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Solution of a problem of supersonic gas flow past solids of revolution in the theory of small perturbations

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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.

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Literature cited

  1. S. I. Kusakin and M. F. Pritulo, “Method of deformed coordinates in the problem of supersonic gas flow past a wing,” in: Aeromechanics [in Russian], Nauka, Moscow (1976).

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  2. R. E. Meyer, “The method of characteristics in problems of compressed-liquid flow which depend on two variables,” in: Gasdynamics [Russian translation], IL, Moscow (1950).

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  3. G. B. Whitham, “The behavior of supersonic flow past a body of revolution, far from the axis,” Proc. R. Soc., London, Ser. A,201, No. 1064 (1950).

  4. V. V. Rusanov and É. I. Nazhestkina, Wave Resistance of Solids of Revolution of Power-Function Form (Axisymmetric Flow past the Solid), Institute of Problems in Mechanics, Academy of Sciences of the USSR, Moscow, Preprint No. 33 (1972).

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Authors and Affiliations

  1. Moscow

    V. I. Vasil'chenko & S. I. Kusakin

Authors
  1. V. I. Vasil'chenko
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  2. S. I. Kusakin
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Additional information

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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Vasil'chenko, V.I., Kusakin, S.I. Solution of a problem of supersonic gas flow past solids of revolution in the theory of small perturbations. Fluid Dyn 12, 897–903 (1977). https://doi.org/10.1007/BF01090326

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  • DOI: https://doi.org/10.1007/BF01090326

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