NUMERICAL SIMULATIONS OF A PASSIVE SCALAR TRANSPORT IN A JET FLOW

21
NUMERICAL SIMULATIONS OF A PASSIVE SCALAR TRANSPORT IN A JET FLOW école n atio nale d 'ing én ieu rs de T u nis س نو ت ب ن ي سد ن ه م ل ل ة ي ن ط و ل ا ة س ر د م ل اLaboratoire de Modélisation en Hydraulique et Environnement Prepared by : Nabil MRABTI Presented by : Zouhaier HAFSIA

description

NUMERICAL SIMULATIONS OF A PASSIVE SCALAR TRANSPORT IN A JET FLOW. L aboratoire de M odélisation en H ydraulique et E nvironnement. Prepared by : Nabil MRABTI Presented by : Zouhaier HAFSIA. Plan. Introduction. Mathematical model (chen profile at the inlet). - PowerPoint PPT Presentation

Transcript of NUMERICAL SIMULATIONS OF A PASSIVE SCALAR TRANSPORT IN A JET FLOW

  • NUMERICAL SIMULATIONS OF A PASSIVE SCALAR TRANSPORT IN A JET FLOW Laboratoire de Modlisation en Hydraulique et EnvironnementPrepared by :Nabil MRABTIPresented by : Zouhaier HAFSIA

  • PlanIntroduction.Mathematical model (chen profile at the inlet).Numerical results.Conclusions.Rodi adjusments of the standard k- constants

  • INTRODUCTION It is necessary to validate the transport model in a simple case : monophasic jet, for example An important progress was made in the CFD It is possible to simulate a very large varieties of flow transport processesWe use the CFD code PHOENICS for numerical simulations.Since 1980, Rodi showed that the constants of the (k-eps) model depends on the decelaration of axial velocityNumerical results are compared to experimental data of Hu (2000) associated with the establishment zone of the jet flow.Chen in 1979 adjust turbulence intensity at the inlet of the jet flow with Gaussian profile

  • THE JET FLOW PARAMETERSD= 30 mm; Win = 0.20 m/s

  • GOVERNING EQUATIONS- equation :- Mass conservation For a stationary single-phase flow and with no buoyancy for a quasi-parallel flow having axial symmetry, the transport equations is :- Momentum - Scalar transport equation :- Kinetic equation :

  • The model in its form described previously has been applied with success in a lot of type of flow but the universality of its constants cannot be expected. The field of application of this model can be extended thus if its constants are substituted by functions of parameters of the flow. In this context comes the setting of Rodi and al. (1980) relative to jet flows which the constants are replaced by the equations: : Maximal velocity : (c: center and e: ambient fluid)The manipulation of the constants of the model can be done by the technique "PLANT" relative to PHOENICS. PLANT is an attachment to the PHOENICS-SATELLITE that allows the users to place in their files of entry, the formulas for which it cannot have an equivalent there in the source program.

  • Wc is the longitudinal mean velocity on the axis of the jet and is the width of the jet when the W is equal to 1%. The gradient of velocity term is approximated by :RODI ADJUSMENTSThus, we can modify the term directly source of the dissipation rate while substituting, in the expression of, by:

  • BOUNDARY CONDITIONS :- Standard inlet conditions :- For a plane of symetry :For the kinetic energy and the dissipation rate at the inlet :- Chen profile at inlet (gaussian profile ) :These two coefficients are adjusted numerically in order to reproduce the experimental data.

  • Longitudinal variation of

    Graph1

    0.09

    0.0882993

    0.0879686

    0.0877169

    0.0874886

    0.0872752

    0.0870835

    0.0869234

    0.0868023

    0.0867203

    0.0867214

    0.0867025

    0.0867044

    0.0867216

    0.0867499

    0.0867838

    0.0868203

    0.0868589

    0.0868988

    0.0869378

    0.0869777

    0.0870166

    0.0870867

    0.0871209

    0.0871538

    0.0872155

    0.0872452

    0.0872736

    0.0873279

    0.0873517

    0.0874027

    0.0874247

    0.0874717

    0.0874913

    0.0875325

    0.0875485

    0.0875652

    0.0876029

    0.0876181

    0.0876551

    0.087667

    0.0877002

    0.0877122

    0.0877424

    0.0877514

    0.0877808

    0.0878089

    0.0878144

    0.0878381

    0.0878428

    0.0878634

    0.0878815

    0.0878964

    0.0879097

    0.0879026

    0.0879076

    0.0879098

    0.0879264

    0.0879365

    0.0879365

    Modle de Rodi

    Z/D

    C

    Feuil1

    Le facteur Cmu

    ZZ/DCmu

    7.50E-030.2509.00E-02

    2.25E-020.7508.83E-02

    3.75E-021.2508.80E-02

    5.25E-021.7508.77E-02

    6.75E-022.2508.75E-02

    8.25E-022.7508.73E-02

    9.75E-023.2508.71E-02

    1.13E-013.7508.69E-02

    1.28E-014.2508.68E-02

    1.43E-014.7508.67E-02

    1.58E-015.2508.67E-02

    1.73E-015.7508.67E-02

    1.88E-016.2508.67E-02

    2.03E-016.7508.67E-02

    2.18E-017.2508.67E-02

    2.33E-017.7508.68E-02

    2.48E-018.2508.68E-02

    2.63E-018.7508.69E-02

    2.78E-019.2508.69E-02

    2.93E-019.7508.69E-02

    3.08E-0110.2508.70E-02

    3.23E-0110.7508.70E-02

    3.38E-0111.2508.71E-02

    3.53E-0111.7508.71E-02

    3.68E-0112.2508.72E-02

    3.83E-0112.7508.72E-02

    3.98E-0113.2508.72E-02

    4.13E-0113.7508.73E-02

    4.28E-0114.2508.73E-02

    4.43E-0114.7508.74E-02

    4.58E-0115.2508.74E-02

    4.73E-0115.7508.74E-02

    4.88E-0116.2508.75E-02

    5.03E-0116.7508.75E-02

    5.18E-0117.2508.75E-02

    5.33E-0117.7508.75E-02

    5.48E-0118.2508.76E-02

    5.63E-0118.7508.76E-02

    5.78E-0119.2508.76E-02

    5.93E-0119.7508.77E-02

    6.08E-0120.2508.77E-02

    6.23E-0120.7508.77E-02

    6.38E-0121.2508.77E-02

    6.53E-0121.7508.77E-02

    6.68E-0122.2508.78E-02

    6.83E-0122.7508.78E-02

    6.98E-0123.2508.78E-02

    7.13E-0123.7508.78E-02

    7.28E-0124.2508.78E-02

    7.43E-0124.7508.78E-02

    7.58E-0125.2508.79E-02

    7.73E-0125.7508.79E-02

    7.88E-0126.2508.79E-02

    8.03E-0126.7508.79E-02

    8.18E-0127.2508.79E-02

    8.33E-0127.7508.79E-02

    8.48E-0128.2508.79E-02

    8.63E-0128.7508.79E-02

    8.78E-0129.2508.79E-02

    8.93E-0129.7508.79E-02

    Feuil1

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Modle de Rodi

    Z/D

    Cmu

    Feuil2

    Feuil3

  • Longitudinal variation of

    Graph3

    1.92

    1.91717

    1.91662

    1.9162

    1.91581

    1.91546

    1.91514

    1.91487

    1.91467

    1.91453

    1.91453

    1.9145

    1.9145

    1.91453

    1.91458

    1.91463

    1.9147

    1.91476

    1.91483

    1.91489

    1.91496

    1.91502

    1.91514

    1.9152

    1.91525

    1.91536

    1.91541

    1.9155

    1.91554

    1.91558

    1.91567

    1.9157

    1.91578

    1.91581

    1.91588

    1.91591

    1.91594

    1.916

    1.91603

    1.91609

    1.91611

    1.91616

    1.91618

    1.91623

    1.91625

    1.9163

    1.91634

    1.91636

    1.9164

    1.9164

    1.91644

    1.91647

    1.91649

    1.91651

    1.91653

    1.91654

    1.91654

    1.91654

    1.91656

    1.91656

    Modle de Rodi

    Z/D

    C2

    Feuil1

    Le facteur Cmu

    ZZ/DCmu

    7.50E-030.2501.92E+00

    2.25E-020.7501.92E+00

    3.75E-021.2501.92E+00

    5.25E-021.7501.92E+00

    6.75E-022.2501.92E+00

    8.25E-022.7501.92E+00

    9.75E-023.2501.92E+00

    1.13E-013.7501.91E+00

    1.28E-014.2501.91E+00

    1.43E-014.7501.91E+00

    1.58E-015.2501.91E+00

    1.73E-015.7501.91E+00

    1.88E-016.2501.91E+00

    2.03E-016.7501.91E+00

    2.18E-017.2501.91E+00

    2.33E-017.7501.91E+00

    2.48E-018.2501.91E+00

    2.63E-018.7501.91E+00

    2.78E-019.2501.91E+00

    2.93E-019.7501.91E+00

    3.08E-0110.2501.91E+00

    3.23E-0110.7501.92E+00

    3.38E-0111.2501.92E+00

    3.53E-0111.7501.92E+00

    3.68E-0112.2501.92E+00

    3.83E-0112.7501.92E+00

    3.98E-0113.2501.92E+00

    4.13E-0113.7501.92E+00

    4.28E-0114.2501.92E+00

    4.43E-0114.7501.92E+00

    4.58E-0115.2501.92E+00

    4.73E-0115.7501.92E+00

    4.88E-0116.2501.92E+00

    5.03E-0116.7501.92E+00

    5.18E-0117.2501.92E+00

    5.33E-0117.7501.92E+00

    5.48E-0118.2501.92E+00

    5.63E-0118.7501.92E+00

    5.78E-0119.2501.92E+00

    5.93E-0119.7501.92E+00

    6.08E-0120.2501.92E+00

    6.23E-0120.7501.92E+00

    6.38E-0121.2501.92E+00

    6.53E-0121.7501.92E+00

    6.68E-0122.2501.92E+00

    6.83E-0122.7501.92E+00

    6.98E-0123.2501.92E+00

    7.13E-0123.7501.92E+00

    7.28E-0124.2501.92E+00

    7.43E-0124.7501.92E+00

    7.58E-0125.2501.92E+00

    7.73E-0125.7501.92E+00

    7.88E-0126.2501.92E+00

    8.03E-0126.7501.92E+00

    8.18E-0127.2501.92E+00

    8.33E-0127.7501.92E+00

    8.48E-0128.2501.92E+00

    8.63E-0128.7501.92E+00

    8.78E-0129.2501.92E+00

    8.93E-0129.7501.92E+00

    Feuil1

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Modle de Rodi

    Z/D

    C2e

    Feuil2

    Feuil3

  • Fig. 4 : Velocity Profile at: Z=2D.Mean velocity profiles

    Graph1

    10.998530.99979

    10.9982450.999735

    0.9976740.9975950.99961

    0.9976740.9964150.99936

    0.9837210.9944450.9989

    0.9697670.9912950.998065

    0.9348840.9864650.99657

    0.8860470.9794050.99396

    0.858140.9695750.989565

    0.8093020.95650.98255

    0.7395350.939810.97197

    0.6767440.9192850.956945

    0.60.8948550.936735

    0.5302330.866620.910895

    0.320930.8348450.87931

    0.258140.7999350.84227

    0.1883720.762410.80041

    0.1465120.7228850.754645

    0.06976740.6820250.70612

    0.04186050.640520.65607

    0.0279070.599020.61936

    0.0279070.558110.5968

    0.0279070.518250.574435

    0.01395350.47976850.55235

    0.01395350.4428850.530605

    0.01395350.4225710.516545

    0.006976740.4114940.503165

    0.38995850.477081

    0.3590970.439559

    0.3205060.3925295

    0.276130.3384685

    0.22867050.2801215

    0.1810320.2214245

    0.13560150.1658455

    0.0943820.1157665

    0.05898250.072981

    0.03079110.03890795

    0.01146250.01514505

    0.002348470.00331567

    0.00026391450.000386379

    0.00002226770.0000326646

    0.00000178870.0000025909

    0.0000001450.0000002071

    0.00000001190.0000000168

    0.0000000010.0000000014

    0.00000000010.0000000001

    00

    00

    exp de Hui Hu

    (k-e)

