Asymptotic defect boundary layer theory applied to thermochemical non-equilibrium hypersonic flows

Journal of Fluid Mechanics

Volumn 339, Issue , 1997, Pages 213-238

  Seror S ^a,b   Zeitoun, D E ^a   Brazier, J Ph ^b   Schall, E ^a  

^a CNRS   (France)

^b ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CATALYSTS; DIFFERENTIAL EQUATIONS; HEAT FLUX; HYPERSONIC FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; VIBRATIONS (MECHANICAL); VISCOUS FLOW; WIND TUNNELS;

ASYMPTOTIC DEFECT BOUNDARY LAYER THEORY; THERMOCHEMICAL NONEQUILIBRIUM HYPERSONIC FLOW;

BOUNDARY LAYER FLOW;

EID: 0031144624     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005247     Document Type: Article

References (30)

1. AUPOIX, B., BRAZIER, J.-PH. & COUSTEIX, J. 1992 Asymptotic defect boundary-layer theory applied to hypersonic flows. AIAA J. 30, 1252-1259.
2. BARRÈRE, M. & PRUDHOMME, R. 1973 Equations Fondamentales de l'Aérothermochimie. Masson et Cie.
3. BELLUCCI, V., UEDA, S., EITELBERG, G. & MUYLAERT, J. 1995 Experimental and numerical analysis of a blunt body configuration in T5 and HEG. In Proc. Second European Symp. on Aerothermodynamics for Space Vehicles (ed. J. J. Hunt). ESA SP-367 ESA Publications Division, ESTEC, Noordwijk, The Netherlands.
4. BLACKMAN, V. 1955 Vibrational relaxation in oxygen and nitrogen. Tech. Rep., Palmer Physics Laboratory, Princeton University.
5. BRAZIER, J.PH., AUPOIX, B. & COUSTEIX, J. 1990 Etude asymptotique de la couche limite en formulation déficitaire. CR Acad. Sci. Paris (II) 310, 1583-1588.
6. BREASHEARS, W. D. & BIRD, P. F. 1968 Effects of oxygen atoms on the vibrational relaxation of nitrogen. J. Chem. Phys. 48, 4773.
7. DÉSIDÉRI, J. A. & SALVETTI, M. V. 1993 Inviscid non-equilibrium flow in the vincinity of a stagnation point. CR Acad. Sci. Paris (I) 316, 525-530.
8. GARDINER, W. C. 1984 Combustion Chemistry. Springer-Verlag.
9. GLOTZ, G. & SCHÖNAUER, W. 1977 Einfluß des Chemiemodells und der Randbedingungen auf die Hyperschallgrenzschicht bei Luft. Universität Karlsruhe - Rechenzentrum interner Bericht No. 12.
10. HACHEMIN, J. V. & VÉRANT, J. L. 1995 3D parallel multiblocks thermo-chemical nonequilibrium simulation with a PNS solver. In Proc. Second European Symp. on Aerothermodynamics for Space Vehicles (ed. J. J. Hunt). ESA SP-367 ESA Publications Division, ESTEC, Noordwijk, The Netherlands.
11. (2,2)*. J. Chem. Phys. 52, 4313.
12. HIRSCHFELDER, J. O., CURTISS, C. F. & BIRD, R. B. 1954 Molecular Theory of Gases and Liquids. John Wiley and Sons.
13. JAMESON, A., SCHMIDT, W. & TURKEL, E. 1981 Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes. AIAA Paper 81-1259.
14. KIEFER, J. H. & LUTZ, R. W. 1967 The effect of oxygen atoms on the vibrational relaxation of oxygen. In Proc. 11th Symp. on Combustion, pp. 67-74, Pittsburg.
15. LANDAU, L. & TELLER, E. 1936 Theory of sound dispersion. Phys. Z. Sowjetunion 10, 34-43.
16. MACCORMACK, R. W. 1985 Current status of numerical solutions of the Navier-Stokes equations. AIAA Paper 85-0032.
17. MASON, E. A. & MONCHICK, L. 1962 Heat conductivity of polyatomic and polar gases. J. Chem. Phys. 36, 1622-1640.
18. PASCAL, S. & BRUN, R. 1993 Transport properties of nonequilibrium gas mixtures. Phys. Rev. E 47, 3251-3267.
19. PATANKAR, S. V. 1980 Numerical Heat Transfer and Fluid Flow. Series in Computational Methods in Mechanics and Thermal Sciences. McGraw Hill.
20. SCHALL, E., BURTSCHELL, Y. & ZEITOUN, D. E. 1995 Numerical study of non-equilibrium processes in high enthalpy flows. Intl J. Numer. Meth. Heat Fluid Flow 5, 271-281.
21. SCHWANE, R. & MUYLAERT, J. 1994 Description of test cases. Fourth European High Velocities Database Workshop. ESTEC document YPA/1495/RS Noordwijk.
22. SCOTT, C. D. 1984 The effects of thermochemistry, nonequilibrium, and surface catalysis in the design of hypersonic vehicles. In 1st Joint Europe-US Short Course on Hypersonics. GAMNI-SMAI.
23. THIVET, F., PERRIN, M. Y. & CANDEL, S. 1991 A unified nonequilibrium model for hypersonic flows. Phys. Fluids A 3, 2799-2812.
24. TIRSKY, G. A. 1993 Up to date gasdynamic models of hypersonic aerodynamics and heat transfer with real gas properties. Ann. Rev. Fluid Mech. 25, 151-181.
25. TREANOR, C. E. & MARRONE, P. V. 1962 Effects of dissociation on the rate of vibrational relaxation. Phys. Fluids 5, 1022-1026.
26. VAN DYKE, M. 1962 Second order compressible boundary layer theory with application to blunt bodies in hypersonic flow. In Hypersonic Flow Research (ed. F. R. Ridell), vol. 7, pp. 37-76. Academic Press.
27. VAN DYKE, M. 1975 Perturbation Methods in Fluid Mechanics. The Parabolic Press, Stanford, California.
28. WILKE, C. R. 1950 A viscosity equation for gas mixtures. J. Chem. Phys. 18, 517-519.
29. WÜTHRICH, S. & SAWLEY, M. L. 1992 Coupled Euler/boundary layer method for non-equilibrium, chemically reacting hypersonic flows. AIAA J. 30, 2836-2844.
30. ZEITOUN, D. E., SCHALL, E., BURTSCHELL, Y. & DRUGUET, M. C. 1995 Vibration-dissociation coupling in nonequilibrium hypersonic viscous flows. AIAA J. 33, 79-85.