Experimental investigation of Richtmyer-Meshkov instability in shock tube

Physics of Fluids

Volumn 8, Issue 2, 1996, Pages 614-627

  Houas, L ^a   Chemouni, I ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EXPERIMENTAL STUDIES; INSTABILITY; MIXING ZONE; RICHTMYER-MESHKOV; TURBULENCE;

EID: 0029676706     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868845     Document Type: Article

References (32)

1. R. D. Richtmyer, "Taylor instability in shock acceleration of compressible fluids," Commun. Pure Appl. Math. 13, 297 (1960).
2. Y. Y. Meshkov, "Instability of the interface of two gases accelerated by a shock wave," Fluid Dyn. 4, 101 (1969) [Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 5, 151 (1969)].
3. Y. Y. Meshkov, "Instability of the interface of two gases accelerated by a shock wave," Fluid Dyn. 4, 101 (1969) [Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 5, 151 (1969)].
4. Lord Rayleigh, Scientific Papers (Dover, New York, 1965), Vol. 2.
5. G. I. Taylor, "The instability of liquid surfaces when accelerated in a direction perpendicular to their planes, I," Proc. R. Soc. London Ser. A 201, 192 (1950).
6. R. J. Stalker and K. C. A. Crane, "Driver gas contamination in a high-enthalpy reflected shock tunnel," AIAA J. 16, 277 (1978).
7. M. Brouillette and B. Sturtevant, "Growth induced by multiple shock waves normally incident on plane gaseous interfaces," Physica D 37, 248 (1989).
8. M. Brouillette and B. Sturtevant, "Experiments on the Richtmyer-Meshkov instability: Small-scale perturbations on a plane interface," Phys. Fluids 5, 916 (1993).
9. V. A. Andronov, S. M. Bakhrakh, E. E. Meshkov, V. N. Mokhov, V. V. Nikiforov, A. V. Pevnitskii, and A. I. Tolshmyakov, "Turbulent mixing at contact surface accelerated by shock wave," Sov. Phys. JETP 44, 424 (1976).
10. G. I. Barenblatt, "Self-similar turbulence propagation from an instantaneous point source," in Non-linear Dynamics and Turbulence, edited by G. I. Barenblatt, G. Ioos, and D. D. Joseph (Pitman, Boston, 1983), p. 48.
11. K. I. Read, "Experimental investigation of turbulent mixing in Rayleigh-Taylor instability," Physica D 12, 45 (1984).
12. D. L. Youngs "Numerical simulation of turbulent mixing by Rayleigh-Taylor instability," Physica D 12, 32 (1984).
13. C. E. Leith, "Acceleration-induced turbulent mixing: Model one," Lawrence Livermore National Laboratory, unpublished report, 1985.
14. S. G. Zaitsev, E. V. Lazareva, V. V. Chernukha, and V. M. Belyaev, "An experimental investigation and numerical modeling of turbulent mixing in one-dimensional flows," Sov. Phys. Dokl. 30, 579 (1985).
15. J. F. Haas and B. Sturtevant, "Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities," J. Fluid Mech. 181, 41 (1987).
16. K. O. Mikaelian, "Rayleigh-Taylor and Richtmyer-Meshkov instabilities and mixing in stratified spherical shells," Phys. Rev. A 42, 3400 (1990).
17. V. E. Neuvazhayev, "Turbulent mixing induced by Richtmyer-Meshkov instability," in Proceedings of the 18th International Symposium on Shock Waves, Sendai, Japan, 1991, edited by K. Takayama (Springer-Verlag, Berlin, 1992), p. 359.
18. D. Besnard, J. F. Haas, and R. M. Rauenzhan, "Statistical modeling of shock-interface interaction," Physica D 37, 227 (1989).
19. S. Gauthier and M. Bonnet, "A k- ∈ model for turbulent mixing in shocktube flows induced by Rayleigh-Taylor instability," Phys. Fluids A 2, 1685 (1990).
20. K. O. Mikaelian, "Turbulent energy at accelerating and shocked interfaces," Phys. Fluids A 2, 592 (1990).
21. D. L. Youngs, "Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability," Phys. Fluids A 3, 1312 (1991).
22. P. G. Saffman and D. I. Meiron, "Kinetic energy generated by the incompressible Richtmyer-Meshkov instabilities in a continuously stratified fluid," Phys. Fluids A 1, 1767 (1989).
23. C. E. Leith, "Development of a two-equation turbulent mix model," Lawrence Livermore National Laboratory Report No. UCRL-96036, 1986.
24. P. Spitz and J. F. Haas, "Numerical calibration of Rayleigh-Taylor induced turbulent flows with a k- ∈ mix model," in the Proceedings of the 3rd International Workshop on the Physics of Compressible Turbulent Mixing, Abey of Royaumont, France, 1992, edited by N. Wilke (CEA DAM Press, Paris, 1990), p. 511.
25. L. Houas, A. Farhat, and R. Brun, "Shock induced Rayleigh-Taylor instability in the presence of a boundary layer," Phys. Fluids 31, 807 (1988).
26. C. R. Wilke, "A viscosity equation for gas mixtures," J. Chem. Phys. 18, 517 (1950).
27. L. Houas, R. Brun, and M. Hanana, "Experimental investigation of shock-interface interaction," AIAA J. 24, 1254 (1986).
28. G. Rodriguez, I. Galametz, H. Croso, and J. F. Haas, "Richtmyer-Meshkov instability in a vertical shock-tube," in the Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing (Cambridge, England, 1993), edited by P. F. Linden, D. L. Youngs, and S. B. Dalziel (Cambridge University Press, Cambridge, 1994), p. 260.
29. G. H. Markstein, "Flow disturbances induced near a slightly wavy contact surface, or flame front, traversed by a shock wave," J. Aerosp. Sci. 24, 238 (1957).
30. M. Brouillette, "On the interaction of shock waves with contact surfaces between gases of different densities," Ph.D. thesis, California Institute of Technology, 1989.
31. L. Houas, I. Chemouni, A. Touat, and R. Brun, "Experimental investigation of Richtmyer-Meshkov induced turbulent mixing over long distances," in Ref. 23, p. 127.
32. H. Mirels, "Turbulent boundary layer behind constant velocity shock including wall blowing effects," AIAA J. 22, 1042 (1984).