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Solution of a problem of supersonic gas flow past solids of revolution in the theory of small perturbations
Authors:V I Vasil'chenko  S I Kusakin
Abstract:A small-parameter method is widely used today for solving many problems of aerodynamics. It has made it possible to obtain results which are interesting from the practical point of view. In particular, it has helped to solve a problem dealing with a substantially three-dimensional field of flow around a wing with finite wingspread past which a gas is flowing at supersonic speed 1]. However, in the problem of flow past solids of revolution, certain difficulties have been encountered in the application of the method. In the present paper, within the framework of the theory of small perturbations, we consider a method for obtaining a solution in which these difficulties can be avoided. We obtain simple analytic expressions for the aerodynamic characteristics of solids of revolution in a supersonic stream of gas. We give a comparison of the results with experimental data and with calculations carried out by the method of characteristics.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 99–106, November–December, 1977.In conclusion, the authors wish to thank V. V. Sychev for his comments on the results of the study.
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