Abstract
The flow around a slender profile by an ideal gas flow at a constant, almost sonic, velocity at infinity is considered. The behavior of the perturbed stream in the domain upstream of the compression shocks sufficiently remote from the streamlined body is studied. The question is investigated of what conditions the solution in the hodograph plane satisfies when it corresponds to a flow without singularities on the limit characteristic in the physical flow plane. It is known that cases are possible when a regular solution in the hodograph plane loses its regularity property upon being mapped into the physical plane [1]. A regular flow on the limit characteristic can be continued analytically downstream into the supersonic domain between the limit characteristic and the shock. The requirement of analyticity of the streamlined profile is essential for realizability of the flow under consideration.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 84–88, January–February, 1976.
In conclusion, the author is grateful to O. S. Ryzhov for discussing the research.
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Dobrovol'skaya, Z.N. Asymptotic representation of the solution in the hodograph plane in transonic flow problems around profiles. Fluid Dyn 11, 73–76 (1976). https://doi.org/10.1007/BF01023397
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DOI: https://doi.org/10.1007/BF01023397