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Tensorial Time Scales for Turbulent Gradient Transport of Reynolds Stresses

레이놀즈 응력의 난류구배수송을 위한 텐서시간척도

  • 조중원 (한국과학기술원 기계공학과) ;
  • 김경연 (한국과학기술원 기계공학과) ;
  • 성형진 (한국과학기술원 기계공학과) ;
  • 정명균 (한국과학기술원 기계공학과)
  • Published : 2005.06.01

Abstract

On the notion that the Reynolds stresses are transported with different time scale depending on the transport direction, the third order velocity correlations are represented by a new turbulent gradient transport model with tonsorial Lagrangian time scale. In order to verify the proposed model, DNS data are first obtained in a turbulent channel flow at Re = 180 and tonsorial Lagrangian time scales are computed. The present model predictions are compared with DNS data and those predicted by the third-order turbulent transport model of Hanjalic and Launder that uses a scalar time scale. The result demonstrates that the Reynolds stresses are indeed transported with different time scale depending on the transport direction.

Keywords

References

  1. Tennekes, H. and Lumley, J. L., 1972, A First Course in Turbulence, The MIT Press
  2. Yeung, P. K., 2002, 'Lagrangian Investigation of Turbulence,' Annu. Rev. Fluid Mech., Vol. 34, pp. 115-142 https://doi.org/10.1146/annurev.fluid.34.082101.170725
  3. Yeung, P. K. and Pope, S. B., 1988, 'An Algorithm for Tracking Fluid Particles in Numerical Simulations of Homogeneous Turbulence,' J. Comp. Phys., Vol. 79, pp. 373-416 https://doi.org/10.1016/0021-9991(88)90022-8
  4. Balachandar, S. and Maxey, M. R., 1989, 'Methods for Evaluating Fluid Velocities in Spectral Simulations of Turbulence,' J. Comp. Phys., Vol. 83, pp. 96-125 https://doi.org/10.1016/0021-9991(89)90224-6
  5. Kontomaris, K. and Hanratty, T. J., 1992, 'An Algorithm for Tracking Fluid Particles in a Spectral Simulation of Turbulence Channel Flow,' J. Comp. Phys., Vol. 103, pp. 231-242 https://doi.org/10.1016/0021-9991(92)90398-I
  6. Chio, J. I. and Lee, C. H., 2003, 'Lagrangian Investigation of Turbulent Channel Flow (I)- An Assessment of Particle Tracking Algorithms-,' Trans. of the KSME (B), Vol. 27, No.7, pp. 859-866 https://doi.org/10.3795/KSME-B.2003.27.7.859
  7. Bernard, P. S. and Handler, R. A., 1990, 'Reynolds Stress and the Physics of Turbulent Momentum Transport,' J. Fluid Mech., Vol. 220, pp. 99-124 https://doi.org/10.1017/S0022112090003202
  8. Bernard, P. S., Ashmawey, M. F. and Handler, R. A., 1989, 'Analysis of Particle Trajectories in Computer-simulated Turbulent Channel Flow,' Phys. Fluids A, Vol. 1, pp. 1532-1540 https://doi.org/10.1063/1.857330
  9. Hinze, 1959, Turbulence, Mcgraw-Hill
  10. Squires, K. D. and Eaton, J. K., 1991, 'Lagrangian and Eulerian Statistics Obtained from Direct Numerical Simulations of Homogeneous Turbulence,' Phy. Fluids A, Vol. 3, pp. 130-143 https://doi.org/10.1063/1.857872
  11. Shen, P. and Yeung, P. K., 1997, 'Fluid Particle Dispersion in Homogeneous Turbulent Shear Flow,' Phys. Fluids, Vol. 9, pp. 3472-3484 https://doi.org/10.1063/1.869456
  12. Fung, J. C. H., 1996, 'Shear Flow Turbulence Structure and its Lagrangian Statistics,' Fluid Dynamics Research, Vol. 17, pp. 147-180 https://doi.org/10.1016/0169-5983(95)00031-3
  13. Iliopoulos, I. and Hanratty, T. J., 'Turbulent Dispersion in a Nonhomogeneous Field,' J. Fluid Mech., Vol. 392, pp. 45-71 https://doi.org/10.1017/S0022112099005431
  14. Choi, J. I., Yeo, K. M. and Lee, C. H., 2004, 'Lagrangian Statistics in Turbulent Channel Flow,' Phys. Fluids, Vol. 16, pp. 779-794 https://doi.org/10.1063/1.1644576
  15. Schwarz, W. R. and Bradshaw, P., 1994, 'Term-by-term Tests of Stress-Transport Turbulence Models in a Three-Dimensional Boundary Layer,' Phys. Fluids, Vol. 6, pp. 986-998 https://doi.org/10.1063/1.868330
  16. Daly, B. J. and Harlow, F. H., 1970, 'Transport Equation in Turbulence,' Phys. Fluids., Vol. 13, pp. 2634-2649 https://doi.org/10.1063/1.1692845
  17. Hanjalic, K. and Launder, B. E., 1972, 'A Reynolds-Stress Model of Turbulence and its Application to Thin Shear Flows,' J. Fluid Mech., Vol. 52, pp. 609-639 https://doi.org/10.1017/S002211207200268X
  18. Mellor, G. L. and Herring, H. J., 1973, 'A Survey of the Mean Turbulent Field Closure Models,' AIAA J., Vol. 11, pp. 590-599 https://doi.org/10.2514/3.6803
  19. Kim, K., Baek, S. J. and Sung, H. J., 2002, 'An Implicit Velocity Decoupling Procedure for the Incompressible Navier-Stokes Equations,' Int. J. Numer. Meth. Fludis., Vol. 38, Issue.2, pp. 125-138 https://doi.org/10.1002/fld.205
  20. Moin, P. and Mahesh, K., 1998, 'Direct Numerical Simulation : A Tool in Turbulence Research,' Annu. Rev. Fluid Mech., Vol. 30, pp. 539-578 https://doi.org/10.1146/annurev.fluid.30.1.539
  21. Pope, S. B., 2000, Turbulent Flows, Cambridge University Press