    (k-e) modified

    Y/D

    W1/Win

    2D

    YW1

    3.00E-042.00E-010.0101.000.0001.000

    9.00E-042.00E-010.0301.000.0851.000

    1.50E-032.00E-010.0501.000.1690.998

    2.10E-031.99E-010.0701.000.2200.998

    2.70E-031.99E-010.0900.990.2800.984

    3.30E-031.98E-010.1100.990.3220.970

    3.90E-031.97E-010.1300.990.3390.935

    4.50E-031.96E-010.1500.980.3730.886

    5.10E-031.94E-010.1700.970.3900.858

    5.70E-031.91E-010.1900.960.4070.809

    6.30E-031.88E-010.2100.940.4240.740

    6.90E-031.84E-010.2300.920.4320.677

    7.50E-031.79E-010.2500.890.4580.600

    8.10E-031.73E-010.2700.870.4750.530

    8.70E-031.67E-010.2900.830.5250.321

    9.30E-031.60E-010.3100.800.5340.258

    9.90E-031.52E-010.3300.760.5510.188

    1.05E-021.45E-010.3500.720.5760.147

    1.11E-021.36E-010.3700.680.6270.070

    1.17E-021.28E-010.3900.640.6780.042

    1.23E-021.20E-010.4100.600.7800.028

    1.29E-021.12E-010.4300.560.8900.028

    1.35E-021.04E-010.4500.520.9830.028

    1.41E-029.60E-020.4700.481.0760.014

    1.47E-028.86E-020.4900.441.1860.014

    1.50E-028.45E-020.5020.421.2970.014

    1.52E-028.23E-020.5080.411.8390.007

    1.56E-027.80E-020.5200.39

    1.62E-027.18E-020.5390.36

    1.69E-026.41E-020.5640.32

    1.79E-025.52E-020.5960.28

    1.90E-024.57E-020.6330.23

    2.03E-023.62E-020.6770.18

    2.18E-022.71E-020.7280.14

    2.35E-021.89E-020.7840.09

    2.54E-021.18E-020.8470.06

    2.75E-026.16E-030.9160.03

    2.97E-022.29E-030.9910.01

    3.22E-024.70E-041.0730.00

    3.48E-025.28E-051.1610.00

    3.77E-024.45E-061.2550.00

    4.07E-023.58E-071.3560.00

    4.39E-022.90E-081.4630.00

    4.73E-022.39E-091.5760.00

    5.08E-022.00E-101.6950.00

    5.46E-021.73E-111.8210.00

    5.86E-021.63E-121.9520.00

    6.27E-022.70E-132.0910.00

    Ajustement de CHENAjustement de CHEN et Rodi

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-042.00E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-032.00E-010.0341.00

    1.69E-032.00E-010.0561.001.69E-032.00E-010.0561.00

    2.36E-032.00E-010.0791.002.36E-032.00E-010.0791.00

    3.04E-032.00E-010.1011.003.04E-032.00E-010.1011.00

    3.71E-032.00E-010.1241.003.71E-031.99E-010.1241.00

    4.39E-031.99E-010.1461.004.39E-031.99E-010.1460.99

    5.06E-031.99E-010.1690.995.06E-031.98E-010.1690.99

    5.74E-031.98E-010.1910.995.74E-031.97E-010.1910.99

    6.41E-031.97E-010.2140.986.41E-031.95E-010.2140.98

    7.09E-031.94E-010.2360.977.09E-031.93E-010.2360.96

    7.76E-031.91E-010.2590.967.76E-031.90E-010.2590.95

    8.44E-031.87E-010.2810.948.44E-031.85E-010.2810.93

    9.11E-031.82E-010.3040.919.11E-031.80E-010.3040.90

    9.79E-031.76E-010.3260.889.79E-031.74E-010.3260.87

    1.05E-021.68E-010.3490.841.05E-021.67E-010.3490.83

    1.11E-021.60E-010.3710.801.11E-021.59E-010.3710.79

    1.18E-021.51E-010.3940.751.18E-021.50E-010.3940.75

    1.25E-021.41E-010.4160.711.25E-021.41E-010.4160.71

    1.32E-021.31E-010.4390.661.32E-021.32E-010.4390.66

    1.37E-021.24E-010.4550.621.37E-021.25E-010.4550.63

    1.40E-021.19E-010.4650.601.40E-021.21E-010.4650.60

    1.43E-021.15E-010.4750.571.43E-021.17E-010.4750.58

    1.46E-021.10E-010.4850.551.46E-021.13E-010.4850.56

    1.49E-021.06E-010.4950.531.49E-021.09E-010.4950.54

    1.50E-021.03E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.01E-010.5080.501.52E-021.04E-010.5080.52

    1.56E-029.54E-020.5200.481.56E-029.87E-020.5200.49

    1.62E-028.79E-020.5390.441.62E-029.17E-020.5390.46

    1.69E-027.85E-020.5640.391.69E-028.28E-020.5640.41

    1.79E-026.77E-020.5960.341.79E-027.25E-020.5960.36

    1.90E-025.60E-020.6330.281.90E-026.14E-020.6330.31

    2.03E-024.43E-020.6770.222.03E-025.01E-020.6770.25

    2.18E-023.32E-020.7280.172.18E-023.88E-020.7280.19

    2.35E-022.32E-020.7840.122.35E-022.86E-020.7840.11

    2.54E-021.46E-020.8470.072.54E-021.81E-020.8470.05

    2.75E-027.78E-030.9160.042.75E-022.69E-030.9160.01

    2.97E-023.03E-030.9910.022.97E-022.74E-030.9910.01

    3.22E-026.63E-041.0730.003.22E-022.78E-031.0730.01

    3.48E-027.73E-051.1610.003.48E-022.83E-031.1610.01

    3.77E-026.53E-061.2550.003.77E-022.88E-031.2550.01

    4.07E-025.18E-071.3560.004.07E-022.92E-031.3560.01

    4.39E-024.14E-081.4630.004.39E-022.96E-031.4630.01

    4.73E-023.36E-091.5760.004.73E-023.00E-031.5760.02

    5.08E-022.78E-101.6950.005.08E-023.03E-031.6950.02

    5.46E-022.36E-111.8210.005.46E-023.06E-031.8210.02

    5.86E-022.15E-121.9520.005.86E-023.08E-031.9520.02

    6.27E-023.13E-132.0910.006.27E-023.10E-032.0910.02

    2D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    exp

    Modle k-e standard

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    3D

    YW1

    3.00E-041.97E-010.0100.990.0001.000

    9.00E-041.97E-010.0300.980.1181.000

    1.50E-031.96E-010.0500.980.1930.985

    2.10E-031.95E-010.0700.980.2270.957

    2.70E-031.94E-010.0900.970.2610.929

    3.30E-031.92E-010.1100.960.3030.894

    3.90E-031.89E-010.1300.940.3280.846

    4.50E-031.86E-010.1500.930.3530.783

    5.10E-031.82E-010.1700.910.3870.727

    5.70E-031.78E-010.1900.890.4120.686

    6.30E-031.74E-010.2100.870.4290.623

    6.90E-031.69E-010.2300.850.4540.553

    7.50E-031.64E-010.2500.820.4870.498

    8.10E-031.58E-010.2700.790.5630.324

    8.70E-031.53E-010.2900.760.5880.268

    9.30E-031.47E-010.3100.730.6130.226

    9.90E-031.41E-010.3300.700.6550.205

    1.05E-021.35E-010.3500.670.6970.178

    1.11E-021.28E-010.3700.640.7480.143

    1.17E-021.22E-010.3900.610.7980.115

    1.23E-021.16E-010.4100.580.8400.095

    1.29E-021.10E-010.4300.550.8910.081

    1.35E-021.04E-010.4500.520.9500.060

    1.41E-029.84E-020.4700.491.0080.033

    1.47E-029.29E-020.4900.461.1010.033

    1.50E-028.97E-020.5020.451.2020.027

    1.52E-028.80E-020.5080.441.3110.027

    1.56E-028.47E-020.5200.421.4200.028

    1.62E-027.99E-020.5390.401.8320.016

    1.69E-027.37E-020.5640.37

    1.79E-026.64E-020.5960.33

    1.90E-025.84E-020.6330.29

    2.03E-024.98E-020.6770.25

    2.18E-024.11E-020.7280.21

    2.35E-023.27E-020.7840.16

    2.54E-022.49E-020.8470.12

    2.75E-021.79E-020.9160.09

    2.97E-021.18E-020.9910.06

    3.22E-026.88E-031.0730.03

    3.48E-023.22E-031.1610.02

    3.77E-029.90E-041.2550.00

    4.07E-021.61E-041.3560.00

    4.39E-021.61E-051.4630.00

    4.73E-021.36E-061.5760.00

    5.08E-021.14E-071.6950.00

    5.46E-029.68E-091.8210.00

    5.86E-028.40E-101.9520.00

    6.27E-027.45E-112.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-041.99E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-031.99E-010.0341.00

    1.69E-031.99E-010.0561.001.69E-031.99E-010.0560.99

    2.36E-031.99E-010.0791.002.36E-031.98E-010.0790.99

    3.04E-031.98E-010.1010.993.04E-031.98E-010.1010.99

    3.71E-031.97E-010.1240.993.71E-031.96E-010.1240.98

    4.39E-031.96E-010.1460.984.39E-031.95E-010.1460.97

    5.06E-031.94E-010.1690.975.06E-031.93E-010.1690.96

    5.74E-031.92E-010.1910.965.74E-031.90E-010.1910.95

    6.41E-031.88E-010.2140.946.41E-031.86E-010.2140.93

    7.09E-031.84E-010.2360.927.09E-031.82E-010.2360.91

    7.76E-031.80E-010.2590.907.76E-031.77E-010.2590.89

    8.44E-031.74E-010.2810.878.44E-031.72E-010.2810.86

    9.11E-031.68E-010.3040.849.11E-031.66E-010.3040.83

    9.79E-031.62E-010.3260.819.79E-031.60E-010.3260.80

    1.05E-021.55E-010.3490.771.05E-021.54E-010.3490.77

    1.11E-021.48E-010.3710.741.11E-021.47E-010.3710.73

    1.18E-021.40E-010.3940.701.18E-021.40E-010.3940.70

    1.25E-021.33E-010.4160.661.25E-021.33E-010.4160.66

    1.32E-021.25E-010.4390.631.32E-021.26E-010.4390.63

    1.37E-021.20E-010.4550.601.37E-021.21E-010.4550.60

    1.40E-021.17E-010.4650.581.40E-021.18E-010.4650.59

    1.43E-021.14E-010.4750.571.43E-021.15E-010.4750.57

    1.46E-021.10E-010.4850.551.46E-021.12E-010.4850.56

    1.49E-021.07E-010.4950.541.49E-021.09E-010.4950.54

    1.50E-021.05E-010.5020.531.50E-021.07E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.05E-010.5080.52

    1.56E-029.91E-020.5200.501.56E-021.01E-010.5200.51

    1.62E-029.35E-020.5390.471.62E-029.59E-020.5390.48

    1.69E-028.62E-020.5640.431.69E-028.90E-020.5640.44

    1.79E-027.77E-020.5960.391.79E-028.08E-020.5960.40

    1.90E-026.82E-020.6330.341.90E-027.17E-020.6330.36

    2.03E-025.81E-020.6770.292.03E-026.19E-020.6770.31

    2.18E-024.78E-020.7280.242.18E-025.21E-020.7280.26

    2.35E-023.79E-020.7840.192.35E-024.25E-020.7840.21

    2.54E-022.87E-020.8470.142.54E-023.35E-020.8470.17

    2.75E-022.06E-020.9160.102.75E-022.53E-020.9160.13

    2.97E-021.35E-020.9910.072.97E-021.60E-020.9910.08

    3.22E-027.86E-031.0730.043.22E-022.27E-031.0730.01

    3.48E-023.66E-031.1610.023.48E-022.40E-031.1610.01

    3.77E-021.12E-031.2550.013.77E-022.51E-031.2550.01

    4.07E-021.77E-041.3560.004.07E-022.60E-031.3560.01

    4.39E-021.73E-051.4630.004.39E-022.66E-031.4630.01

    4.73E-021.41E-061.5760.004.73E-022.71E-031.5760.01

    5.08E-021.15E-071.6950.005.08E-022.75E-031.6950.01

    5.46E-029.50E-091.8210.005.46E-022.79E-031.8210.01

    5.86E-028.01E-101.9520.005.86E-022.82E-031.9520.01

    6.27E-026.91E-112.0910.006.27E-022.84E-032.0910.01

    3D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    4D

    YW1

    3.00E-041.87E-010.0100.940.0001.0000.0001.000

    9.00E-041.87E-010.0300.930.1270.9560.2450.816

    1.50E-031.85E-010.0500.930.1940.9070.3880.579

    2.10E-031.84E-010.0700.920.2280.8650.4890.426

    2.70E-031.81E-010.0900.910.2950.7740.1100.956

    3.30E-031.79E-010.1100.890.3380.7050.7930.181

    3.90E-031.76E-010.1300.880.3710.6560.9960.063

    4.50E-031.72E-010.1500.860.4300.5371.1810.021

    5.10E-031.68E-010.1700.840.4980.4601.4090.021

    5.70E-031.64E-010.1900.820.5570.3841.5950.014

    6.30E-031.60E-010.2100.800.6160.328

    6.90E-031.56E-010.2300.780.6670.286

    7.50E-031.51E-010.2500.760.7090.237

    8.10E-031.46E-010.2700.730.7680.209

    8.70E-031.42E-010.2900.710.8520.160

    9.30E-031.37E-010.3100.680.9370.126

    9.90E-031.32E-010.3300.660.9960.091

    1.05E-021.27E-010.3500.631.0890.056

    1.11E-021.22E-010.3700.611.1730.028

    1.17E-021.17E-010.3900.591.2740.021

    1.23E-021.12E-010.4100.561.3760.014

    1.29E-021.08E-010.4300.541.4770.014

    1.35E-021.03E-010.4500.511.5700.014

    1.41E-029.84E-020.4700.491.8310.007

    1.47E-029.39E-020.4900.47

    1.50E-029.14E-020.5020.46

    1.52E-029.00E-020.5080.45

    1.56E-028.74E-020.5200.44

    1.62E-028.34E-020.5390.42

    1.69E-027.84E-020.5640.39

    1.79E-027.23E-020.5960.36

    1.90E-026.55E-020.6330.33

    2.03E-025.81E-020.6770.29

    2.18E-025.03E-020.7280.25

    2.35E-024.24E-020.7840.21

    2.54E-023.48E-020.8470.17

    2.75E-022.75E-020.9160.14

    2.97E-022.09E-020.9910.10

    3.22E-021.50E-021.0730.08

    3.48E-021.00E-021.1610.05

    3.77E-025.95E-031.2550.03

    4.07E-022.89E-031.3560.01

    4.39E-029.68E-041.4630.00

    4.73E-021.75E-041.5760.00

    5.08E-021.86E-051.6950.00

    5.46E-021.58E-061.8210.00

    5.86E-021.33E-071.9520.00

    6.27E-021.13E-082.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-041.97E-010.0110.993.38E-041.96E-010.0110.98

