Abstract
Whitham [1] has proposed a method of approximate calculation of the motion of shock fronts giving results in fairly good agreement with the experiments when one considers various nonstationary problems of the interaction of shock waves with one another and solid surfaces. However, the method gives rise to fundmental difficulties when one considers the propagation of shock waves in a moving medium [1, 2]. In the present paper, the method is generalized to the case of a gas which is moving nonuniformly in front of the shock wave, no restrictions being made on the nature of the motion or the variation of its parameters.
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Literature cited
G. B. Whitham, Linear and Nonlinear Waves, Wiley-Interscience, New York (1974).
G. Whitham, “A note on shock dynamics relative to a moving frame,” J. Fluid Mech.,31, No. 3 (1968).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 175–178, January–February, 1981.
I thank M. D. Gerasimov for interest and assistance in the work.
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Kireev, V.T. Motion of shock waves in an inhomogeneous gas. Fluid Dyn 16, 142–145 (1981). https://doi.org/10.1007/BF01094830
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DOI: https://doi.org/10.1007/BF01094830