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Shock wave formation as a result of interaction with a weak discontinuity on the boundary of a local subsonic zone

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Abstract

A self-similar solution, which explains the formation of a strong-family shock wave (Mach number behind the wave less than unity) on the sonic line, is obtained for the Tricomi equation of plane potential flow in hodograph variables. A characteristic with a discontinuity of the derivatives of the gas dynamic parameters arrives at the formation (interaction) point, while the characteristic of the other family leaving this point does not contain a singularity. The intensity of the shock wave varies along its generator in accordance with a power law with an exponent close to unity. At the interaction point the discontinuity of the derivatives along the streamline is equal to infinity.

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Authors and Affiliations

  1. Moscow

    S. A. Shcherbakov

Authors
  1. S. A. Shcherbakov
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 152–158, July–August, 1990.

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Shcherbakov, S.A. Shock wave formation as a result of interaction with a weak discontinuity on the boundary of a local subsonic zone. Fluid Dyn 25, 623–629 (1990). https://doi.org/10.1007/BF01049873

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  • DOI: https://doi.org/10.1007/BF01049873

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