    1.01E-031.97E-010.0340.991.01E-031.96E-010.0340.98

    1.69E-031.96E-010.0560.981.69E-031.95E-010.0560.97

    2.36E-031.95E-010.0790.972.36E-031.93E-010.0790.97

    3.04E-031.93E-010.1010.973.04E-031.91E-010.1010.96

    3.71E-031.91E-010.1240.953.71E-031.89E-010.1240.94

    4.39E-031.88E-010.1460.944.39E-031.86E-010.1460.93

    5.06E-031.85E-010.1690.925.06E-031.82E-010.1690.91

    5.74E-031.81E-010.1910.905.74E-031.79E-010.1910.89

    6.41E-031.77E-010.2140.886.41E-031.74E-010.2140.87

    7.09E-031.72E-010.2360.867.09E-031.70E-010.2360.85

    7.76E-031.67E-010.2590.847.76E-031.65E-010.2590.83

    8.44E-031.62E-010.2810.818.44E-031.60E-010.2810.80

    9.11E-031.56E-010.3040.789.11E-031.55E-010.3040.77

    9.79E-031.50E-010.3260.759.79E-031.49E-010.3260.75

    1.05E-021.45E-010.3490.721.05E-021.44E-010.3490.72

    1.11E-021.39E-010.3710.691.11E-021.38E-010.3710.69

    1.18E-021.33E-010.3940.661.18E-021.32E-010.3940.66

    1.25E-021.27E-010.4160.631.25E-021.27E-010.4160.63

    1.32E-021.21E-010.4390.601.32E-021.21E-010.4390.61

    1.37E-021.17E-010.4550.581.37E-021.17E-010.4550.59

    1.40E-021.14E-010.4650.571.40E-021.15E-010.4650.57

    1.43E-021.11E-010.4750.561.43E-021.12E-010.4750.56

    1.46E-021.09E-010.4850.541.46E-021.10E-010.4850.55

    1.49E-021.06E-010.4950.531.49E-021.07E-010.4950.54

    1.50E-021.05E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.04E-010.5080.52

    1.56E-021.00E-010.5200.501.56E-021.01E-010.5200.51

    1.62E-029.55E-020.5390.481.62E-029.71E-020.5390.49

    1.69E-028.96E-020.5640.451.69E-029.15E-020.5640.46

    1.79E-028.27E-020.5960.411.79E-028.48E-020.5960.42

    1.90E-027.48E-020.6330.371.90E-027.71E-020.6330.39

    2.03E-026.62E-020.6770.332.03E-026.89E-020.6770.34

    2.18E-025.72E-020.7280.292.18E-026.03E-020.7280.30

    2.35E-024.81E-020.7840.242.35E-025.18E-020.7840.26

    2.54E-023.93E-020.8470.202.54E-024.36E-020.8470.22

    2.75E-023.10E-020.9160.152.75E-023.62E-020.9160.18

    2.97E-022.34E-020.9910.122.97E-022.96E-020.9910.15

    3.22E-021.67E-021.0730.083.22E-022.08E-021.0730.10

    3.48E-021.11E-021.1610.063.48E-022.93E-031.1610.01

    3.77E-026.48E-031.2550.033.77E-022.89E-031.2550.01

    4.07E-023.09E-031.3560.024.07E-022.85E-031.3560.01

    4.39E-029.93E-041.4630.004.39E-022.82E-031.4630.01

    4.73E-021.68E-041.5760.004.73E-022.80E-031.5760.01

    5.08E-021.69E-051.6950.005.08E-022.78E-031.6950.01

    5.46E-021.38E-061.8210.005.46E-022.76E-031.8210.01

    5.86E-021.12E-071.9520.005.86E-022.75E-031.9520.01

    6.27E-029.17E-092.0910.006.27E-022.75E-032.0910.01

    4D

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Lemoine

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    MBD00006CA7.unknown

    MBD000080E9.unknown

    MBD00095FE8.unknown

    MBD0009E49B.unknown

    MBD001E42C8.unknown

    MBD001E4649.unknown

    MBD001E4648.unknown

    MBD001E3F02.unknown

    MBD001E42C7.unknown

    MBD001E3F01.unknown

    MBD00099423.unknown

    MBD0009E49A.unknown

    MBD00099422.unknown

    MBD0006241E.unknown

    MBD00095FE7.unknown

    MBD0006241D.unknown

    MBD00007582.unknown

    MBD000080E7.unknown

    MBD000080E8.unknown

    MBD000080E6.unknown

    MBD00007580.unknown

    MBD00007581.unknown

    MBD0000757F.unknown

    MBD00006CA5.unknown

    MBD00006CA6.unknown

    MBD00006CA4.unknown

  • Fig. 5 : Velocity Profile at: Z=3D.Mean velocity profiles

    Graph2

    10.9865950.99815

    10.984840.99773

    0.9846210.981220.996775

    0.9568770.975580.99503

    0.9291330.967740.9921

    0.8944530.9575450.987465

    0.8457390.94490.98054

    0.7830730.929770.9708

    0.7274230.912180.95782

    0.6856850.892230.94135

    0.6229780.870060.9213

    0.5533340.845880.897745

    0.4976850.819910.87091

    0.3236370.792420.84115

    0.2679470.7636850.808885

    0.2262090.733980.774605

    0.2054830.703590.738815

    0.1777790.672790.702025

    0.143140.641840.66473

    0.1154770.610980.62737

    0.09475070.580410.600435

    0.08104110.550320.583935

    0.06039550.520860.567575

    0.03277340.4921440.55139

    0.03321950.4642670.535395

    0.02672980.4486510.525

    0.02725710.4401450.5151

    0.02778440.4234760.4956545

    0.01581880.3992720.467331

    0.3684490.431147

    0.332190.388489

    0.2918810.341043

    0.24901550.290654

    0.2056210.239196

    0.16362950.1896555

    0.12447950.143738

    0.08932750.102765

    0.05906750.0677085

    0.03441270.0393049

    0.016080850.01828455

    0.0049522350.00557715

    0.000802980.000884655

    0.000080610.000086306

    0.00000680420.000007074

    0.0000005690.0000005748

    0.00000004840.0000000475

    0.00000000420.000000004

    0.00000000040.0000000003

    exp de Hui Hu

    (k-e)

    (k-e) modified

    Y/D

    W1/Win

    2D

    YW1

    3.00E-042.00E-010.0101.000.0001.000

    9.00E-042.00E-010.0301.000.0851.000

    1.50E-032.00E-010.0501.000.1690.998

    2.10E-031.99E-010.0701.000.2200.998

    2.70E-031.99E-010.0900.990.2800.984

    3.30E-031.98E-010.1100.990.3220.970

    3.90E-031.97E-010.1300.990.3390.935

    4.50E-031.96E-010.1500.980.3730.886

    5.10E-031.94E-010.1700.970.3900.858

    5.70E-031.91E-010.1900.960.4070.809

    6.30E-031.88E-010.2100.940.4240.740

    6.90E-031.84E-010.2300.920.4320.677

    7.50E-031.79E-010.2500.890.4580.600

    8.10E-031.73E-010.2700.870.4750.530

    8.70E-031.67E-010.2900.830.5250.321

    9.30E-031.60E-010.3100.800.5340.258

    9.90E-031.52E-010.3300.760.5510.188

    1.05E-021.45E-010.3500.720.5760.147

    1.11E-021.36E-010.3700.680.6270.070

    1.17E-021.28E-010.3900.640.6780.042

    1.23E-021.20E-010.4100.600.7800.028

    1.29E-021.12E-010.4300.560.8900.028

    1.35E-021.04E-010.4500.520.9830.028

    1.41E-029.60E-020.4700.481.0760.014

    1.47E-028.86E-020.4900.441.1860.014

    1.50E-028.45E-020.5020.421.2970.014

    1.52E-028.23E-020.5080.411.8390.007

    1.56E-027.80E-020.5200.39

    1.62E-027.18E-020.5390.36

    1.69E-026.41E-020.5640.32

    1.79E-025.52E-020.5960.28

    1.90E-024.57E-020.6330.23

    2.03E-023.62E-020.6770.18

    2.18E-022.71E-020.7280.14

    2.35E-021.89E-020.7840.09

    2.54E-021.18E-020.8470.06

    2.75E-026.16E-030.9160.03

    2.97E-022.29E-030.9910.01

    3.22E-024.70E-041.0730.00

    3.48E-025.28E-051.1610.00

    3.77E-024.45E-061.2550.00

    4.07E-023.58E-071.3560.00

    4.39E-022.90E-081.4630.00

    4.73E-022.39E-091.5760.00

    5.08E-022.00E-101.6950.00

    5.46E-021.73E-111.8210.00

    5.86E-021.63E-121.9520.00

    6.27E-022.70E-132.0910.00

    Ajustement de CHENAjustement de CHEN et Rodi

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-042.00E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-032.00E-010.0341.00

    1.69E-032.00E-010.0561.001.69E-032.00E-010.0561.00

    2.36E-032.00E-010.0791.002.36E-032.00E-010.0791.00

    3.04E-032.00E-010.1011.003.04E-032.00E-010.1011.00

    3.71E-032.00E-010.1241.003.71E-031.99E-010.1241.00

    4.39E-031.99E-010.1461.004.39E-031.99E-010.1460.99

    5.06E-031.99E-010.1690.995.06E-031.98E-010.1690.99

    5.74E-031.98E-010.1910.995.74E-031.97E-010.1910.99

    6.41E-031.97E-010.2140.986.41E-031.95E-010.2140.98

    7.09E-031.94E-010.2360.977.09E-031.93E-010.2360.96

    7.76E-031.91E-010.2590.967.76E-031.90E-010.2590.95

    8.44E-031.87E-010.2810.948.44E-031.85E-010.2810.93

    9.11E-031.82E-010.3040.919.11E-031.80E-010.3040.90

    9.79E-031.76E-010.3260.889.79E-031.74E-010.3260.87

    1.05E-021.68E-010.3490.841.05E-021.67E-010.3490.83

    1.11E-021.60E-010.3710.801.11E-021.59E-010.3710.79

    1.18E-021.51E-010.3940.751.18E-021.50E-010.3940.75

    1.25E-021.41E-010.4160.711.25E-021.41E-010.4160.71

    1.32E-021.31E-010.4390.661.32E-021.32E-010.4390.66

    1.37E-021.24E-010.4550.621.37E-021.25E-010.4550.63

    1.40E-021.19E-010.4650.601.40E-021.21E-010.4650.60

    1.43E-021.15E-010.4750.571.43E-021.17E-010.4750.58

    1.46E-021.10E-010.4850.551.46E-021.13E-010.4850.56

    1.49E-021.06E-010.4950.531.49E-021.09E-010.4950.54

    1.50E-021.03E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.01E-010.5080.501.52E-021.04E-010.5080.52

