Analyzing the influence of compressibility on the rapid pressure-strain rate correlation in turbulent shear flows

Theoretical and Computational Fluid Dynamics

Volumn 21, Issue 3, 2007, Pages 171-199

  Thacker, W D ^a   Sarkar, S ^b   Gatski, T B ^c,d,e  

^a Saint Louis University   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c NASA LANGLEY RESEARCH CENTER   (United States)

^d OLD DOMINION UNIVERSITY   (United States)

^e ENSMA   (France)

Author keywords

Compressible turbulence; Supersonic shear flows; Turbulence theory

Indexed keywords

COMPRESSIBLE TURBULENCE; SUPERSONIC SHEAR FLOWS; TURBULENCE THEORY;

COMPRESSIBLE FLOW; GREEN'S FUNCTION; MACH NUMBER; MATHEMATICAL MODELS; TURBULENT FLOW; VELOCITY MEASUREMENT;

SHEAR FLOW;

COMPRESSIBLE FLOW; GREEN'S FUNCTION; MACH NUMBER; MATHEMATICAL MODELS; SHEAR FLOW; TURBULENT FLOW; VELOCITY MEASUREMENT;

COMPRESSIBLE FLOW; PRESSURE; SHEAR FLOW; STRAIN RATE; TURBULENCE; TURBULENT FLOW; WAVE EQUATION;

EID: 34247256013     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-007-0043-4     Document Type: Article

References (39)

1. Abramowitz, M., Stegun, A.: Handbook of Mathematical Functions. Dover, New York (1970)
2. Blaisdell, G.A., Coleman, G.N., Mansour, N.N.: Rapid distortion theory for compressible homogeneous turbulence under isotropic mean strain. Phys. Fluids. 8, 2692-2705 (1996)
3. Blaisdell, G.A., Mansour, N.N., Reynolds, W.C.: Compressibility effects on the growth and structure of homogeneous turbulent shear flow. J. Fluid Mech. 256, 443-485 (1993)
4. Bradshaw, P.: Compressible turbulent shear layers. Annu. Rev. Fluid Mech. 9, 33-54 (1977)
5. Cambon, C., Jacquin, L., Lubrano, J.L.: Toward a new reynolds stress model for rotating turbulent flows. Phys. Fluids A 4, 812-824 (1992)
6. Cambon, C., Scott, J.F.: Linear and nonlinear models of anisotropic turbulence. Annu. Rev. Fluid Mech. 31, 1-53 (1999)
7. Coleman, G., Kim, J., Moser, R.: Turbulent supersonic isothermal-wall channel flow. J. Fluid Mech. 305, 159-183 (1995)
8. Crow, S.C.: Viscoelastic properties of fine-grained incompressible turbulence. J. Fluid Mech. 33, 1-20 (1968)
9. Durbin, P.A., Reif, B.A.P.: Statistical Theory and Modeling for Turbulent Flows. Wiley, Chichester (2001)
10. Durbin, P.A., Zeman, O.: Rapid distortion theory for homogeneous compressed turbulence with application to modeling. J. Fluid Mech. 242, 349-370 (1992)
11. Foysi, H., Sarkar, S., Friedrich, R.: Compressibility effects and turbulence scalings in supersonic channel flow. J. Fluid Mech. 509, 207-216 (2004)
12. Freund, J.B., Lele, S.K., Moin, P.: Compressibility effects in a turbulent annular mixing layer. Part 1. Turbulence and growth rate. J. Fluid Mech. 421, 229-267 (2000)
13. Goldstein, M., Rice, E.: Effect of shear on duct wall impedance. J. Sound Vib. 30, 79-84 (1973)
14. Kline, S.J., Cantwell, B.J., Lilley, G.M.: Proc. 1980-81 afosr-httm-stanford conf. on complex turbulent flows, vol. 1. Tech. rep., Stanford University Press, Palo Alto (1982)
15. Koutsoyannis, S.P.: Characterization of acoustic disturbances in linearly sheared flows. J. Sound Vib. 68, 187-202 (1980)
16. Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon, Oxford (1987)
17. Launder, B.E., Reece, G.J., Rodi, W.: Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537-566 (1975)
18. Lele, S.K.: Compressibility effects on turbulence. Annu. Rev. Fluid Mech. 26, 211-254 (1994)
19. Lesieur, M.: Turbulence in Fluids. Kluwer, Dordrecht (1997)
20. Lumley, J.L.: Similarity and the turbulent energy spectrum. Phys. Fluids 10, 855-858 (1967)
21. Lumley, J.L.: Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123-176 (1978)
22. Mariano, S.: Effect of wall shear layers on the sound attenuation in acoustically lined rectangular ducts. J. Sound Vib. 19, 261-275 (1971)
23. Munger, P., Gladwell, G.M.L.: Acoustic wave propagation in a sheared fluid contained in a duct. J. Sound Vib. 9.28-48 (1969)
24. Pantano, C., Sarkar, S.: A study of compressibility effects in the high-speed turbulent shear layer using direct simulation. J. Fluid Mech. 451, 329-371 (2002)
25. Papamoschou, D.: Zones of influence in the compressible shear layer. Fluid Dyn. Res. 11, 217-228 (1993)
26. Papamoschou, D., Lele, S.K.: Vortex-induced disturbance field in a compressible shear layer. Phys. Fluids A 5, 1412-1419 (1993)
27. Papamoshou, D., Roshko, A.: The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197, 453-477 (1988)
28. Pirozzoli, S., Grasso, F., Gatski, T.B.: Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at m = 2.25. Phys. Fluids 16, 530-545 (2004)
29. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)
30. Reynolds, W.C.: Computation of turbulent flows. Annu. Rev. Fluid Mech. 8, 183-208 (1976)
31. Sarkar, S.: The stabilizing effect of compressibility in turbulent shear flow. J. Fluid Mech 282, 163-186 (1995)
32. Sarkar, S.: On density and pressure fluctuations in uniformly sheared compressible flow. In: Fulachier, L., Lumley, J.L., Anselmet, F. (eds.) Proc. IUTAM Symp. on Variable Density Low-Speed Flows (1996)
33. Shih, T.H., Reynolds, W.C., Mansour, N.N.: A spectrum model for weakly anisotropic turbulence. Phys. Fluids A 8, 1500-1502 (1990)
34. Simone, A., Coleman, G.N., Cambon, C.: The effect of compressibility on turbulent shear flow: a rapid-distortion-theory and direct-numerical-simulation study. J. Fluid Mech. 330, 307-338 (1997)
35. Smits, A.J., Dussauge, J.P.: Turbulent Shear Layers in Supersonic Flow. American Institute of Physics, New York (1996)
36. Speziale, C.G.: Analytical methods for the development of reynolds-stress closures in turbulence. Annu. Rev. Fluid Mech. 23, 107-157 (1991)
37. Suzuki, T., Lele, S.K.: Green's functions for a source in a mixing layer: direct waves, refracted arrival waves and instability waves. J. Fluid Mech. 477, 89-128 (2003)
38. Suzuki, T., Lele, S.K.: Green's functions for a source in a boundary layer: direct waves, channelled waves, and diffracted waves. J. Fluid Mech. 477, 129-173 (2003)
39. Vreman, A.W., Sandam, N.D., Luo, K.L.: Compressible mixing layer growth rate and turbulence characteristics. J. Fluid Mech. 320, 235-258 (1996)