Morkovin hypothesis and the modeling of wall-bounded compressible turbulent flows

AIAA Journal

Volumn 36, Issue 9, 1998, Pages 1583-1592

  So, R M C ^a   Gatski, T B ^b   Sommer, T P ^c  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b NASA LANGLEY RESEARCH CENTER   (United States)

^c ABB SWITZERLAND LTD   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012273387     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.584     Document Type: Article

References (42)

1. So, R. M. C., Lai, Y. G., Zhang, H. S., and Hwang, B. C., "Second-Order Near-Wall Turbulence Closures: A Review," AIAA Journal, Vol. 29, 1991, pp. 1819-1835.
2. Launder, B. C., Reece, G. J., and Rodi, W., "Progress in the Development of a Reynolds-Stress Turbulence Closure," Journal of Fluid Mechanics, Vol. 68, 1975, pp. 537-566.
3. Hanjalic, K., and Launder, B. E., "Contribution Towards a Reynolds-Stress Closure for Low-Reynolds-Number Turbulence," Journal of Fluid Mechanics, Vol. 74, 1976, pp. 593-610.
4. Prud'homme, M., and Elghobashi, S., "Prediction of Wall-Bounded Turbulent Flows with an Improved Version of a Reynolds-Stress Model," Proceedings of the 4th Symposium on Turbulent Shear Flows, 1983 (Paper 1.2).
5. So, R. M. C., and Yoo, G. J., "On the Modeling of Low-Reynolds-Number Turbulence," NASA CR-3994, 1986.
6. Shima, N., "A Reynolds-Stress Model for Near-Wall and Low-Reynolds-Number Regions," Journal of Fluids Engineering, Vol. 110, 1988, pp. 38-44.
7. Launder, B. E., and Shima, N., "Second-Moment Closure for the Near-Wall Sublayer: Development and Application," AIAA Journal, Vol. 27, 1989, Pp. 1319-1325.
8. Lai, Y. G., and So, R. M. C., "On Near-Wall Turbulent Flow Modeling," Journal of Fluid Mechanics. Vol. 221, 1990, pp. 641-673.
9. Kim, J., Moin, P., and Moser, R. D., "Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number," Journal of Fluid Mechanics, Vol. 177, 1987, pp. 133-186.
10. θ = 1410," Journal of Fluid Mechanics, Vol. 187, 1988, pp. 61-98.
11. Karlsson, R. I., and Johansson, T. G., "LDV Measurements of Higher Order Moments of Velocity Fluctuations in a Turbulent Boundary Layer," Laser Anemometry in Fluid Mechanics, edited by D. F. G. Durao et al., Ladoan - Instituto Superior Tecnico, Portugal, 1988, pp. 273-289.
12. Alfredsson, P. H., Johansson, A. V., Haritonidis, J. H., and Eckelmann, H., "The Fluctuating Wall Shear Stress and the Velocity Field in the Viscous Sublayer," Physics of Fluids, Vol. 31, 1988, pp. 1026-1033.
13. Wei, T., and Willmarth, W. W., "Reynolds-Number Effects on the Structure of a Turbulent Channel Flow," Journal of Fluid Mechanics, Vol. 204, 1989, pp. 57-95.
14. Nishino, K., and Kasagi, N., "Turbulence Statistics Measurements in a Two-Dimensional Channel Flow Using a Three-Dimensional Particle Tracking Velocimeter," Proceedings of the 7th Symposium on Turbulent Shear Flows, 1989 (Paper 22).
15. Durst, F., Jovanovic, J., and Sender, J., "Detailed Measurements of the Near Wall Region of Turbulent Pipe Flows," Proceedings of the 9th Symposium on Turbulent Shear Flows, 1993 (Paper 2.2).
16. Bandyopadhyay, P. R., and Gad-el-Hak, M., "Reynolds Number Effects in Wall-Bounded Turbulent Flows," U.S. Naval Undersea Warfare Center Div., NUWC-NPT TR 10296, Newport, RI, 1994.
17. So, R. M. C., Aksoy, H., Sommer, T. P., and Yuan, S. P., "Development of a Near-Wall Reynolds-Stress Closure Based on the SSG Model for the Pressure Strain," NASA CR-4618, 1994.
18. Speziale, C. G., Sarkar, S., and Gatski, T. B., "Modeling the Pressure-Strain Correlation of Turbulence: An Invariant Dynamical Systems Approach," Journal of Fluid Mechanics, Vol. 227, 1991, pp. 245-272.
19. Demuren, A. O., and Sarkar, S., "Perspective: Systematic Study of Reynolds Stress Closure Models in the Computations of Plane Channel Flows," Journal of Fluids Engineering, Vol. 115, 1993, pp. 5-12.
20. So, R. M. C., Aksoy, H., Sommer, T. P., and Yuan, S. P., "Modeling Reynolds Number Effects in Wall-Bounded Turbulent Flows," Journal of Fluids Engineering, Vol. 118, 1996, pp. 260-267.
