Abstract
In the theoretical studies of several gasdynamic problems a major role is played by the hodograph plane, where the equations in terms of velocity component variables are linear. In these studies a primary role is played by the Chaplygin equation for the stream function ψ. Chaplygin [1] obtained a general solution for the equation of motion in the hodograph plane. Particular exact solutions of the hodograph are also known [2]: radial flow, spiral flow, etc. Below we consider a particular solution of the Chaplygin equation.
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References
S. A. Chaplygin, Gas Jets [in Russian], Gostekhizdat, 1949.
R. von Mises, Mathematical Theory of Flows of a Compressible Fluid [Russian translation], Izd. inostr. liter., 1961.
S. I. Pai, Introduction to Compressible Fluid Flow Theory [Russian translation], Izd. inostr. liter., 1962.
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Tsybizov, Y.I. A particular solution for the chaplygin equation. Fluid Dyn 1, 68–69 (1966). https://doi.org/10.1007/BF01106878
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DOI: https://doi.org/10.1007/BF01106878