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On the obtaining of axisymmetric flows from plane-parallel flows

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Abstract

The obtaining of axisymmetric flows of incompressible and compressible fluids from plane-parallel flows by means of integral transformations relating harmonic and p-harmonic functions [1] is considered. A transformation is found that carries plane-parallel flows from elementary singularities into axisymmetric flows. It is shown that this transformation makes it possible to obtain the general form of the solution of axisymmetric problems of flow past bodies from the solution of plane-parallel problems.

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  1. Dnepropetrovsk

    O. G. Goman

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  1. O. G. Goman
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 113–121, September–October, 1982.

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Goman, O.G. On the obtaining of axisymmetric flows from plane-parallel flows. Fluid Dyn 17, 747–754 (1982). https://doi.org/10.1007/BF01090157

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  • DOI: https://doi.org/10.1007/BF01090157

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