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Fluid Dynamics

, Volume 4, Issue 6, pp 47–49 | Cite as

Slender bodies of revolution with minimum wave drag in nonequilibrium supersonic flow

  • R. A. Tkalenko
Article
  • 71 Downloads

Abstract

We examine the problem of finding the generatrix shape of a body of revolution which travels at supersonic speed and has minimum wave drag. We assume that any number of nonequilibrium processes can take place in the flow. The pressure distribution over the body surface is taken in the linear approximation [1, 2]. A survey of studies using linear theory to find bodies of revolution of optimal form in supersonic perfect gas flow can be found in [3]. The solution of the problem of finding the form of two-dimensional slender bodies of minimum wave drag in nonequilibrium supersonic flow was obtained in [4]. In the following we examine the optimization of only those bodies of revolution for which the leading point lies on the axis of symmetry.

Keywords

Body Surface Pressure Distribution Linear Approximation Linear Theory Supersonic Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. A. Tkalenko, “Supersonic nonequilibrium gas flow past slender bodies of revolution”, PMTF, no. 2, 1964.Google Scholar
  2. 2.
    A. N. Kraiko, “Weakly disturbed supersonic flows with an arbitrary number of nonequilibrium processes”, PMM, vol. 30, no. 4, 1966.Google Scholar
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    Theory of Optimum Aerodynamics Shapes, Extremal Problems in the Aerodynamics of Supersonic, Hypersonic, and Free Molecular Flows, Acad. Press, New York-London, 1965.Google Scholar
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    A. N. Kraiko and R. A. Tkalenko, “Slender two-dimensional bodies of minimum wave drag in non-equilibrium supersonic flow”, Izv. AN SSSR, MZhG [Fluid Dynamics], vol. 2, no. 4, 1967.Google Scholar
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    A. N. Kraiko, I. N. Naumova, and Yu. D. Shmyglevskii, “The construction of bodies of optimal form in supersonic flow”, PMM, vol. 28, no. 1, 1964.Google Scholar
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    M. Parker, “Minimum drag ducted and pointed bodies of revolution based on linearized supersonic theory”, NACA. Rept. no. 1213, 1955.Google Scholar
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    N. I. Muskhelishvili, Singular Integral Equations [in Russian], Gostekhizdat, Moscow, 1946.Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • R. A. Tkalenko
    • 1
  1. 1.Moscow

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