    1.56E-029.54E-020.5200.481.56E-029.87E-020.5200.49

    1.62E-028.79E-020.5390.441.62E-029.17E-020.5390.46

    1.69E-027.85E-020.5640.391.69E-028.28E-020.5640.41

    1.79E-026.77E-020.5960.341.79E-027.25E-020.5960.36

    1.90E-025.60E-020.6330.281.90E-026.14E-020.6330.31

    2.03E-024.43E-020.6770.222.03E-025.01E-020.6770.25

    2.18E-023.32E-020.7280.172.18E-023.88E-020.7280.19

    2.35E-022.32E-020.7840.122.35E-022.86E-020.7840.11

    2.54E-021.46E-020.8470.072.54E-021.81E-020.8470.05

    2.75E-027.78E-030.9160.042.75E-022.69E-030.9160.01

    2.97E-023.03E-030.9910.022.97E-022.74E-030.9910.01

    3.22E-026.63E-041.0730.003.22E-022.78E-031.0730.01

    3.48E-027.73E-051.1610.003.48E-022.83E-031.1610.01

    3.77E-026.53E-061.2550.003.77E-022.88E-031.2550.01

    4.07E-025.18E-071.3560.004.07E-022.92E-031.3560.01

    4.39E-024.14E-081.4630.004.39E-022.96E-031.4630.01

    4.73E-023.36E-091.5760.004.73E-023.00E-031.5760.02

    5.08E-022.78E-101.6950.005.08E-023.03E-031.6950.02

    5.46E-022.36E-111.8210.005.46E-023.06E-031.8210.02

    5.86E-022.15E-121.9520.005.86E-023.08E-031.9520.02

    6.27E-023.13E-132.0910.006.27E-023.10E-032.0910.02

    2D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    exp

    Modle k-e standard

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    3D

    YW1

    3.00E-041.97E-010.0100.990.0001.000

    9.00E-041.97E-010.0300.980.1181.000

    1.50E-031.96E-010.0500.980.1930.985

    2.10E-031.95E-010.0700.980.2270.957

    2.70E-031.94E-010.0900.970.2610.929

    3.30E-031.92E-010.1100.960.3030.894

    3.90E-031.89E-010.1300.940.3280.846

    4.50E-031.86E-010.1500.930.3530.783

    5.10E-031.82E-010.1700.910.3870.727

    5.70E-031.78E-010.1900.890.4120.686

    6.30E-031.74E-010.2100.870.4290.623

    6.90E-031.69E-010.2300.850.4540.553

    7.50E-031.64E-010.2500.820.4870.498

    8.10E-031.58E-010.2700.790.5630.324

    8.70E-031.53E-010.2900.760.5880.268

    9.30E-031.47E-010.3100.730.6130.226

    9.90E-031.41E-010.3300.700.6550.205

    1.05E-021.35E-010.3500.670.6970.178

    1.11E-021.28E-010.3700.640.7480.143

    1.17E-021.22E-010.3900.610.7980.115

    1.23E-021.16E-010.4100.580.8400.095

    1.29E-021.10E-010.4300.550.8910.081

    1.35E-021.04E-010.4500.520.9500.060

    1.41E-029.84E-020.4700.491.0080.033

    1.47E-029.29E-020.4900.461.1010.033

    1.50E-028.97E-020.5020.451.2020.027

    1.52E-028.80E-020.5080.441.3110.027

    1.56E-028.47E-020.5200.421.4200.028

    1.62E-027.99E-020.5390.401.8320.016

    1.69E-027.37E-020.5640.37

    1.79E-026.64E-020.5960.33

    1.90E-025.84E-020.6330.29

    2.03E-024.98E-020.6770.25

    2.18E-024.11E-020.7280.21

    2.35E-023.27E-020.7840.16

    2.54E-022.49E-020.8470.12

    2.75E-021.79E-020.9160.09

    2.97E-021.18E-020.9910.06

    3.22E-026.88E-031.0730.03

    3.48E-023.22E-031.1610.02

    3.77E-029.90E-041.2550.00

    4.07E-021.61E-041.3560.00

    4.39E-021.61E-051.4630.00

    4.73E-021.36E-061.5760.00

    5.08E-021.14E-071.6950.00

    5.46E-029.68E-091.8210.00

    5.86E-028.40E-101.9520.00

    6.27E-027.45E-112.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-041.99E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-031.99E-010.0341.00

    1.69E-031.99E-010.0561.001.69E-031.99E-010.0560.99

    2.36E-031.99E-010.0791.002.36E-031.98E-010.0790.99

    3.04E-031.98E-010.1010.993.04E-031.98E-010.1010.99

    3.71E-031.97E-010.1240.993.71E-031.96E-010.1240.98

    4.39E-031.96E-010.1460.984.39E-031.95E-010.1460.97

    5.06E-031.94E-010.1690.975.06E-031.93E-010.1690.96

    5.74E-031.92E-010.1910.965.74E-031.90E-010.1910.95

    6.41E-031.88E-010.2140.946.41E-031.86E-010.2140.93

    7.09E-031.84E-010.2360.927.09E-031.82E-010.2360.91

    7.76E-031.80E-010.2590.907.76E-031.77E-010.2590.89

    8.44E-031.74E-010.2810.878.44E-031.72E-010.2810.86

    9.11E-031.68E-010.3040.849.11E-031.66E-010.3040.83

    9.79E-031.62E-010.3260.819.79E-031.60E-010.3260.80

    1.05E-021.55E-010.3490.771.05E-021.54E-010.3490.77

    1.11E-021.48E-010.3710.741.11E-021.47E-010.3710.73

    1.18E-021.40E-010.3940.701.18E-021.40E-010.3940.70

    1.25E-021.33E-010.4160.661.25E-021.33E-010.4160.66

    1.32E-021.25E-010.4390.631.32E-021.26E-010.4390.63

    1.37E-021.20E-010.4550.601.37E-021.21E-010.4550.60

    1.40E-021.17E-010.4650.581.40E-021.18E-010.4650.59

    1.43E-021.14E-010.4750.571.43E-021.15E-010.4750.57

    1.46E-021.10E-010.4850.551.46E-021.12E-010.4850.56

    1.49E-021.07E-010.4950.541.49E-021.09E-010.4950.54

    1.50E-021.05E-010.5020.531.50E-021.07E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.05E-010.5080.52

    1.56E-029.91E-020.5200.501.56E-021.01E-010.5200.51

    1.62E-029.35E-020.5390.471.62E-029.59E-020.5390.48

    1.69E-028.62E-020.5640.431.69E-028.90E-020.5640.44

    1.79E-027.77E-020.5960.391.79E-028.08E-020.5960.40

    1.90E-026.82E-020.6330.341.90E-027.17E-020.6330.36

    2.03E-025.81E-020.6770.292.03E-026.19E-020.6770.31

    2.18E-024.78E-020.7280.242.18E-025.21E-020.7280.26

    2.35E-023.79E-020.7840.192.35E-024.25E-020.7840.21

    2.54E-022.87E-020.8470.142.54E-023.35E-020.8470.17

    2.75E-022.06E-020.9160.102.75E-022.53E-020.9160.13

    2.97E-021.35E-020.9910.072.97E-021.60E-020.9910.08

    3.22E-027.86E-031.0730.043.22E-022.27E-031.0730.01

    3.48E-023.66E-031.1610.023.48E-022.40E-031.1610.01

    3.77E-021.12E-031.2550.013.77E-022.51E-031.2550.01

    4.07E-021.77E-041.3560.004.07E-022.60E-031.3560.01

    4.39E-021.73E-051.4630.004.39E-022.66E-031.4630.01

    4.73E-021.41E-061.5760.004.73E-022.71E-031.5760.01

    5.08E-021.15E-071.6950.005.08E-022.75E-031.6950.01

    5.46E-029.50E-091.8210.005.46E-022.79E-031.8210.01

    5.86E-028.01E-101.9520.005.86E-022.82E-031.9520.01

    6.27E-026.91E-112.0910.006.27E-022.84E-032.0910.01

    3D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    4D

    YW1

    3.00E-041.87E-010.0100.940.0001.0000.0001.000

    9.00E-041.87E-010.0300.930.1270.9560.2450.816

    1.50E-031.85E-010.0500.930.1940.9070.3880.579

    2.10E-031.84E-010.0700.920.2280.8650.4890.426

    2.70E-031.81E-010.0900.910.2950.7740.1100.956

    3.30E-031.79E-010.1100.890.3380.7050.7930.181

    3.90E-031.76E-010.1300.880.3710.6560.9960.063

    4.50E-031.72E-010.1500.860.4300.5371.1810.021

    5.10E-031.68E-010.1700.840.4980.4601.4090.021

    5.70E-031.64E-010.1900.820.5570.3841.5950.014

    6.30E-031.60E-010.2100.800.6160.328

    6.90E-031.56E-010.2300.780.6670.286

    7.50E-031.51E-010.2500.760.7090.237

    8.10E-031.46E-010.2700.730.7680.209

    8.70E-031.42E-010.2900.710.8520.160

    9.30E-031.37E-010.3100.680.9370.126

    9.90E-031.32E-010.3300.660.9960.091

    1.05E-021.27E-010.3500.631.0890.056

    1.11E-021.22E-010.3700.611.1730.028

    1.17E-021.17E-010.3900.591.2740.021

    1.23E-021.12E-010.4100.561.3760.014

    1.29E-021.08E-010.4300.541.4770.014

    1.35E-021.03E-010.4500.511.5700.014

    1.41E-029.84E-020.4700.491.8310.007

    1.47E-029.39E-020.4900.47

    1.50E-029.14E-020.5020.46

    1.52E-029.00E-020.5080.45

    1.56E-028.74E-020.5200.44

    1.62E-028.34E-020.5390.42

    1.69E-027.84E-020.5640.39

    1.79E-027.23E-020.5960.36

    1.90E-026.55E-020.6330.33

    2.03E-025.81E-020.6770.29

    2.18E-025.03E-020.7280.25

    2.35E-024.24E-020.7840.21

    2.54E-023.48E-020.8470.17

    2.75E-022.75E-020.9160.14

    2.97E-022.09E-020.9910.10

    3.22E-021.50E-021.0730.08

    3.48E-021.00E-021.1610.05

    3.77E-025.95E-031.2550.03

    4.07E-022.89E-031.3560.01

    4.39E-029.68E-041.4630.00

    4.73E-021.75E-041.5760.00

    5.08E-021.86E-051.6950.00

    5.46E-021.58E-061.8210.00

    5.86E-021.33E-071.9520.00

    6.27E-021.13E-082.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-041.97E-010.0110.993.38E-041.96E-010.0110.98

    1.01E-031.97E-010.0340.991.01E-031.96E-010.0340.98

    1.69E-031.96E-010.0560.981.69E-031.95E-010.0560.97

    2.36E-031.95E-010.0790.972.36E-031.93E-010.0790.97

    3.04E-031.93E-010.1010.973.04E-031.91E-010.1010.96

    3.71E-031.91E-010.1240.953.71E-031.89E-010.1240.94

    4.39E-031.88E-010.1460.944.39E-031.86E-010.1460.93

    5.06E-031.85E-010.1690.925.06E-031.82E-010.1690.91

    5.74E-031.81E-010.1910.905.74E-031.79E-010.1910.89

    6.41E-031.77E-010.2140.886.41E-031.74E-010.2140.87

    7.09E-031.72E-010.2360.867.09E-031.70E-010.2360.85

    7.76E-031.67E-010.2590.847.76E-031.65E-010.2590.83

    8.44E-031.62E-010.2810.818.44E-031.60E-010.2810.80

    9.11E-031.56E-010.3040.789.11E-031.55E-010.3040.77

    9.79E-031.50E-010.3260.759.79E-031.49E-010.3260.75

    1.05E-021.45E-010.3490.721.05E-021.44E-010.3490.72

    1.11E-021.39E-010.3710.691.11E-021.38E-010.3710.69

    1.18E-021.33E-010.3940.661.18E-021.32E-010.3940.66

    1.25E-021.27E-010.4160.631.25E-021.27E-010.4160.63

    1.32E-021.21E-010.4390.601.32E-021.21E-010.4390.61

    1.37E-021.17E-010.4550.581.37E-021.17E-010.4550.59

    1.40E-021.14E-010.4650.571.40E-021.15E-010.4650.57

    1.43E-021.11E-010.4750.561.43E-021.12E-010.4750.56

    1.46E-021.09E-010.4850.541.46E-021.10E-010.4850.55

    1.49E-021.06E-010.4950.531.49E-021.07E-010.4950.54

    1.50E-021.05E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.04E-010.5080.52

