.206167E+01 -0.394136E-01 -0.199973E-01 0.118103E-01 -0.417716E-01 0.208621E+01 -0.400032E-01 -0.189088E-01 0.122790E-01 -0.411779E-01 0.211076E+01 -0.405301E-01 -0.177691E-01 0.127096E-01 -0.406173E-01 0.213530E+01 -0.409912E-01 -0.165976E-01 0.130987E-01 -0.400908E-01 0.215984E+01 -0.414002E-01 -0.154634E-01 0.134344E-01 -0.396287E-01 0.218439E+01 -0.417427E-01 -0.143923E-01 0.137144E-01 -0.392349E-01 0.220893E+01 -0.420197E-01 -0.134563E-01 0.139389E-01 -0.389351E-01 0.223348E+01 -0.422142E-01 -0.126608E-01 0.141200E-01 -0.387296E-01 0.225802E+01 -0.423349E-01 -0.120268E-01 0.142653E-01 -0.386265E-01 0.228256E+01 -0.423820E-01 -0.115254E-01 0.143833E-01 -0.385862E-01 0.230711E+01 -0.423900E-01 -0.111796E-01 0.144718E-01 -0.385822E-01 0.233165E+01 -0.423770E-01 -0.109631E-01 0.145288E-01 -0.385771E-01 (c) y/delta = -0.5 z/delta R(uu) R(vv) R(ww) R(tt) 0.000000E+00 0.100000E+01 0.100000E+01 0.100000E+01 0.100000E+01 0.245437E-01 0.975136E+00 0.951407E+00 0.979336E+00 0.972057E+00 0.490874E-01 0.912095E+00 0.833148E+00 0.924896E+00 0.904647E+00 0.736311E-01 0.829877E+00 0.690418E+00 0.851112E+00 0.823457E+00 0.981748E-01 0.741084E+00 0.551621E+00 0.769630E+00 0.742718E+00 0.122718E+00 0.652298E+00 0.428859E+00 0.687562E+00 0.667537E+00 0.147262E+00 0.566892E+00 0.325557E+00 0.608826E+00 0.599202E+00 0.171806E+00 0.486512E+00 0.241011E+00 0.535413E+00 0.537551E+00 0.196350E+00 0.411932E+00 0.172997E+00 0.468199E+00 0.482006E+00 0.220893E+00 0.343414E+00 0.118826E+00 0.407419E+00 0.431885E+00 0.245437E+00 0.280967E+00 0.759511E-01 0.352945E+00 0.386584E+00 0.269981E+00 0.224421E+00 0.421339E-01 0.304454E+00 0.345560E+00 0.294524E+00 0.173511E+00 0.155158E-01 0.261516E+00 0.308333E+00 0.319068E+00 0.127917E+00 -0.541885E-02 0.223661E+00 0.274479E+00 0.343612E+00 0.873007E-01 -0.218971E-01 0.190404E+00 0.243623E+00 0.368155E+00 0.513322E-01 -0.348519E-01 0.161280E+00 0.215452E+00 0.392699E+00 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0.218439E+01 0.427827E-01 -0.124138E-01 0.111070E-02 -0.172088E-01 0.220893E+01 0.449716E-01 -0.121821E-01 0.122788E-02 -0.163173E-01 0.223348E+01 0.468315E-01 -0.120510E-01 0.136706E-02 -0.155025E-01 0.225802E+01 0.483424E-01 -0.120442E-01 0.151154E-02 -0.148045E-01 0.228256E+01 0.495085E-01 -0.121121E-01 0.164969E-02 -0.142475E-01 0.230711E+01 0.503207E-01 -0.122323E-01 0.176488E-02 -0.138685E-01 0.233165E+01 0.508003E-01 -0.123274E-01 0.184476E-02 -0.136504E-01 (d) y/delta = -0.97 z/delta R(uu) R(vv) R(ww) R(tt) 0.000000E+00 0.100000E+01 0.100000E+01 0.100000E+01 0.100000E+01 0.245437E-01 0.875459E+00 0.604669E+00 0.899143E+00 0.896607E+00 0.490874E-01 0.605664E+00 0.356933E-01 0.670731E+00 0.663886E+00 0.736311E-01 0.332768E+00 -0.216793E+00 0.426620E+00 0.417156E+00 0.981748E-01 0.123279E+00 -0.240464E+00 0.226762E+00 0.217714E+00 0.122718E+00 -0.115420E-01 -0.178587E+00 0.871736E-01 0.805193E-01 0.147262E+00 -0.851018E-01 -0.112835E+00 0.134034E-02 -0.247556E-02 0.171806E+00 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0.505998E-02 0.148864E-02 0.196350E+01 0.659599E-02 -0.155611E-02 0.671681E-02 0.429337E-02 0.198804E+01 0.954445E-02 -0.595743E-03 0.844062E-02 0.713030E-02 0.201258E+01 0.122583E-01 -0.521401E-03 0.999011E-02 0.974873E-02 0.203713E+01 0.146055E-01 -0.156899E-03 0.112879E-01 0.120296E-01 0.206167E+01 0.162888E-01 -0.419626E-03 0.122032E-01 0.137545E-01 0.208621E+01 0.173434E-01 -0.345260E-03 0.127188E-01 0.149117E-01 0.211076E+01 0.176796E-01 -0.115996E-02 0.127891E-01 0.154726E-01 0.213530E+01 0.174797E-01 -0.194705E-02 0.125819E-01 0.155794E-01 0.215984E+01 0.168130E-01 -0.318629E-02 0.122874E-01 0.153273E-01 0.218439E+01 0.160910E-01 -0.339980E-02 0.121724E-01 0.150018E-01 0.220893E+01 0.154896E-01 -0.324947E-02 0.122848E-01 0.147447E-01 0.223348E+01 0.152030E-01 -0.196154E-02 0.126425E-01 0.146821E-01 0.225802E+01 0.149537E-01 -0.136609E-02 0.130786E-01 0.146617E-01 0.228256E+01 0.146444E-01 -0.872571E-03 0.135199E-01 0.146200E-01 0.230711E+01 0.141425E-01 -0.121134E-02 0.138311E-01 0.144656E-01 0.233165E+01 0.137338E-01 -0.111711E-02 0.140183E-01 0.143260E-01 5. References 5.1 Wu, H., and Kasagi, N., "Effects of arbitrary directional system rotation on turbulent channel flow," Phys. Fluids, Vol. 16, pp. 979-990 (2004). 5.2 Wu, H., and Kasagi, N., "Turbulent Heat Transfer in A Channel Flow with Arbitrary Directional System rotation," Int. J. Heat Mass Transfer, Vol. 47, pp. 4579-4591 (2004).