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Two-dimensional transonic vortex flows of an ideal gas

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Abstract

Equations are obtained for two-dimensional transonic adiabatic (nonisoenergetic and nonisoentropic) vortex flows of an ideal gas, using the natural coordinatesϕψ (ψ=const is the family of streamlines, and ϕ=const is the family of lines orthogonal to them). It is not required that the transonic gas flow be close to a uniform sonic flow (the derivation is given without ε estimates). Solutions are found for equations describing vortex flows inside a Laval nozzle and near the sonic boundary of a free stream.

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 105–109, September–October, 1973.

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Sevost'yanov, G.D. Two-dimensional transonic vortex flows of an ideal gas. Fluid Dyn 8, 767–771 (1973). https://doi.org/10.1007/BF01023577

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  • DOI: https://doi.org/10.1007/BF01023577

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