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Reflection of a strong shock wave from an ellipsoid

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Abstract

The reflection from an ellipsoid of a strong shock wave (with uniform parameters behind the wave) moving along one axis of the ellipse is considered. Viscosity and thermal conductivity of the gas are not considered. A solution is sought in the vicinity of the critical point using the small parameter method [1]. The nonlinear differential equations for the dimensionless components of the gas velocity in this region are solved by the method of separation of variables with the additional condition of [2]. Analytical expressions are found for the flow parameters, which for the cases of an elliptical cylinder and ellipsoid of revolution coincide with the corresponding expressions obtained previously in [2].

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Literature cited

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  6. L. P. Gorbachev and V. B. Sokolov, “Reflection of a strong magnetohydrodynamic shock wave from an elliptical cylinder,” Magnitn. Gidrodinam., No. 4 (1977).

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Authors and Affiliations

  1. Moscow

    L. P. Gorbachev & V. B. Sokolov

Authors
  1. L. P. Gorbachev
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  2. V. B. Sokolov
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 19–23, November–December, 1980.

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Gorbachev, L.P., Sokolov, V.B. Reflection of a strong shock wave from an ellipsoid. J Appl Mech Tech Phys 21, 755–758 (1980). https://doi.org/10.1007/BF00912131

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  • DOI: https://doi.org/10.1007/BF00912131

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