Abstract
A successive approximation method is used to solve the self-similar problem of gas flow accompanying a shock wave propagated through a polytropic gas of variable density. The method is based on a special choice of independent variables and the use of Whitham's approximation [1] as the initial approximation for the motion of the discontinuity. A first approximation for the self-simulation index is calculated which is in good agreement with exact values.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 68–72, September–October 1970.
The author wishes to thank S. V. Fal'kovich for suggesting this problem and for his help in the work.
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Mozzhilkin, V.V. Motion of a shock wave through a gas of variable density. Fluid Dyn 5, 770–774 (1970). https://doi.org/10.1007/BF01017294
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DOI: https://doi.org/10.1007/BF01017294