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The approximate solution of the equation for the supersonic flow of a gas

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Abstract

A new approximation of the Chaplygin function is proposed in this paper, one that is suitable at 1 < M < 3, making it possible to find analytical solutions for the equations of supersonic gas flow. An explicit form of the Riemann function has been derived for the potential equation and the stream function, and the limit transitions to the Tricomi equation or to the Euler-Poisson-Darboux equation are examined.

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Literature cited

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Authors and Affiliations

  1. Institute of Heat and Mass Transfer, Academy of Sciences of the Belorussian SSR, Minsk

    P. M. Kolesnikov

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  1. P. M. Kolesnikov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 16, No. 6, pp. 1002–1008, June, 1969.

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Kolesnikov, P.M. The approximate solution of the equation for the supersonic flow of a gas. Journal of Engineering Physics 16, 683–688 (1969). https://doi.org/10.1007/BF00828629

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  • DOI: https://doi.org/10.1007/BF00828629

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