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Instability theory of shock wave in a channel. (English) Zbl 0809.76040

The stability of shock waves in a three-dimensional channel with rectangular cross-section is studied using a normal mode analysis. Three kinds of boundary conditions are considered, and instability criteria are derived.

MSC:

76E99 Hydrodynamic stability
76L05 Shock waves and blast waves in fluid mechanics
Full Text: DOI

References:

[1] Xu Fu, Shock wave instability,Proc. Int. Conf. Fluid Mech., Beijing (1987), 243–247.
[2] Dyakov, S. P., On the stability of shock waves.Zh. Exsp. Teor. Fiz.,27, 3 (1954), 288–295. (in Russian)
[3] Swab, G. M. and G. R. Fowles, Shock wave stability.Phys. Fluids,18 (1975), 28–35. · Zbl 0321.76022 · doi:10.1063/1.860989
[4] Landau, L. D. and E. M. Lifschitz,Fluid Mechanics, Addison-Wesley Reading M. A. (1959).
[5] Xu Fu, Interaction of a gasdynmaic shock with small disturbances,Acta Mechanica Sinica (English Edition), 3 (1987), 113–122.
[6] Fowles, G. R. and A. F. P. Houwing, Instabilities of shock and detonation waves,Phys. Fluids,27 (1984), 1982–1990. · Zbl 0546.76088 · doi:10.1063/1.864853
[7] Book, D. L., Role of the boundary conditions in the problem of the linear stability of the Sedov point blast solution,Proc. 5th Int. Symp. Shock Waves and Shock Tubes, D. Bershader et al Eds. (1986), 431–437.
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