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Theory of anomalous modes of regular reflection of shock waves

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Abstract

It is well known [1, 2] from numerical calculations of the reflection of a shock wave for a diatomic gass that in some cases regular reflection is accompanied by higher pressures than the pressure of normal reflection (“anomalous modes” of regular reflection). A theory explaining this phenomenon is presented in this paper. It is shown that if the adiabatic exponent is larger than some critical value, then for any shock wave intensity there exists a finite range of angles of incidence for which anomalous reflection modes occur. If the adiabatic exponent is smaller than this critical value, anomalous reflection occurs only for shock waves whose intensity is smaller than some characteristic value dependent on the adiabatic exponent. Explicit formulas are obtained which relate the angle and pressure of reflection of a shock wave to the initial parameters of the problem.

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Literature cited

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  8. G. M. Arutyunyan, “Calculation of pressure at the critical point for a shock wave incident on a supersonic body,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 6 (1972).

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Authors and Affiliations

  1. Moscow

    G. M. Arutyunyan

Authors
  1. G. M. Arutyunyan
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 117–125, September–October, 1973.

The author thanks V. A. Belokon' for stimulating discussions.

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Arutyunyan, G.M. Theory of anomalous modes of regular reflection of shock waves. Fluid Dyn 8, 778–785 (1973). https://doi.org/10.1007/BF01023579

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  • DOI: https://doi.org/10.1007/BF01023579

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