Mean flow effects on the linear stability of compressible planar jets

Physics of Fluids

Volumn 10, Issue 3, 1998, Pages 615-626

  Kennedy, Christopher A ^a   Chen, Jacqueline H ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; HEAT CONVECTION; HEAT LOSSES; LAMINAR FLOW; NAVIER STOKES EQUATIONS; PRANDTL NUMBER; REYNOLDS NUMBER; SPECIFIC HEAT OF LIQUIDS; VISCOUS FLOW;

COMPRESSIBLE PLANAR JETS; INSTABILITY ANALYSIS; MEAN FLOW EFFECTS; MEAN VORTICITY TRANSPORT EQUATION; VISCOUS DISSIPATION;

JETS;

EID: 0032026425     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869599     Document Type: Article

References (69)

1. L. Reed and P. Balakumar. "Compressible boundary layer stability theory," Phys. Fluids A 2, 1341 (1990).
2. A. Michalke. "Survey on jet instability theory," Prog. Aerosp. Sci. 21, 159 (1984).
3. H. J. Obremski, M. V. Morkovin, and M. Landahl, "A Portfolio of stability characteristics of incompressible boundary layers," AGARDograph 134, AGARD, Neuilly-sur-Seine, France, 1969.
4. M. Gaster, E. Kit, and I. Wygnanski, "Large-scale structures in a forced turbulent mixing layer," J. Fluid Mech. 150, 23 (1985).
5. G. L. Morrison and D. K. McLaughlin, "Instability process in low-Reynolds number supersonic jets," AIAA J. 18, 793 (1980).
6. P. J. Morris, "Viscous stability of compressible axisymmetric jets," AIAA J. 21, 481 (1983).
7. L. M. Mack, "On the inviscid acoustic-mode instability of supersonic shear flows," Theor. Comp. Fluid Dynam. 2, 97 (1990).
8. A. Michalke, "A note on the spatial jet-instability of the compressible cylindrical vortex sheet," Duetsche Luft- und Raumfahrt Forschungsbericht 70-51 (Duetsche Forschungs- und Versuchsanstalt für Luft- und Raumfahrt), 1970.
9. A. Michalke, "Instability of a compressible circular free jet with consideration of the influence of the jet boundary layer thickness," Z. Flug. 19, 319 (1971) (in German, Translation: NASA Technical Memorandum 75190).
10. C. Tam, P. Chen, and J. M. Seiner, "Relationship between instability waves and noise of high speed jets," AIAA J. 30, 1747 (1992).
11. L. M. Mack, "Boundary layer linear stability theory," in "Special Course on Stability and Transition of Laminar Flow," AGARD Report No. 709, 3.1-3.81, AGARD, Neuilly-sur-Seine, France, 1984.
12. T. Tatsumi and T. Kakutani, "Stability of a two-dimensional laminar jet," J. Fluid Mech. 4, 261 (1958).
13. P. G. Drazin and L. N. Howard, "The instability to long waves of unbounded parallel inviscid flow," J. Fluid Mech. 14, 257 (1962).
14. G. E. Mattingly and W. O. Criminale, "Disturbance characteristics in a plane jet," Phys. Fluids 14, 2258 (1971).
15. V. N. Kalugin and G. A. Chechko, "Viscous instability of an incompressible plane jet," J. Eng. Phys. 26, 212 (1974).
16. O. A. Likhachev and M. Kh. Pravdina, "Similarity autooscillations in a plane jet," Fluid Dyn. (USSR) 14, 345 (1979).
17. P. J. Morris, "Stability of a two-dimensional jet," AIAA J. 19, 857 (1981).
18. N. M. Terekhova, "Plane jet interaction with three-dimensional disturbances," J. Appl. Mech. Tech. Phys. 23, 796 (1982).
19. H. Schlichting, "Laminate Strahlausbreitung [Laminar jet growth]," Z. Angew. Math. Mech. 13, 260 (1933) (in German).
20. W. Bickley, "The plane jet," Philos. Mag. 23, 727 (1939).
21. O. A. Likhachev and A. M. Tumin, "Stability of a compressible laminar wall-jet with heat transfer," ASME J. Fluids Eng. 118, 824 (1996)
22. L. Howarth, "Concerning the effect of compressibility on laminar boundary layers and their separation," Proc. R. Soc. London, Ser. A 194, 16 (1948).
23. C. R. Illingworth, "Steady flow in the laminar boundary layer of a gas," Proc. R. Soc. London, Ser. A 199, 533 (1949).
