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Self-similar gas motions in a gravity field

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Abstract

The decelerating effect of a homogeneous gravity field on the plane shock wave acceleration near the outside surface of a gas layer, initially in equilibrium, is analyzed within the framework of the self-similar formulation. A qualitative investigation is performed, the cases in which the first integrals exist are noted, and certain exact solutions of the problem are obtained at different power laws of the initial density variation.

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Authors and Affiliations

  1. Moscow State University, Leninskiye Gory 1, Main Building, GSP-1, Moscow, 119991, Russia

    A. N. Golubyatnikov & S. D. Kovalevskaya

Authors
  1. A. N. Golubyatnikov
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  2. S. D. Kovalevskaya
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Correspondence to A. N. Golubyatnikov.

Additional information

Original Russian Text © A.N. Golubyatnikov, S.D. Kovalevskaya, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 3, pp. 124–132.

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Golubyatnikov, A.N., Kovalevskaya, S.D. Self-similar gas motions in a gravity field. Fluid Dyn 49, 407–415 (2014). https://doi.org/10.1134/S0015462814030132

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  • DOI: https://doi.org/10.1134/S0015462814030132

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