Mach wave radiation of nonlinearly evolving supersonic instability modes in shear layers

Journal of Fluid Mechanics

Volumn 523, Issue , 2005, Pages 121-159

  Wu, Xuesong ^a,b  

^a TIANJIN UNIVERSITY   (China)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; COMPUTER SIMULATION; JETS; MIXING; REYNOLDS NUMBER; SUPERSONIC FLOW;

ASYMPTOTIC EXPANSION; MACH NUMBERS; MACH WAVE RADIATIONS; NONLINEAR EVOLUTION;

SHEAR FLOW;

SHEAR FLOW; SHEAR LAYER;

EID: 13844262953     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004002034     Document Type: Article

References (41)

1. Avital, E. J., Sandham, N. D. & Luo, K. H. 1998 Mach wave radiation by mixing layers. Part I: Analysis of the sound. Part II: Analysis of the source field. Theor. Comput. Fluid Dyn. 12, 73-108.
2. Bishop, K. A., Ffowcs Williams, J. E. & Smith, W. 1971 On the noise sources of the unsuppressed high-speed jet. J. Fluid Mech. 50 21-31.
3. Cowley, S. J. & Wu, X. 1994 Asymptotic approaches to transition modelling. In Progress in Transition Modelling, AGARD Rep. 793.
4. Crighton, D. G. & Huerre, P. 1990 Shear-layer pressure fluctuations and superdirective acoustic sources. J. Fluid Mech. 220, 355-368.
5. Crow, S. C. 1970 Aerodynamic sound emission as a singular perturbation problem. Stud. Appl. Maths 49, 21-44.
6. Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547-591.
7. Ffowcs Williams, J. E. & Maidanik, G. 1965 The Mach wave field radiated by supersonic turbulent shear flows. J. Fluid Mech. 21, 641-657.
8. Freund, J. B., Lele, S. K. & Moin, P. 2000 Numerical simulation of a Mach 1.92 turbulent jet and its sound field. AIAA J. 38, 2023-2031.
9. Goldstein, M. E. 1994 Nonlinear interactions between oblique instability waves on nearly parallel shear flows. Phys. Fluids A 6, 724-735.
10. Goldstein, M. E. 1995 The role of nonlinear critical layers in boundary-layer transition. Phil. Trans. R. Soc. Lond. A 352, 425-442.
11. Goldstein, M. E. & Choi, S.-W. 1989 Nonlinear evolution of interacting oblique waves on two-dimensional shear layers. J. Fluid Mech. 207, 97-120, and Corrigendum, J. Fluid Mech. 216, 1990, 659-663.
12. Goldstein, M. E. & Leib, S. J. 1989 Nonlinear evolution of oblique waves on compressible shear layers. J. Fluid Mech. 207, 73-96.
13. Howe, M. S. 1975 Contributions to the theory of aerodynamics sound, with application to excess jet noise and the theory of the flute. J Fluid Mech. 71, 625-673.
14. Jackson, T. L. & Grosch, C. E. 1989 Inviscid spatial stability of a compressible mixing layer. J. Fluid Mech. 208, 609-637.
15. Kambe, T. 1986 Acoustic emission by vortex motions. J. Fluid Mech. 173, 643-666.
16. Khavaran, A., Bridges, J. & Freund, J. B. 2002 A parametric study of fine-scale turbulence mixing noise. AIAA Paper 2002-2419.
17. Kinzie, K. W. & McLaughlin, D. K. 1995 Aeroacoustic properties of supersonic elliptic jets. J. Fluid Mech. 395, 1-28.
18. Leib, S. J. 1991 Nonlinear evolution of subsonic and supersonic disturbances on a compressible free shear layer. J. Fluid Mech. 224, 551-578.
19. Leib, S. J. & Lee, S. S. 1995 Nonlinear evolution of a pair of oblique instability waves in a supersonic boundary layer. J. Fluid Mech. 282, 339-371.
20. Lighthill, M. J. 1952 On sound generated aerodynamically. Proc. R. Soc. Lond. A 211, 564-587.
21. Lighthill, M. J. 1954 On sound generated aerodynamically. II. Turbulence as a source of sound. Proc. R. Soc. Lond. A 222, 1-32.
22. Lilley, G. M. 1974 On the noise from jets, noise mechanisms. AGARD-CP-131, pp. 13.1-13.12.
23. Lowson, M. V. & Ollerhead, J. B. 1968 Visualization of noise from cold supersonic jets. J. Acoust. Soc. Am. 44, 624-630.
24. Luo, K. H. & Sandham, N. D. 1997 Instability of vortical and acoustic modes in supersonic jets. Phys. Fluids 9, 1003-1013.
25. McLaughlin, D. K., Morrison, G. L. & Troutt, T. R. 1975 Experiments on the instability waves in a supersonic jet and their acoustic radiation. J. Fluid Mech. 69, 73-95.
26. Mitchell, B. E., Lele, S. J. & Moin, P. 1997 Direct computation of Mach wave radiation in an axisymmetric supersonic jet. AIAA J. 35 1574-1580.
27. Mohseni, K., Colonius, T. & Freund, J. B. 2002 An evaluation of linear instability waves as sources of sound in a supersonic turbulent jet. Phys. Fluids 14, 3593-3600.
28. Oertel, H. 1979 Mach wave radiation of hot supersonic jets. In Mechanics of Sound Generation in Flows (ed. E. A. Muller), pp. 275-281. Springer.
29. Panda, J. & Seasholtz, R. G. 2002 Experimental investigation of density fluctuations in high-speed jets and correlation with generated noise. J. Fluid Mech. 450, 97-130.
30. Phillips, O. M. 1960 On the generation of sound by supersonic turbulent shear layers. J. Fluid Mech. 9, 1-27.
31. Stewartson, K. & Stuart, J. T. 1971 A nonlinear instability theory for a wave system in plane Poiseuille flow. J. Fluid Mech. 48, 529-545.
32. Tam, C. K. W. 1971 Directional acoustic radiation from a supersonic jet generated by shear layer instability. J. Fluid Mech. 46, 757-768.
33. Tam, C. K. W. 1972 On the noise of a nearly ideally expanded supersonic jet. J. Fluid Mech. 51, 69-95.
34. Tam, C. K. W. 1995 Supersonic jet noise. Annu. Rev. Fluid Mech. 27, 17-43.
35. Tam, C. K. W. & Burton, D. E. 1984a Sound generated by instability waves of supersonic flow. Part 1. Two dimensional mixing layers. J. Fluid Mech. 138, 249-271.
36. Tam, C. K. W. & Burton, D. E. 1984 b Sound generated by instability waves of supersonic flow. Part 2. Axisymmetric jets. J. Fluid Mech. 138, 273-295.
37. Tam, C. K. W. Chen, P. & Seiner, J. M. 1992 Relationship between instability waves and noise of high-speed jets. AIAA. J. 30, 1747-1752.
38. Tam, C. K. W. & Hu, F. 1989 On the three families of instability waves of high-speed jets. J. Fluid Mech. 201, 447-483.
39. Tam, C. K. W. & Morris, P. J. 1980 The radiation of sound by the instability waves of a compressible plane turbulent shear layer. J. Fluid Mech. 98, 349-381.
40. Troutt, T. R. & McLaughlin, D. K. 1982 Experiments on the flow and acoustic properties of a moderate-Reynolds-number supersonic jet. J. Fluid Mech. 116, 123-156.
41. Wu, X., Lee, S. S. & Cowley, S. J. 1993 On the weakly nonlinear three-dimensional instability of shear flows to pairs of oblique waves: the Stokes layer as a paradigm. J. Fluid Mech. 253, 681-721.