24. M. Z. v. Kryzwohlocki, "On steady laminar two-dimensional jets in compressible viscous gases far behind the slit," Q. J Appl Math. 7, 313 (1949); 9, 310(E) (1951)
25. M. Z. v. Kryzwohlocki, "On steady laminar two-dimensional jets in compressible viscous gases far behind the slit," Q. J Appl Math. 7, 313 (1949); 9, 310(E) (1951)
26. S. I. Pai, "Two-dimensional jet mixing of a compressible fluid," J. Aerosp. Sci. 16, 463(1949).
27. S. I. Pai, "The laminar jet mixing of two compressible fluids," in Proceedings of the Second Midwestern Confernce on Fluid Mechanics (Ohio State University, Ohio, 1952), pp. 297-308.
28. S. I. Pai, "Laminar jet mixing of two compressible fluids with heat release," J. Aerosp. Sci. 23, 1012 (1956).
29. D. G. Toose, "The laminar motion of a plane symmetrical jet of a compressible fluid," Q. J. Mech. Appl. Math. 5, 155 (1952).
30. Iu. T. Reznichenko, "The propagation of a plane laminar jet of compressible gas in an infinite space submerged in the same gas," Trudy Leningradskii Polytechnich. Inst. 5, 32 (1953) (in Russian).
31. L. J. Crane and D. C. Pack, "The laminar and turbulent mixing of jets of a compressible fluid. Part I. Flow far from the orifice," J. Fluid Mech. 2, 449 (1957).
32. Sh. A. Ershin, "Problem of a plane laminar jet in a viscous compressible gas." Inzh. Zh. 4, 461 (1964) (in Russian).
33. P. V. Marinescu, "A unitary method for determining the characteristics of the compressible two-dimensional jet," in Proceedings of the Fourth Cranfield Fluidics Conference, edited by T. E. Brock and H. S. Stephens (British Hydromechanics Research Association, Cranfield, 1970).
34. J. L. Bansal and S. S. Tak, "Laminar plane jet in a gas medium," Z. Angew. Math. Phys. 29, 742 (1978).
35. V. I. Korobko and V. N. Korovkin, "Development of a plane laminar gas jet in infinite space." Vestsi Akad. Nav. Belaruskai SSR, Ser. Fiz. Energetychnykh Navuk 16, 103 (1978) (in Belorussian).
36. V. I. Korobko and V. N. Korovkin, "Heat exchange in semi-bounded planar laminar gas jets," Vestsi Akad. Nav. Belaruskai SSR, Ser. Fiz. Energetychnykh Navuk 16, 111 (1980) (in Belorussian).
37. A. A. Bobnev, "Class of self-similar solutions for high-temperature plane and fan jets," High Temp. 24, 212 (1986).
38. L. A. Vulis and V. P. Kashkarov, Teoriia Strut Viazkcoi Zhidkosti (Theory of Viscous Fluid Jets) (Izdatel'stvo Nauka Glav. Redak. Fiz.-Matem. Lit., Moscow, 1965) (in Russian, translation, DTIC AD-673687).
39. S. I. Pai, Fluid Dynamics of Jets (Van Nostrand, New York, 1954).
40. K. Stewartson, The Theory of Laminar Boundary Layers in Compressible Fluids (Clarendon, Oxford, 1964).
41. L. G. Loitsianskii, Laminarnyi Pogranichnyi Sloi [Laminar Boundary Layers] (Izdatel'stvo Fiz.-Matem. Lit., Moscow, 1962) (in Russian, Translation to English, DTIC AD-601756). Also available as Laminare Grenzschichten (Akademie, Berlin, 1967) (in German).
42. L. G. Loitsianskii, Laminarnyi Pogranichnyi Sloi [Laminar Boundary Layers] (Izdatel'stvo Fiz.-Matem. Lit., Moscow, 1962) (in Russian, Translation to English, DTIC AD-601756). Also available as Laminare Grenzschichten (Akademie, Berlin, 1967) (in German).
43. M. M. Abu-Romia, "Radiation effect on the enthalpy and velocity distributions of a laminar, compressible, planar free jet," Int. J. Heat Mass Transf. 12, 1191 (1969).
44. K. Chen, "On two-dimensional laminar wakes and jets," J. Fluid Mech. 39, 163 (1969).
45. M. H. Steiger and M. H. Bloom, "Linearized viscous free mixing with streamwise pressure gradients," AIAA J. 2, 263 (1964).