    1.56E-021.00E-010.5200.501.56E-021.01E-010.5200.51

    1.62E-029.55E-020.5390.481.62E-029.71E-020.5390.49

    1.69E-028.96E-020.5640.451.69E-029.15E-020.5640.46

    1.79E-028.27E-020.5960.411.79E-028.48E-020.5960.42

    1.90E-027.48E-020.6330.371.90E-027.71E-020.6330.39

    2.03E-026.62E-020.6770.332.03E-026.89E-020.6770.34

    2.18E-025.72E-020.7280.292.18E-026.03E-020.7280.30

    2.35E-024.81E-020.7840.242.35E-025.18E-020.7840.26

    2.54E-023.93E-020.8470.202.54E-024.36E-020.8470.22

    2.75E-023.10E-020.9160.152.75E-023.62E-020.9160.18

    2.97E-022.34E-020.9910.122.97E-022.96E-020.9910.15

    3.22E-021.67E-021.0730.083.22E-022.08E-021.0730.10

    3.48E-021.11E-021.1610.063.48E-022.93E-031.1610.01

    3.77E-026.48E-031.2550.033.77E-022.89E-031.2550.01

    4.07E-023.09E-031.3560.024.07E-022.85E-031.3560.01

    4.39E-029.93E-041.4630.004.39E-022.82E-031.4630.01

    4.73E-021.68E-041.5760.004.73E-022.80E-031.5760.01

    5.08E-021.69E-051.6950.005.08E-022.78E-031.6950.01

    5.46E-021.38E-061.8210.005.46E-022.76E-031.8210.01

    5.86E-021.12E-071.9520.005.86E-022.75E-031.9520.01

    6.27E-029.17E-092.0910.006.27E-022.75E-032.0910.01

    4D

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Lemoine

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    MBD00006CA7.unknown

    MBD000080E9.unknown

    MBD00095FE8.unknown

    MBD0009E49B.unknown

    MBD001E42C8.unknown

    MBD001E4649.unknown

    MBD001E4648.unknown

    MBD001E3F02.unknown

    MBD001E42C7.unknown

    MBD001E3F01.unknown

    MBD00099423.unknown

    MBD0009E49A.unknown

    MBD00099422.unknown

    MBD0006241E.unknown

    MBD00095FE7.unknown

    MBD0006241D.unknown

    MBD00007582.unknown

    MBD000080E7.unknown

    MBD000080E8.unknown

    MBD000080E6.unknown

    MBD00007580.unknown

    MBD00007581.unknown

    MBD0000757F.unknown

    MBD00006CA5.unknown

    MBD00006CA6.unknown

    MBD00006CA4.unknown

  • RESULTS OF SIMULATIONS Fig. 6 : Velocity Profile at: Z=4D.Mean velocity profiles

    Graph3

    10.9358650.98717

    0.9558140.9328150.98517

    0.9069770.9268250.98106

    0.8651160.91810.97466

    0.7744190.9068750.965795

    0.7046510.8934050.954365

    0.6558140.877930.940325

    0.5372090.860690.92373

    0.4604650.8419050.904705

    0.3837210.821780.88343

    0.3279070.800510.860135

    0.2860470.778290.835085

    0.2372090.7552850.808555

    0.2093020.7316750.780825

    0.1604650.7076150.752175

    0.1255810.683260.722875

    0.09069770.6587450.693175

    0.0558140.6341950.66331

    0.0279070.6097350.63349

    0.02093020.5854550.603905

    0.01395350.5614550.5827

    0.01395350.5378150.569715

    0.01395350.5145950.55684

    0.006976740.491850.544085

    0.4696280.53146

    0.4570810.52324

    0.4502480.5154

    0.4367990.4999605

    0.4171280.4773305

    0.39181450.448147

    0.3616230.413277

    0.32748250.3738085

    0.2904450.330997

    0.25162350.2861805

    0.2121770.2406835

    0.1738390.196376

    0.13768150.1548025

    0.1045870.116964

    0.0752410.0836115

    0.050160.0552875

    0.02975780.03241415

    0.01446510.01544

    0.004840460.004964395

    0.0008733350.000840755

    0.00009279150.00008447

    0.00000792240.0000069176

    0.00000066250.0000005581

    0.00000005640.0000000458

    exp de Hui Hu

    (k-e)

    (k-e) modified

    Y/D

    W1/Win

    2D

    YW1

    3.00E-042.00E-010.0101.000.0001.000

    9.00E-042.00E-010.0301.000.0851.000

    1.50E-032.00E-010.0501.000.1690.998

    2.10E-031.99E-010.0701.000.2200.998

    2.70E-031.99E-010.0900.990.2800.984

    3.30E-031.98E-010.1100.990.3220.970

    3.90E-031.97E-010.1300.990.3390.935

    4.50E-031.96E-010.1500.980.3730.886

    5.10E-031.94E-010.1700.970.3900.858

    5.70E-031.91E-010.1900.960.4070.809

    6.30E-031.88E-010.2100.940.4240.740

    6.90E-031.84E-010.2300.920.4320.677

    7.50E-031.79E-010.2500.890.4580.600

    8.10E-031.73E-010.2700.870.4750.530

    8.70E-031.67E-010.2900.830.5250.321

    9.30E-031.60E-010.3100.800.5340.258

    9.90E-031.52E-010.3300.760.5510.188

    1.05E-021.45E-010.3500.720.5760.147

    1.11E-021.36E-010.3700.680.6270.070

    1.17E-021.28E-010.3900.640.6780.042

    1.23E-021.20E-010.4100.600.7800.028

    1.29E-021.12E-010.4300.560.8900.028

    1.35E-021.04E-010.4500.520.9830.028

    1.41E-029.60E-020.4700.481.0760.014

    1.47E-028.86E-020.4900.441.1860.014

    1.50E-028.45E-020.5020.421.2970.014

    1.52E-028.23E-020.5080.411.8390.007

    1.56E-027.80E-020.5200.39

    1.62E-027.18E-020.5390.36

    1.69E-026.41E-020.5640.32

    1.79E-025.52E-020.5960.28

    1.90E-024.57E-020.6330.23

    2.03E-023.62E-020.6770.18

    2.18E-022.71E-020.7280.14

    2.35E-021.89E-020.7840.09

    2.54E-021.18E-020.8470.06

    2.75E-026.16E-030.9160.03

    2.97E-022.29E-030.9910.01

    3.22E-024.70E-041.0730.00

    3.48E-025.28E-051.1610.00

    3.77E-024.45E-061.2550.00

    4.07E-023.58E-071.3560.00

    4.39E-022.90E-081.4630.00

    4.73E-022.39E-091.5760.00

    5.08E-022.00E-101.6950.00

    5.46E-021.73E-111.8210.00

    5.86E-021.63E-121.9520.00

    6.27E-022.70E-132.0910.00

    Ajustement de CHENAjustement de CHEN et Rodi

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-042.00E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-032.00E-010.0341.00

    1.69E-032.00E-010.0561.001.69E-032.00E-010.0561.00

    2.36E-032.00E-010.0791.002.36E-032.00E-010.0791.00

    3.04E-032.00E-010.1011.003.04E-032.00E-010.1011.00

    3.71E-032.00E-010.1241.003.71E-031.99E-010.1241.00

    4.39E-031.99E-010.1461.004.39E-031.99E-010.1460.99

    5.06E-031.99E-010.1690.995.06E-031.98E-010.1690.99

    5.74E-031.98E-010.1910.995.74E-031.97E-010.1910.99

    6.41E-031.97E-010.2140.986.41E-031.95E-010.2140.98

    7.09E-031.94E-010.2360.977.09E-031.93E-010.2360.96

    7.76E-031.91E-010.2590.967.76E-031.90E-010.2590.95

    8.44E-031.87E-010.2810.948.44E-031.85E-010.2810.93

    9.11E-031.82E-010.3040.919.11E-031.80E-010.3040.90

    9.79E-031.76E-010.3260.889.79E-031.74E-010.3260.87

    1.05E-021.68E-010.3490.841.05E-021.67E-010.3490.83

    1.11E-021.60E-010.3710.801.11E-021.59E-010.3710.79

    1.18E-021.51E-010.3940.751.18E-021.50E-010.3940.75

    1.25E-021.41E-010.4160.711.25E-021.41E-010.4160.71

    1.32E-021.31E-010.4390.661.32E-021.32E-010.4390.66

    1.37E-021.24E-010.4550.621.37E-021.25E-010.4550.63

    1.40E-021.19E-010.4650.601.40E-021.21E-010.4650.60

    1.43E-021.15E-010.4750.571.43E-021.17E-010.4750.58

    1.46E-021.10E-010.4850.551.46E-021.13E-010.4850.56

    1.49E-021.06E-010.4950.531.49E-021.09E-010.4950.54

    1.50E-021.03E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.01E-010.5080.501.52E-021.04E-010.5080.52

    1.56E-029.54E-020.5200.481.56E-029.87E-020.5200.49

    1.62E-028.79E-020.5390.441.62E-029.17E-020.5390.46

    1.69E-027.85E-020.5640.391.69E-028.28E-020.5640.41

    1.79E-026.77E-020.5960.341.79E-027.25E-020.5960.36

    1.90E-025.60E-020.6330.281.90E-026.14E-020.6330.31

    2.03E-024.43E-020.6770.222.03E-025.01E-020.6770.25

    2.18E-023.32E-020.7280.172.18E-023.88E-020.7280.19

    2.35E-022.32E-020.7840.122.35E-022.86E-020.7840.11

    2.54E-021.46E-020.8470.072.54E-021.81E-020.8470.05

    2.75E-027.78E-030.9160.042.75E-022.69E-030.9160.01

    2.97E-023.03E-030.9910.022.97E-022.74E-030.9910.01

    3.22E-026.63E-041.0730.003.22E-022.78E-031.0730.01

    3.48E-027.73E-051.1610.003.48E-022.83E-031.1610.01

    3.77E-026.53E-061.2550.003.77E-022.88E-031.2550.01

    4.07E-025.18E-071.3560.004.07E-022.92E-031.3560.01

    4.39E-024.14E-081.4630.004.39E-022.96E-031.4630.01

    4.73E-023.36E-091.5760.004.73E-023.00E-031.5760.02

    5.08E-022.78E-101.6950.005.08E-023.03E-031.6950.02

    5.46E-022.36E-111.8210.005.46E-023.06E-031.8210.02

    5.86E-022.15E-121.9520.005.86E-023.08E-031.9520.02

    6.27E-023.13E-132.0910.006.27E-023.10E-032.0910.02

    2D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    exp

    Modle k-e standard

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    3D

    YW1

    3.00E-041.97E-010.0100.990.0001.000

    9.00E-041.97E-010.0300.980.1181.000

    1.50E-031.96E-010.0500.980.1930.985

    2.10E-031.95E-010.0700.980.2270.957

    2.70E-031.94E-010.0900.970.2610.929

    3.30E-031.92E-010.1100.960.3030.894

    3.90E-031.89E-010.1300.940.3280.846

    4.50E-031.86E-010.1500.930.3530.783

    5.10E-031.82E-010.1700.910.3870.727

    5.70E-031.78E-010.1900.890.4120.686

    6.30E-031.74E-010.2100.870.4290.623

    6.90E-031.69E-010.2300.850.4540.553

    7.50E-031.64E-010.2500.820.4870.498

    8.10E-031.58E-010.2700.790.5630.324

    8.70E-031.53E-010.2900.760.5880.268

    9.30E-031.47E-010.3100.730.6130.226

    9.90E-031.41E-010.3300.700.6550.205

    1.05E-021.35E-010.3500.670.6970.178

    1.11E-021.28E-010.3700.640.7480.143

    1.17E-021.22E-010.3900.610.7980.115

    1.23E-021.16E-010.4100.580.8400.095

    1.29E-021.10E-010.4300.550.8910.081

    1.35E-021.04E-010.4500.520.9500.060

    1.41E-029.84E-020.4700.491.0080.033

    1.47E-029.29E-020.4900.461.1010.033

    1.50E-028.97E-020.5020.451.2020.027

    1.52E-028.80E-020.5080.441.3110.027

    1.56E-028.47E-020.5200.421.4200.028

    1.62E-027.99E-020.5390.401.8320.016

    1.69E-027.37E-020.5640.37

    1.79E-026.64E-020.5960.33

    1.90E-025.84E-020.6330.29

    2.03E-024.98E-020.6770.25

    2.18E-024.11E-020.7280.21

    2.35E-023.27E-020.7840.16

    2.54E-022.49E-020.8470.12

    2.75E-021.79E-020.9160.09

    2.97E-021.18E-020.9910.06

    3.22E-026.88E-031.0730.03

    3.48E-023.22E-031.1610.02

    3.77E-029.90E-041.2550.00

    4.07E-021.61E-041.3560.00

    4.39E-021.61E-051.4630.00

    4.73E-021.36E-061.5760.00

    5.08E-021.14E-071.6950.00

    5.46E-029.68E-091.8210.00

    5.86E-028.40E-101.9520.00

    6.27E-027.45E-112.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-042.00E-010.0111.003.38E-041.99E-010.0111.00

    1.01E-032.00E-010.0341.001.01E-031.99E-010.0341.00

    1.69E-031.99E-010.0561.001.69E-031.99E-010.0560.99

    2.36E-031.99E-010.0791.002.36E-031.98E-010.0790.99

    3.04E-031.98E-010.1010.993.04E-031.98E-010.1010.99

    3.71E-031.97E-010.1240.993.71E-031.96E-010.1240.98

    4.39E-031.96E-010.1460.984.39E-031.95E-010.1460.97

    5.06E-031.94E-010.1690.975.06E-031.93E-010.1690.96

    5.74E-031.92E-010.1910.965.74E-031.90E-010.1910.95

    6.41E-031.88E-010.2140.946.41E-031.86E-010.2140.93

    7.09E-031.84E-010.2360.927.09E-031.82E-010.2360.91

    7.76E-031.80E-010.2590.907.76E-031.77E-010.2590.89

    8.44E-031.74E-010.2810.878.44E-031.72E-010.2810.86

    9.11E-031.68E-010.3040.849.11E-031.66E-010.3040.83

    9.79E-031.62E-010.3260.819.79E-031.60E-010.3260.80

    1.05E-021.55E-010.3490.771.05E-021.54E-010.3490.77

    1.11E-021.48E-010.3710.741.11E-021.47E-010.3710.73

    1.18E-021.40E-010.3940.701.18E-021.40E-010.3940.70

    1.25E-021.33E-010.4160.661.25E-021.33E-010.4160.66

    1.32E-021.25E-010.4390.631.32E-021.26E-010.4390.63

    1.37E-021.20E-010.4550.601.37E-021.21E-010.4550.60

    1.40E-021.17E-010.4650.581.40E-021.18E-010.4650.59

    1.43E-021.14E-010.4750.571.43E-021.15E-010.4750.57

    1.46E-021.10E-010.4850.551.46E-021.12E-010.4850.56

    1.49E-021.07E-010.4950.541.49E-021.09E-010.4950.54

    1.50E-021.05E-010.5020.531.50E-021.07E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.05E-010.5080.52

