Nonparallel and nonlinear stability of supersonic jet flow

Computers and Fluids

Volumn 29, Issue 3, 2000, Pages 327-365

  Malik, M R ^a   Chang, C L ^a  

^a High Technology Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HARMONIC ANALYSIS; JETS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; REYNOLDS NUMBER; SYSTEM STABILITY; VORTEX FLOW;

HELICAL MODES; PARABOLIZED STABILITY EQUATIONS;

SUPERSONIC FLOW;

JET FLOW; STABILITY; SUPERSONIC FLOW;

EID: 0034070634     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(99)00013-4     Document Type: Article

References (40)

1. Chang C.-L., Malik M.R. Oblique-mode breakdown and secondary instability in supersonic boundary layers. J. Fluid Mech. 273:1994;323-359.
2. Morrison G.L., McLaughlin D.K. Instability process in low Reynolds number supersonic jets. AIAA J. 18:(7):1980;793-800.
3. Tam CKW. Jet noise generated by large-scale coherent motion. In: Aeroacoustics of flight vehicles: theory and practice, vol. 1: Noise sources. NASA RP-1258, WRDC TR-90-3052, 1991.
4. Crow S.C., Champagne F.H. Orderly structure in jet turbulence. J. Fluid Mech. 48:(3):1971;547-591.
5. Brown G.L., Roshko A. On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64:(4):1974;775-816.
6. Lepicovsky J, Ahuja KK, Brown WH, Burrin RH. Coherent large-scale structures in high Reynolds number supersonic jets. NASA CR-3952, 1985.
7. Tam C.K.W. Directional acoustic radiation from a supersonic jet generated by shear layer instability. J. Fluid Mech. 46:1971;757-768.
8. Tam C.K.W. On the noise of a nearly ideally expanded supersonic jet. J. Fluid Mech. 51:1972;69-95.
9. McLaughlin D.K., Morrison G.L., Troutt T.R. Experiments on the instability waves in a supersonic jet and their acoustic radiation. J. Fluid Mech. 69:1975;73-95.
10. Morris PJ, Tam CKW. Near and far field noise for large-scale instabilities of axisymmetric jets. AIAA 77-1351, 1977.
11. Morrison G.L., McLaughlin D.K. The noise generated by instabilities in low Reynolds number supersonic jets. J. Sound and Vibration. 65:(2):1979;177-191.
12. Troutt T.R., McLaughlin D.K. Experiments on the flow and acoustic properties of a moderate-Reynolds-number supersonic jet. J. Fluid Meeh. 116:1982;123-156.
13. Tam C.K.W., Burton D.E. Sound generated by instability waves of supersonic flows. Part 1. Two-dimensional mixing layers. J. Fluid Mech. 138:1984;249-271.
14. Tam CKW, Chen P, Seiner JM. Relationship between instability waves and noise of high-speed jets. AIAA 91-0492, 1991.
15. Seiner JM, Bhat TRS, Ponton MK. Mach wave emission from a high temperature supersonic jet. AIAA 93-0734, 1993.
16. Plaschko P. Helical instabilities of slowly divergent jets. J. Fluid Mech. 92:(2):1979;209-215.
17. Tam C.K.W., Morris P.J. The radiation of sound by the instability waves of a compressible plane turbulent shear layer. J. Fluid Mech. 98:1980;349-381.
18. Tam C.K.W., Burton D.E. Sound generated by instability waves of supersonic flows. Part 2. Axisymmetric jets. J. Fluid Mech. 138:1984;273-295.
19. Tam C.K.W., Chen P. Turbulent mixing noise from supersonic jets. AIAA J. 32:(9):1994;1774-1780.
20. Zaman KBMQ. Streamwise vorticity generation and mixing enhancement in free jets by 'delta-tabs'. AIAA Paper 93-3253, 1993.
21. King CJ, Krothapalli A, Strykowski PJ. Streamwise vorticity generation in supersonic jets with minimal thrust loss. AIAA 94-0661, 1994.
22. Grosch C.E., Seiner J.M., Hussaini M.Y., Jackson T.L. Numerical simulation of mixing enhancement in hot supersonic jet. Phys. Fluids. 9:(4):1997;1125-1143.
23. Viswanathan K., Sankar L.N. Toward the direct calculation of noise: fluid/acoustic coupled approach. AIAA J. 33:(12):1995;2271-2279.
24. Bangalore A, Morris PJ, Long LN. A parallel three-dimensional computational aeroacoustics methods using non-linear disturbance equations. AlAA 96-1728, 1996.
25. Spall R.E., Malik M.R. Goertler vortices in supersonic and hypersonic boundary layers. Phys. Fluids A. 1:(11):1989;1822-1835.
26. Herbert Th. Boundary-layer transition - analysis and prediction revisited. AIAA 91-0737, 1991.
27. Bertolotti F.P., Herbert Th., Spalart P.R. Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech. 242:1992;441-474.
28. Chang C-L, Malik MR, Erlebacher G, Hussaini MY. Compressible stability of growing boundary layers using parabolized stability equations. AIAA 91-1636, 1991.
29. Crighton D.B., Gaster G. Stability of slowly diverging jet flow. J. Fluid Mech. 77:1975;397-413.
30. Li F., Malik M.R. On the nature of PSE approximation. Theoretical and Computational Fluid Dynamics. 8:1996;253-273.
31. Li F., Malik M.R. Spectral analysis of parabolized stability equations. Computers and Fluids. 26:(1):1997;279-297.
32. Anderson D.A., Tannehill J.C., Pletcher R.H. Computational fluid mechanics and heat transfer. 1984;Hemisphere, New York.
33. Batchelor G.K., Gill A.E. Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14:1962;34.
34. Khorrami M.R., Malik M.R., Ash R.L. Application of spectral collocation techniques to the stability of swirling flows. J. Comput. Phys. 81:1989;206.
35. Thompson K.W. Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68:1987;1-24.
36. Tam C.K.W., Hu F.Q. On the three-families of instability waves of high speed jets. J. Fluid Mech. 201:1989;447.
37. Stromberg JL, McLaughlin DK, Troutt TR. Flowfield and acoustic properties of a Mach number 0.9 jet at a low Reynolds number. AIAA 79-0593, 1979.
38. McLaughlin D.K., Morrison G.L., Troutt T.R. Reynolds number dependence in supersonic jet noise. AIAA J. 15:1977;526-532.
39. Morris P.J. Stability of a two-dimensional jet. AIAA J. 19:(7):1981;857.
40. Goldstein M.E., Choi S.-W. Nonlinear evolution of interacting oblique waves in two dimensional shear layers. J. Fluid Mech. 207:1989;97-120.