46. M. H. Steiger and M. H. Bloom, "Further similarity solutions of two-dimensional wakes and jets," AIAA J. 3, 528 (1965).
47. M. Z. v. Kryzwoblocki, "Jets - Review of literature," Jet Propul. 26, 760 (1956).
48. J. N. Le Toulouzan, G. Gouesbet, R. Darrigo, and A. Berlemont, "Experimental and theoretical study of a low-pressure axisymmetric arcjet," AIAA J. 25, 30 (1987).
49. O. G. Martynenko, V. N. Korovkin, and Iu. A. Sokovishin, "Exact non-similarity solutions for laminar jet flows," Int. Comm. Heat Mass Trans. 13, 285 (1988).
50. S. G. Rubin and R. Falco, "Plane laminar jet," AIAA J. 6, 186 (1968).
51. V. I. Korobko, Teoriia Neavtomodel'nykh Strut Vyazkoi Zhidkosti (Theory of Non-Similar Jets of a Viscous Fluid) (Izdatel'stvo Saratov. Gosud. Univ., Saratov, 1977) (in Belorussian).
52. V. I. Korobko and S. V. Fal'kovich, "Non-self-similar problems in jet flow theory," Fluid Dyn. (USSR) 5, 242 (1970).
53. D. Middleton, "The generalization of a double integral method with applications to jets in unbounded coflows," Aero. Q. 30, 322 (1979).
54. D. Middleton, "On the decay of laminar jets in ambient streams," Aero. Q. 32, 83 (1981).
55. H. Groppengiesser, "Beitrag zur Stabilitat freier Grenzschcihten in kompressiblen Medien (Study on the stability of boundary layers and compressible fluids)," Deutsche Luft- und Ramfahrt Report No. DLR FB-69-25, 1969 [in German, Translation, NASA TT F-12,786 (1970)].
56. N. D. Sandnam and W. C. Reynolds, "A numerical investigation of the compressible mixing layer," doctoral dissertation, Thermosciences Division, Stanford University, Report No. TF-45, 1989.
57. D. W. Bogdanoff, "Compressibility effects in turbulent shear layers," AIAA J. 21, 926 (1983).
58. N. L. Messersmith, S. G. Goehel, W. H. Frantz, E. A. Krammer, J. P. Renie, J. C. Dutton, and H. Krier, "Experimental and analytical investigalions of supersonic mixing layers," AIAA Paper No. 88-0702, 1988.
59. N. D. Sandham and W. C. Reynolds, "The compressible mixing layer: Linear theory and direct simulation," AIAA J 28, 618 (1990).
60. M. V. Morkovin, "Panoramic view of changes in vorticity distribution in transition instabilities and turbulence," in Boundary Layer Stability and Transition to Turbulence, FED-114, edited by D. C. Reda, H. L. Reed, and R. Kobayashi (American Society of Mechanical Engineers, New York, 1990.
61. T. Cebeci and P. Bradshaw, Momentum Transfer in Boundary Layers (Hemisphere, Washington, D.C., 1977).
62. J. R. Dormand and P. J. Prince, "A reconsideration of some embedded Runge-Kutta formulae," J. Comput. Appl. Math. 15, 203 (1986).
63. A. Trouve, S. M. Candel, and J. W. Daily, "Linear stability of the jet inlet in a ramjet dump combustor," AIAA Paper No. 88-0149, 1988.
64. C. K. W. Tam, "Supersonic jet noise," in Annual Review of Fluid Mechanics, edited by J. L. Lumley, M. Van Dyke, and H. L. Reed (Annual Reviews Inc., Palo Alto, CA, 1995), Vol. 27, pp. 17-43.
65. J. H. Chen, B. J. Cantwell, and N. N. Mansour, "Direct numerical simulation of a plane compressible wake: Stability, vorticity dynamics, and topology," doctoral dissertation, Thermosciences Division, Stanford University, Report No. TF-46, 1989
66. J. H. Chen, B. J. Cantwell, and N. N. Mansour, "The effect of Mach number on the stability of a plane supersonic wake," Phys. Fluids A 2, 984 (1990).
67. Y. Y. Chan, "Discrete acoustic radiation from a high-speed jet as a singular perturbation problem," Can. Aerosp. Space J. 21, 221 (1975).
68. H. Schlichting, Boundary Layer Theory, 7th ed. (McGraw-Hill, New York, 1979).
69. S. Wolfram, Mathematica, A System for Doing Mathematics by Computer, 2nd ed. (Addison-Wesley, Redwood City, 1991).