    1.56E-029.91E-020.5200.501.56E-021.01E-010.5200.51

    1.62E-029.35E-020.5390.471.62E-029.59E-020.5390.48

    1.69E-028.62E-020.5640.431.69E-028.90E-020.5640.44

    1.79E-027.77E-020.5960.391.79E-028.08E-020.5960.40

    1.90E-026.82E-020.6330.341.90E-027.17E-020.6330.36

    2.03E-025.81E-020.6770.292.03E-026.19E-020.6770.31

    2.18E-024.78E-020.7280.242.18E-025.21E-020.7280.26

    2.35E-023.79E-020.7840.192.35E-024.25E-020.7840.21

    2.54E-022.87E-020.8470.142.54E-023.35E-020.8470.17

    2.75E-022.06E-020.9160.102.75E-022.53E-020.9160.13

    2.97E-021.35E-020.9910.072.97E-021.60E-020.9910.08

    3.22E-027.86E-031.0730.043.22E-022.27E-031.0730.01

    3.48E-023.66E-031.1610.023.48E-022.40E-031.1610.01

    3.77E-021.12E-031.2550.013.77E-022.51E-031.2550.01

    4.07E-021.77E-041.3560.004.07E-022.60E-031.3560.01

    4.39E-021.73E-051.4630.004.39E-022.66E-031.4630.01

    4.73E-021.41E-061.5760.004.73E-022.71E-031.5760.01

    5.08E-021.15E-071.6950.005.08E-022.75E-031.6950.01

    5.46E-029.50E-091.8210.005.46E-022.79E-031.8210.01

    5.86E-028.01E-101.9520.005.86E-022.82E-031.9520.01

    6.27E-026.91E-112.0910.006.27E-022.84E-032.0910.01

    3D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    4D

    YW1

    3.00E-041.87E-010.0100.940.0001.0000.0001.000

    9.00E-041.87E-010.0300.930.1270.9560.2450.816

    1.50E-031.85E-010.0500.930.1940.9070.3880.579

    2.10E-031.84E-010.0700.920.2280.8650.4890.426

    2.70E-031.81E-010.0900.910.2950.7740.1100.956

    3.30E-031.79E-010.1100.890.3380.7050.7930.181

    3.90E-031.76E-010.1300.880.3710.6560.9960.063

    4.50E-031.72E-010.1500.860.4300.5371.1810.021

    5.10E-031.68E-010.1700.840.4980.4601.4090.021

    5.70E-031.64E-010.1900.820.5570.3841.5950.014

    6.30E-031.60E-010.2100.800.6160.328

    6.90E-031.56E-010.2300.780.6670.286

    7.50E-031.51E-010.2500.760.7090.237

    8.10E-031.46E-010.2700.730.7680.209

    8.70E-031.42E-010.2900.710.8520.160

    9.30E-031.37E-010.3100.680.9370.126

    9.90E-031.32E-010.3300.660.9960.091

    1.05E-021.27E-010.3500.631.0890.056

    1.11E-021.22E-010.3700.611.1730.028

    1.17E-021.17E-010.3900.591.2740.021

    1.23E-021.12E-010.4100.561.3760.014

    1.29E-021.08E-010.4300.541.4770.014

    1.35E-021.03E-010.4500.511.5700.014

    1.41E-029.84E-020.4700.491.8310.007

    1.47E-029.39E-020.4900.47

    1.50E-029.14E-020.5020.46

    1.52E-029.00E-020.5080.45

    1.56E-028.74E-020.5200.44

    1.62E-028.34E-020.5390.42

    1.69E-027.84E-020.5640.39

    1.79E-027.23E-020.5960.36

    1.90E-026.55E-020.6330.33

    2.03E-025.81E-020.6770.29

    2.18E-025.03E-020.7280.25

    2.35E-024.24E-020.7840.21

    2.54E-023.48E-020.8470.17

    2.75E-022.75E-020.9160.14

    2.97E-022.09E-020.9910.10

    3.22E-021.50E-021.0730.08

    3.48E-021.00E-021.1610.05

    3.77E-025.95E-031.2550.03

    4.07E-022.89E-031.3560.01

    4.39E-029.68E-041.4630.00

    4.73E-021.75E-041.5760.00

    5.08E-021.86E-051.6950.00

    5.46E-021.58E-061.8210.00

    5.86E-021.33E-071.9520.00

    6.27E-021.13E-082.0910.00

    Ajustement de CHENAjustement de CHEN et RODI

    YW1YW1

    3.38E-041.97E-010.0110.993.38E-041.96E-010.0110.98

    1.01E-031.97E-010.0340.991.01E-031.96E-010.0340.98

    1.69E-031.96E-010.0560.981.69E-031.95E-010.0560.97

    2.36E-031.95E-010.0790.972.36E-031.93E-010.0790.97

    3.04E-031.93E-010.1010.973.04E-031.91E-010.1010.96

    3.71E-031.91E-010.1240.953.71E-031.89E-010.1240.94

    4.39E-031.88E-010.1460.944.39E-031.86E-010.1460.93

    5.06E-031.85E-010.1690.925.06E-031.82E-010.1690.91

    5.74E-031.81E-010.1910.905.74E-031.79E-010.1910.89

    6.41E-031.77E-010.2140.886.41E-031.74E-010.2140.87

    7.09E-031.72E-010.2360.867.09E-031.70E-010.2360.85

    7.76E-031.67E-010.2590.847.76E-031.65E-010.2590.83

    8.44E-031.62E-010.2810.818.44E-031.60E-010.2810.80

    9.11E-031.56E-010.3040.789.11E-031.55E-010.3040.77

    9.79E-031.50E-010.3260.759.79E-031.49E-010.3260.75

    1.05E-021.45E-010.3490.721.05E-021.44E-010.3490.72

    1.11E-021.39E-010.3710.691.11E-021.38E-010.3710.69

    1.18E-021.33E-010.3940.661.18E-021.32E-010.3940.66

    1.25E-021.27E-010.4160.631.25E-021.27E-010.4160.63

    1.32E-021.21E-010.4390.601.32E-021.21E-010.4390.61

    1.37E-021.17E-010.4550.581.37E-021.17E-010.4550.59

    1.40E-021.14E-010.4650.571.40E-021.15E-010.4650.57

    1.43E-021.11E-010.4750.561.43E-021.12E-010.4750.56

    1.46E-021.09E-010.4850.541.46E-021.10E-010.4850.55

    1.49E-021.06E-010.4950.531.49E-021.07E-010.4950.54

    1.50E-021.05E-010.5020.521.50E-021.06E-010.5020.53

    1.52E-021.03E-010.5080.521.52E-021.04E-010.5080.52

    1.56E-021.00E-010.5200.501.56E-021.01E-010.5200.51

    1.62E-029.55E-020.5390.481.62E-029.71E-020.5390.49

    1.69E-028.96E-020.5640.451.69E-029.15E-020.5640.46

    1.79E-028.27E-020.5960.411.79E-028.48E-020.5960.42

    1.90E-027.48E-020.6330.371.90E-027.71E-020.6330.39

    2.03E-026.62E-020.6770.332.03E-026.89E-020.6770.34

    2.18E-025.72E-020.7280.292.18E-026.03E-020.7280.30

    2.35E-024.81E-020.7840.242.35E-025.18E-020.7840.26

    2.54E-023.93E-020.8470.202.54E-024.36E-020.8470.22

    2.75E-023.10E-020.9160.152.75E-023.62E-020.9160.18

    2.97E-022.34E-020.9910.122.97E-022.96E-020.9910.15

    3.22E-021.67E-021.0730.083.22E-022.08E-021.0730.10

    3.48E-021.11E-021.1610.063.48E-022.93E-031.1610.01

    3.77E-026.48E-031.2550.033.77E-022.89E-031.2550.01

    4.07E-023.09E-031.3560.024.07E-022.85E-031.3560.01

    4.39E-029.93E-041.4630.004.39E-022.82E-031.4630.01

    4.73E-021.68E-041.5760.004.73E-022.80E-031.5760.01

    5.08E-021.69E-051.6950.005.08E-022.78E-031.6950.01

    5.46E-021.38E-061.8210.005.46E-022.76E-031.8210.01

    5.86E-021.12E-071.9520.005.86E-022.75E-031.9520.01

    6.27E-029.17E-092.0910.006.27E-022.75E-032.0910.01

    4D

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    00000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Lemoine

    Chen et al.

    Rodi & Chen

    Y/Diam

    W1/Win

    MBD00006CA7.unknown

    MBD000080E9.unknown

    MBD00095FE8.unknown

    MBD0009E49B.unknown

    MBD001E42C8.unknown

    MBD001E4649.unknown

    MBD001E4648.unknown

    MBD001E3F02.unknown

    MBD001E42C7.unknown

    MBD001E3F01.unknown

    MBD00099423.unknown

    MBD0009E49A.unknown

    MBD00099422.unknown

    MBD0006241E.unknown

    MBD00095FE7.unknown

    MBD0006241D.unknown

    MBD00007582.unknown

    MBD000080E7.unknown

    MBD000080E8.unknown

    MBD000080E6.unknown

    MBD00007580.unknown

    MBD00007581.unknown

    MBD0000757F.unknown

    MBD00006CA5.unknown

    MBD00006CA6.unknown

    MBD00006CA4.unknown

  • Turbulence Intensity profiles Fig.(5-a): Velocity fluctuations profiles at Z=2D.

    Graph1

    0.02853880.06957998990.0687969839

    0.02968040.06977589130.0688265937

    0.03139270.07022499560.0688982946

    0.03710050.0710510380.0690421972

    0.0433790.07245757380.0693188286

    0.05536530.0747275050.0698414275

    0.066210.07818567640.0708108396

    0.07420090.08311663490.0725515334

    0.09360730.08967064740.07551672

    0.1061640.09781155350.0802091017

    0.1158680.10732182910.0870136484

    0.1261420.11784523750.0960312449

    0.1358450.12893971460.1070135505

    0.1489730.14012681760.1194065534

    0.1672370.15093351190.1324571629

    0.1740870.16092467180.145335388

    0.1900680.16972772310.1572445548

    0.1849320.17705013410.1675052238

    0.1746580.18269715380.1756153467

    0.1506850.18657840180.1812946497

    0.139840.18870744550.1835803639

    0.1312790.18919236240.184488482

    0.1227170.18820334750.1849094373

    0.1135840.18594152310.184871577

    0.1010270.18260887160.1844064804

    0.08789950.18018670870.1838389241

    0.0764840.17880715870.1832184489

    0.06335620.17582164260.1815626614

    0.05079910.1708530070.1781888044

    0.03938360.16348547340.1723608134

    0.02682650.15333965570.1634655927

    0.02283110.14030449030.1510489987

    0.01769410.12464238850.135215846

    0.0154110.10682567580.1165990995

    0.01426940.08746356380.0959981771

    0.01198630.06722183430.0742603528

    0.01255710.04684236860.0522685374

    0.01141550.02763263470.0313639921

    0.01198630.01239664270.0144314154

    0.01084470.00395238540.0046962352

    0.0102740.00104062360.0012309468

    0.0102740.00026566660.0003112567

    0.0102740.00006400960.0000778311

    0.00970320.000050.00005

    0.0102740.000050.00005

    0.009132420.000050.00005

    0.008561640.000050.00005

    0.008561640.000050.00005

    0

    0

    0.0003375

    0.0010125

    0.0016875

    0.0023625

    0.0030375

    0.0037125

    0.0043875

    0.0050625

    0.0057375

    0.0064125

    0.0070875

    0.0077625

    0.0084375

    0.0091125

    0.0097875

    0.0104625

    0.0111375

    0.0118125

    0.0124875

    0.0131625

    0.01365

    0.01395

    0.01425

    0.01455

    0.01485

    0.0150471

    0.0152355

    0.0156124

    0.0161777

    0.0169314

    0.0178735

    exp de Hui Hu

    (k-e)