21. Morkovin, M., "Effects of Compressibility on Turbulent Flows," Mecanique de la Turbulence, edited by A. Favre, Gordon and Breach, New York, 1962, pp. 367-380.
22. Sarkar, S., Erlebacher, G., Hussaini, M. Y., and Kreiss, H. O., "The Analysis and Modeling of Dilatational Terms in Compressible Turbulence," Journal of Fluid Mechanics, Vol. 227, 1991, pp. 473-493.
23. Speziale, C. G., and Sarkar, S., "Second-Order Closure Models for Supersonic Turbulent Flows," AIAA Paper 91-0217, 1991.
24. Zhang, H. S., So, R. M. C., Speziale, C. G., and Lai, Y. G., "A Near-Wall Two-Equation Model for Compressible Turbulent Flows," AIAA Journal, Vol. 31, 1993, pp. 196-199.
25. Zhang, H. S., So, R. M. C., Gatski, T. B., and Speziale, C. G., "A Near-Wall Second-Order Closure for Compressible Turbulent Flows," Near-Wall Turbulent Flows, edited by R. M. C. So, C. G. Speziale, and B. E. Launder, Elsevier, Amsterdam, 1993, pp. 209-218.
26. Sommer, T. P., So, R. M. C., and Zhang, H. S., "A Near-Wall Variable-Prandtl-Number Turbulence Model for Compressible Flows," AIAA Journal, Vol. 31, No. 1, 1993, pp. 27-35.
27. Sommer, T. P., So, R. M. C., and Zhang, H. S., "Supersonic Flow Calculations Using a Reynolds-Stress and a Thermal Eddy Diffusivity Turbulence Model," Journal of Fluids Engineering, Vol. 116, 1994, pp. 469-476.
28. Huang, P. G., Bradshaw, P., and Coakley, T. J., "A Skin Friction and Velocity Profile Family for Compressible Turbulent Boundary Layers," AIAA Journal, Vol. 31, 1993, pp. 1600-1604.
29. Rai, M. M., Gatski, T. B., and Erlebacher, G., "Direct Simulations of Spatially Evolving Supersonic Turbulent Boundary Layers" (submitted for publication).
30. Coles, D., "Measurements of Turbulent Friction on a Smooth Flat Plate in Supersonic Flow," Journal of the Aeronautical Sciences, Vol. 21, No. 6, 1954, pp. 433-448.
31. Watson, R. D., Harris, J. E., and Anders, J. B., "Measurements in a Transitional/Turbulent Mach 10 Boundary Layer at High Reynolds Numbers," AIAA Paper 73-165, 1973.
32. Winkler, E. M., and Cha, M. H., "Investigation of Flat Plate Hypersonic Turbulent Boundary Layers with Heat Transfer at a Mach Number of 5.2," NOL NAVORD Rept. 6631, 1959.
33. Fernholz, H. H., and Finley, P. J., "A Critical Compilation of Compressible Turbulent Boundary Layer Data," AGARDograph 223, 1977.
34. Kussoy, M. I., and Horstman, K. C., "Documentation of Two- and Three-Dimensional Shock-Wave Turbulent-Boundary-Layer Interaction Flows at Mach 8.2," NASA TM-103838, 1991.
35. Spina, E. F., and Smits, A. J., "Organized Structures in a Compressible, Turbulent Boundary Layer," Journal of Fluid Mechanics, Vol. 182, 1987, pp. 85-109.
36. Anderson, E. C., and Lewis, C. H., "Laminar or Turbulent Boundary-Layer Flows of Perfect Gases or Reacting Gas Mixtures in Chemical Equilibrium," NASA CR-1893, 1971.
37. So, R. M. C., Zhang, H. S., Gatski, T. B., and Speziale, C. G., "On Logarithmic Laws for Compressible Turbulent Boundary Layers," AIAA Journal, Vol. 32, 1994, pp. 2162-2168.
38. van Driest, E. R., "Turbulent Boundary Layer in Compressible Fluids," Journal of the Aeronautical Sciences, Vol. 18, 1951, pp. 145-160.
39. Millikan, C. B., "A Critical Discussion of Turbulent Flow in Channels and Circular Pipes," Proceedings of the Fifth International Congress on Applied Mechanics. Wiley, New York, 1939, pp. 386-392.
40. Sarkar, S., "The Stabilizing Effect of Compressibility in Turbulent Shear Flow," Journal of Fluid Mechanics, Vol. 282, 1995, pp. 163-186.
41. Simone, A., Coleman, G. N., and Cambon, C., "The Effect of Compressibility on Turbulent Shear Flow: A Rapid-Distortion-Theory and Direct-Numerical-Simulation Study," Journal of Fluid Mechanics, Vol. 330, 1997, pp. 307-338.
42. Sommer, T. P., So, R. M. C., and Lai, Y. G., "A Near-Wall Two-Equation Model for Turbulent Heat Fluxes," International Journal of Heat and Mass Transfer, Vol. 35, 1992, pp. 3375-3387.