    (k-e) modified

    Y/D

    w'w''^0.5/Win

    2D

    Rsultats numriquesRsultats xprimentals

    YKe

    3.00E-041.94E-040.0100.01390.06960.0000.029

    9.00E-041.95E-040.0300.01400.06980.0350.030

    1.50E-031.97E-040.0500.01400.07020.0830.031

    2.10E-032.02E-040.0700.01420.07110.1420.037

    2.70E-032.10E-040.0900.01450.07250.1940.043

    3.30E-032.23E-040.1100.01490.07470.2360.055

    3.90E-032.45E-040.1300.01560.07820.2670.066

    4.50E-032.76E-040.1500.01660.08310.2910.074

    5.10E-033.22E-040.1700.01790.08970.3150.094

    5.70E-033.83E-040.1900.01960.09780.3330.106

    6.30E-034.61E-040.2100.02150.10730.3430.116

    6.90E-035.56E-040.2300.02360.11780.3570.126

    7.50E-036.65E-040.2500.02580.12890.3780.136

    8.10E-037.85E-040.2700.02800.14010.3990.149

    8.70E-039.11E-040.2900.03020.15090.4120.167

    9.30E-031.04E-030.3100.03220.16090.4230.174

    9.90E-031.15E-030.3300.03390.16970.4400.190

    1.05E-021.25E-030.3500.03540.17710.4540.185

    1.11E-021.34E-030.3700.03650.18270.5100.175

    1.17E-021.39E-030.3900.03730.18660.5650.151

    1.23E-021.42E-030.4100.03770.18870.5890.140

    1.29E-021.43E-030.4300.03780.18920.5860.131

    1.35E-021.42E-030.4500.03760.18820.6200.123

    1.41E-021.38E-030.4700.03720.18590.6240.114

    1.47E-021.33E-030.4900.03650.18260.6310.101

    1.50E-021.30E-030.5020.03600.18020.6310.088

    1.52E-021.28E-030.5080.03580.17880.6480.076

    1.56E-021.24E-030.5200.03520.17580.6620.063

    1.62E-021.17E-030.5390.03420.17090.6790.051

    1.69E-021.07E-030.5640.03270.16350.7110.039

    1.79E-029.41E-040.5960.03070.15330.7520.027

    1.90E-027.87E-040.6330.02810.14030.7970.023

    2.03E-026.21E-040.6770.02490.12460.8390.018

    2.18E-024.56E-040.7280.02140.10680.9080.015

    2.35E-023.06E-040.7840.01750.08750.9740.014

    2.54E-021.81E-040.8470.01340.06721.0230.012

    2.75E-028.78E-050.9160.00940.04681.0880.013

    2.97E-023.05E-050.9910.00550.02761.1470.011

    3.22E-026.15E-061.0730.00250.01241.2130.012

    3.48E-026.25E-071.1610.00080.00401.2830.011

    3.77E-024.33E-081.2550.00020.00101.3620.010

    4.07E-022.82E-091.3560.00010.00031.4420.010

    4.39E-021.64E-101.4630.00000.00011.5180.010

    4.73E-021.00E-101.5760.00000.00011.5910.010

    5.08E-021.00E-101.6950.00000.00011.6570.010

    5.46E-021.00E-101.8210.00000.00011.7330.009

    5.86E-021.00E-101.9520.00000.00011.8020.009

    6.27E-021.00E-102.0910.00000.00011.8440.009

    Chen et al,Chen et rodi

    YKeYKe

    3.38E-041.89E-040.0110.01380.06883.38E-041.89E-040.0110.01380.0688

    1.01E-031.89E-040.0340.01380.06881.01E-031.89E-040.0340.01380.0688

    1.69E-031.90E-040.0560.01380.06891.69E-031.90E-040.0560.01380.0689

    2.36E-031.91E-040.0790.01380.06902.36E-031.90E-040.0790.01380.0690

    3.04E-031.92E-040.1010.01390.06933.04E-031.92E-040.1010.01390.0693

    3.71E-031.95E-040.1240.01400.06983.71E-031.95E-040.1240.01400.0698

    4.39E-032.01E-040.1460.01420.07084.39E-032.01E-040.1460.01420.0708

    5.06E-032.11E-040.1690.01450.07265.06E-032.11E-040.1690.01450.0726

    5.74E-032.28E-040.1910.01510.07555.74E-032.29E-040.1910.01510.0756

    6.41E-032.57E-040.2140.01600.08026.41E-032.59E-040.2140.01610.0805

    7.09E-033.03E-040.2360.01740.08707.09E-033.07E-040.2360.01750.0876

    7.76E-033.69E-040.2590.01920.09607.76E-033.77E-040.2590.01940.0971

    8.44E-034.58E-040.2810.02140.10708.44E-034.72E-040.2810.02170.1087

    9.11E-035.70E-040.3040.02390.11949.11E-035.94E-040.3040.02440.1219

    9.79E-037.02E-040.3260.02650.13259.79E-037.40E-040.3260.02720.1360

    1.05E-028.45E-040.3490.02910.14531.05E-029.02E-040.3490.03000.1502

    1.11E-029.89E-040.3710.03140.15721.11E-021.07E-030.3710.03270.1635

    1.18E-021.12E-030.3940.03350.16751.18E-021.23E-030.3940.03510.1753

    1.25E-021.23E-030.4160.03510.17561.25E-021.37E-030.4160.03700.1849

    1.32E-021.31E-030.4390.03630.18131.32E-021.47E-030.4390.03830.1916

    1.37E-021.35E-030.4550.03670.18361.37E-021.51E-030.4550.03890.1944

    1.40E-021.36E-030.4650.03690.18451.40E-021.53E-030.4650.03910.1955

    1.43E-021.37E-030.4750.03700.18491.43E-021.54E-030.4750.03920.1961

    1.46E-021.37E-030.4850.03700.18491.46E-021.54E-030.4850.03920.1962

    1.49E-021.36E-030.4950.03690.18441.49E-021.53E-030.4950.03920.1958

    1.50E-021.35E-030.5020.03680.18381.50E-021.52E-030.5020.03900.1952

    1.52E-021.34E-030.5080.03660.18321.52E-021.51E-030.5080.03890.1946

    1.56E-021.32E-030.5200.03630.18161.56E-021.49E-030.5200.03860.1929

    1.62E-021.27E-030.5390.03560.17821.62E-021.43E-030.5390.03780.1892

    1.69E-021.19E-030.5640.03450.17241.69E-021.34E-030.5640.03660.1829

    1.79E-021.07E-030.5960.03270.16351.79E-021.20E-030.5960.03470.1734

    1.90E-029.13E-040.6330.03020.15101.90E-021.03E-030.6330.03220.1608

    2.03E-027.31E-040.6770.02700.13522.03E-028.45E-040.6770.02910.1454

    2.18E-025.44E-040.7280.02330.11662.18E-026.16E-040.7280.02480.1241

    2.35E-023.69E-040.7840.01920.09602.35E-024.50E-040.7840.02120.1061

    2.54E-022.21E-040.8470.01490.07432.54E-021.00E-100.8470.00800.0400

    2.75E-021.09E-040.9160.01050.05232.75E-021.00E-100.9160.00200.0100

    2.97E-023.93E-050.9910.00630.03142.97E-021.00E-100.9910.00000.0001

    3.22E-028.33E-061.0730.00290.01443.22E-021.00E-101.0730.00000.0001

    3.48E-028.82E-071.1610.00090.00473.48E-021.00E-101.1610.00000.0001

    3.77E-026.06E-081.2550.00020.00123.77E-021.00E-101.2550.00000.0001

    4.07E-023.88E-091.3560.00010.00034.07E-021.00E-101.3560.00000.0001

    4.39E-022.42E-101.4630.00000.00014.39E-021.00E-101.4630.00000.0001

    4.73E-021.00E-101.5760.00000.00014.73E-021.00E-101.5760.00000.0001

    5.08E-021.00E-101.6950.00000.00015.08E-021.00E-101.6950.00000.0001

    5.46E-021.00E-101.8210.00000.00015.46E-021.00E-101.8210.00000.0001

    5.86E-021.00E-101.9520.00000.00015.86E-021.00E-101.9520.00000.0001

    6.27E-021.00E-102.0910.00000.00016.27E-021.00E-102.0910.00000.0001

    2D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    0

    0

    0

    0

    0

    exp

    Modle k-e standard

    Chen et al

    Rodi & Chen

    Y/Diam

    w'w''^0.5/Win

    3D

    Rsultats numriquesRsultats xprimentals

    YKe

    3.00E-041.93E-040.0100.01390.06950.0000.071

    9.00E-042.01E-040.0300.01420.07080.0350.076

    1.50E-032.16E-040.0500.01470.07350.1010.081

    2.10E-032.40E-040.0700.01550.07750.1320.086

    2.70E-032.74E-040.0900.01650.08270.1560.093

    3.30E-033.18E-040.1100.01780.08920.1730.098

    3.90E-033.73E-040.1300.01930.09650.1940.103

    4.50E-034.37E-040.1500.02090.10460.2080.112

    5.10E-035.11E-040.1700.02260.11300.2360.122

    5.70E-035.92E-040.1900.02430.12170.2530.134

    6.30E-036.78E-040.2100.02600.13020.2880.138

    6.90E-037.66E-040.2300.02770.13840.3020.143

    7.50E-038.53E-040.2500.02920.14610.3190.161

    8.10E-039.37E-040.2700.03060.15310.3290.171

    8.70E-031.02E-030.2900.03190.15930.3470.184

    9.30E-031.09E-030.3100.03290.16470.3740.197

    9.90E-031.14E-030.3300.03380.16920.3990.201

    1.05E-021.19E-030.3500.03450.17270.4540.210

    1.11E-021.23E-030.3700.03510.17530.4230.197

    1.17E-021.25E-030.3900.03540.17700.4920.203

    1.23E-021.27E-030.4100.03560.17790.4920.199

    1.29E-021.27E-030.4300.03560.17790.5060.196

    1.35E-021.26E-030.4500.03550.17730.5650.196

    1.41E-021.24E-030.4700.03520.17590.6200.184

    1.47E-021.21E-030.4900.03480.17400.6450.172

    1.50E-021.19E-030.5020.03450.17260.6830.162

    1.52E-021.18E-030.5080.03440.17190.6930.155

    1.56E-021.16E-030.5200.03400.17010.7180.146

    1.62E-021.12E-030.5390.03340.16720.7560.123

    1.69E-021.06E-030.5640.03260.16290.7900.115

    1.79E-029.83E-040.5960.03140.15680.8320.100

    1.90E-028.85E-040.6330.02970.14870.8530.089

    2.03E-027.67E-040.6770.02770.13850.8840.076

    2.18E-026.37E-040.7280.02520.12620.8700.083

    2.35E-025.04E-040.7840.02240.11220.9150.067

    2.54E-023.75E-040.8470.01940.09680.9670.055

    2.75E-022.59E-040.9160.01610.08051.0090.041

    2.97E-021.63E-040.9910.01280.06381.0680.034

    3.22E-028.87E-051.0730.00940.04711.1200.031

    3.48E-023.85E-051.1610.00620.03101.1540.025

    3.77E-021.13E-051.2550.00340.01681.2100.015

    4.07E-021.81E-061.3560.00130.00671.2620.013

    4.39E-021.58E-071.4630.00040.00201.3000.013

    4.73E-021.11E-081.5760.00010.00051.3550.011

    5.08E-027.59E-101.6950.00000.00011.4040.010

    5.46E-021.00E-101.8210.00000.00011.4700.010

    5.86E-021.00E-101.9520.00000.00011.5360.009

    6.27E-021.00E-102.0910.00000.00011.6120.009

    1.6810.009

    1.7500.009

    1.8230.009

    Chen et al,Chen et Rodi

    YKeYKe

    3.38E-041.50E-040.0110.01230.06133.38E-041.50E-040.0110.01220.0612

    1.01E-031.52E-040.0340.01230.06161.01E-031.51E-040.0340.01230.0615

    1.69E-031.55E-040.0560.01240.06221.69E-031.55E-040.0560.01240.0622

    2.36E-031.61E-040.0790.01270.06352.36E-031.61E-040.0790.01270.0635

    3.04E-031.72E-040.1010.01310.06563.04E-031.73E-040.1010.01310.0657

    3.71E-031.90E-040.1240.01380.06903.71E-031.91E-040.1240.01380.0692

    4.39E-032.18E-040.1460.01480.07384.39E-032.20E-040.1460.01480.0742

    5.06E-032.58E-040.1690.01610.08035.06E-032.62E-040.1690.01620.0809

    5.74E-033.12E-040.1910.01770.08835.74E-033.18E-040.1910.01780.0891

    6.41E-033.80E-040.2140.01950.09756.41E-033.89E-040.2140.01970.0987

    7.09E-034.62E-040.2360.02150.10757.09E-034.76E-040.2360.02180.1090

    7.76E-035.56E-040.2590.02360.11797.76E-035.74E-040.2590.02400.1198

    8.44E-036.57E-040.2810.02560.12828.44E-036.82E-040.2810.02610.1305

    9.11E-037.61E-040.3040.02760.13809.11E-037.93E-040.3040.02820.1408

    9.79E-038.64E-040.3260.02940.14709.79E-039.04E-040.3260.03010.1504

    1.05E-029.60E-040.3490.03100.15491.05E-021.01E-030.3490.03180.1589

    1.11E-021.05E-030.3710.03230.16171.11E-021.10E-030.3710.03320.1661

    1.18E-021.12E-030.3940.03340.16721.18E-021.18E-030.3940.03440.1720

    1.25E-021.17E-030.4160.03430.17131.25E-021.25E-030.4160.03530.1765

    1.32E-021.21E-030.4390.03480.17411.32E-021.29E-030.4390.03590.1796

    1.37E-021.23E-030.4550.03500.17521.37E-021.31E-030.4550.03620.1809

    1.40E-021.23E-030.4650.03510.17571.40E-021.32E-030.4650.03630.1814

    1.43E-021.24E-030.4750.03520.17591.43E-021.32E-030.4750.03630.1817

    1.46E-021.24E-030.4850.03520.17581.46E-021.32E-030.4850.03630.1817

    1.49E-021.23E-030.4950.03510.17561.49E-021.32E-030.4950.03630.1815

    1.50E-021.23E-030.5020.03510.17531.50E-021.31E-030.5020.03620.1812

    1.52E-021.23E-030.5080.03500.17501.52E-021.31E-030.5080.03620.1809

    1.56E-021.21E-030.5200.03480.17411.56E-021.30E-030.5200.03600.1801

    1.62E-021.19E-030.5390.03450.17241.62E-021.27E-030.5390.03570.1784

    1.69E-021.14E-030.5640.03380.16921.69E-021.23E-030.5640.03500.1752

    1.79E-021.08E-030.5960.03280.16411.79E-021.16E-030.5960.03400.1701

    1.90E-029.84E-040.6330.03140.15691.90E-021.06E-030.6330.03250.1627

    2.03E-028.66E-040.6770.02940.14722.03E-029.37E-040.6770.03060.1530

    2.18E-027.27E-040.7280.02700.13482.18E-027.98E-040.7280.02830.1413

    2.35E-025.79E-040.7840.02410.12032.35E-026.55E-040.7840.02560.1280

    2.54E-024.33E-040.8470.02080.10402.54E-025.21E-040.8470.02280.1141

    2.75E-023.00E-040.9160.01730.08662.75E-024.02E-040.9160.02000.1002

    2.97E-021.88E-040.9910.01370.06852.97E-021.00E-100.9910.01200.0600

    3.22E-021.02E-041.0730.01010.05053.22E-021.00E-101.0730.00800.0400

    3.48E-024.40E-051.1610.00660.03323.48E-021.00E-101.1610.00200.0100

    3.77E-021.27E-051.2550.00360.01783.77E-021.00E-101.2550.00000.0001

    4.07E-021.99E-061.3560.00140.00714.07E-021.00E-101.3560.00000.0001

    4.39E-021.67E-071.4630.00040.00204.39E-021.00E-101.4630.00000.0001

    4.73E-021.13E-081.5760.00010.00054.73E-021.00E-101.5760.00000.0001

    5.08E-027.48E-101.6950.00000.00015.08E-021.00E-101.6950.00000.0001

    5.46E-021.00E-101.8210.00000.00015.46E-021.00E-101.8210.00000.0001

    5.86E-021.00E-101.9520.00000.00015.86E-021.00E-101.9520.00000.0001

    6.27E-021.00E-102.0910.00000.00016.27E-021.00E-102.0910.00000.0001

    3D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Chen et al.

    Rodi & Chen

    Y/Diam

    w'w'^0.5/Win

    4D

    Rsultats numriquesRsultats xprimentals

    YKe

    3.00E-043.48E-040.0100.01860.09320.0000.085

    9.00E-043.61E-040.0300.01900.09500.0270.089

    1.50E-033.86E-040.0500.01960.09820.0580.093

    2.10E-034.22E-040.0700.02060.10280.0790.098

    2.70E-034.68E-040.0900.02160.10820.1130.106

    3.30E-035.22E-040.1100.02280.11420.1270.111

    3.90E-035.81E-040.1300.02410.12050.1410.124

    4.50E-036.44E-040.1500.02540.12690.1550.130

    5.10E-037.09E-040.1700.02660.13310.1720.138

    5.70E-037.74E-040.1900.02780.13910.1920.154

    6.30E-038.38E-040.2100.02890.14470.2030.164

    6.90E-038.99E-040.2300.03000.14990.2240.170

    7.50E-039.56E-040.2500.03090.15460.2510.174

    8.10E-031.01E-030.2700.03170.15870.3030.182

    8.70E-031.05E-030.2900.03240.16220.3380.192

    9.30E-031.09E-030.3100.03300.16520.3620.197

    9.90E-031.12E-030.3300.03350.16760.3790.201

    1.05E-021.15E-030.3500.03390.16940.4070.206

    1.11E-021.17E-030.3700.03410.17070.4520.197

    1.17E-021.18E-030.3900.03430.17150.4870.192

    1.23E-021.18E-030.4100.03440.17180.5630.187

    1.29E-021.18E-030.4300.03430.17160.6390.173

    1.35E-021.17E-030.4500.03420.17100.6570.161

    1.41E-021.16E-030.4700.03400.17000.6810.156

    1.47E-021.14E-030.4900.03370.16860.7090.142

    1.50E-021.12E-030.5020.03350.16760.7580.132

    1.52E-021.12E-030.5080.03340.16710.7850.132

    1.56E-021.10E-030.5200.03320.16590.8170.124

    1.62E-021.07E-030.5390.03280.16390.8440.121

    1.69E-021.03E-030.5640.03220.16080.8720.118

    1.79E-029.81E-040.5960.03130.15660.8900.114

    1.90E-029.11E-040.6330.03020.15100.9070.108

    2.03E-028.27E-040.6770.02880.14380.9310.105

    2.18E-027.28E-040.7280.02700.13490.9630.095

    2.35E-026.19E-040.7840.02490.12440.9770.089

    2.54E-025.06E-040.8470.02250.11240.9940.080

    2.75E-023.95E-040.9160.01990.09931.0040.074

    2.97E-022.92E-040.9910.01710.08541.0390.062

    3.22E-022.02E-041.0730.01420.07101.0770.060

    3.48E-021.28E-041.1610.01130.05651.1050.055

    3.77E-027.10E-051.2550.00840.04211.1260.050

    4.07E-023.22E-051.3560.00570.02841.1570.043

    4.39E-021.03E-051.4630.00320.01601.1880.041

    4.73E-021.86E-061.5760.00140.00681.2270.037

    5.08E-021.78E-071.6950.00040.00211.2510.033

    5.46E-021.28E-081.8210.00010.00061.2790.027

    5.86E-028.82E-101.9520.00000.00011.3130.024

    6.27E-021.00E-102.0910.00000.00011.3520.021

    1.3970.017

    1.4310.018

    1.4730.015

    1.5320.012

    1.5910.011

    1.6360.011

    1.6910.010

    Chen et al,Chen et Rodi

    YKeYKe

    3.38E-041.60E-040.0110.01260.06323.38E-041.59E-040.0110.01260.0631

    1.01E-031.68E-040.0340.01290.06471.01E-031.67E-040.0340.01290.0646

    1.69E-031.84E-040.0560.01360.06781.69E-031.84E-040.0560.01360.0678

    2.36E-032.10E-040.0790.01450.07242.36E-032.10E-040.0790.01450.0724

    3.04E-032.46E-040.1010.01570.07843.04E-032.46E-040.1010.01570.0785

    3.71E-032.93E-040.1240.01710.08553.71E-032.94E-040.1240.01720.0858

    4.39E-033.50E-040.1460.01870.09354.39E-033.52E-040.1460.01880.0939

    5.06E-034.16E-040.1690.02040.10205.06E-034.20E-040.1690.02050.1025

    5.74E-034.90E-040.1910.02210.11075.74E-034.96E-040.1910.02230.1114

    6.41E-035.70E-040.2140.02390.11946.41E-035.78E-040.2140.02400.1202

    7.09E-036.52E-040.2360.02550.12777.09E-036.64E-040.2360.02580.1288

    7.76E-037.35E-040.2590.02710.13567.76E-037.49E-040.2590.02740.1369

    8.44E-038.16E-040.2810.02860.14288.44E-038.34E-040.2810.02890.1444

    9.11E-038.91E-040.3040.02990.14939.11E-039.13E-040.3040.03020.1511

    9.79E-039.60E-040.3260.03100.15499.79E-039.86E-040.3260.03140.1570

    1.05E-021.02E-030.3490.03200.15981.05E-021.05E-030.3490.03240.1621

    1.11E-021.07E-030.3710.03270.16371.11E-021.11E-030.3710.03330.1663

    1.18E-021.11E-030.3940.03340.16681.18E-021.15E-030.3940.03390.1696

    1.25E-021.14E-030.4160.03380.16911.25E-021.18E-030.4160.03440.1720

    1.32E-021.16E-030.4390.03410.17061.32E-021.21E-030.4390.03470.1737

    1.37E-021.17E-030.4550.03420.17111.37E-021.21E-030.4550.03490.1743

    1.40E-021.17E-030.4650.03430.17131.40E-021.22E-030.4650.03490.1745

    1.43E-021.17E-030.4750.03430.17141.43E-021.22E-030.4750.03490.1746

    1.46E-021.17E-030.4850.03430.17131.46E-021.22E-030.4850.03490.1746

    1.49E-021.17E-030.4950.03420.17111.49E-021.22E-030.4950.03490.1744

    1.50E-021.17E-030.5020.03420.17081.50E-021.21E-030.5020.03480.1742

    1.52E-021.16E-030.5080.03410.17061.52E-021.21E-030.5080.03480.1740

    1.56E-021.16E-030.5200.03400.17001.56E-021.20E-030.5200.03470.1734

    1.62E-021.14E-030.5390.03370.16871.62E-021.19E-030.5390.03450.1723

    1.69E-021.11E-030.5640.03330.16661.69E-021.16E-030.5640.03400.1702

    1.79E-021.06E-030.5960.03260.16311.79E-021.11E-030.5960.03340.1669

    1.90E-021.00E-030.6330.03160.15821.90E-021.05E-030.6330.03240.1620

    2.03E-029.17E-040.6770.03030.15142.03E-029.67E-040.6770.03110.1555

    2.18E-028.16E-040.7280.02860.14282.18E-028.69E-040.7280.02950.1474

    2.35E-026.99E-040.7840.02640.13222.35E-027.63E-040.7840.02760.1381

    2.54E-025.74E-040.8470.02400.11982.54E-026.62E-040.8470.02570.1287

    2.75E-024.49E-040.9160.02120.10592.75E-025.83E-040.9160.02410.1207

    2.97E-023.32E-040.9910.01820.09112.97E-025.45E-040.9910.02100.1051

    3.22E-022.29E-041.0730.01510.07563.22E-021.81E-101.0730.01350.0673

    3.48E-021.44E-041.1610.01200.05993.48E-021.00E-101.1610.00600.0300

    3.77E-027.88E-051.2550.00890.04443.77E-021.00E-101.2550.00300.0150

    4.07E-023.50E-051.3560.00590.02964.07E-021.00E-101.3560.00000.0001

    4.39E-021.07E-051.4630.00330.01644.39E-021.00E-101.4630.00000.0001

    4.73E-021.83E-061.5760.00140.00684.73E-021.00E-101.5760.00000.0001

    5.08E-021.63E-071.6950.00040.00205.08E-021.00E-101.6950.00000.0001

    5.46E-021.12E-081.8210.00010.00055.46E-021.00E-101.8210.00000.0001

    5.86E-027.44E-101.9520.00000.00015.86E-021.00E-101.9520.00000.0001

    6.27E-021.00E-102.0910.00000.00016.27E-021.00E-102.0910.00000.0001

    4D

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    000

    000

    000

    000

    000

    000

    000

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Modle k-e standard

    exp

    Chen et al.

    Rodi & Chen

    Y/Diam

    w'w'^0.5/Win

    MBD0007A973.unknown

    MBD000A7850.unknown

    MBD001074F6.unknown

    MBD0010C403.unknown

    MBD0010CA37.unknown

    MBD0010CE34.unknown

    MBD0010CE35.unknown

    MBD0010CE33.unknown

    MBD0010CA35.unknown

    MBD0010CA36.unknown

    MBD0010C404.unknown

    MBD00107722.unknown

    MBD00107724.unknown

    MBD0010C402.unknown

    MBD00107723.unknown

    MBD001075F5.unknown

    MBD001075F6.unknown

    MBD001075F4.unknown

    MBD000AB6F3.unknown

    MBD001074F4.unknown

    MBD001074F5.unknown

    MBD000AB6F4.unknown

    MBD000A7852.unknown

    MBD000AB6F2.unknown

    MBD000A7851.unknown

    MBD0007A977.unknown

    MBD000A4F33.unknown

    MBD000A4F34.unknown

    MBD000A4F32.unknown

    MBD0007A975.unknown

    MBD0007A976.unknown

    MBD0007A974.