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

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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.

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References

  1. R. A. Tkalenko, “Supersonic nonequilibrium gas flow past slender bodies of revolution”, PMTF, no. 2, 1964.

  2. A. N. Kraiko, “Weakly disturbed supersonic flows with an arbitrary number of nonequilibrium processes”, PMM, vol. 30, no. 4, 1966.

  3. Theory of Optimum Aerodynamics Shapes, Extremal Problems in the Aerodynamics of Supersonic, Hypersonic, and Free Molecular Flows, Acad. Press, New York-London, 1965.

  4. 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.

  5. 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.

  6. M. Parker, “Minimum drag ducted and pointed bodies of revolution based on linearized supersonic theory”, NACA. Rept. no. 1213, 1955.

  7. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Gostekhizdat, Moscow, 1946.

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The author wishes to thank A. N. Kraiko for his helpful comments.

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Tkalenko, R.A. Slender bodies of revolution with minimum wave drag in nonequilibrium supersonic flow. Fluid Dyn 4, 47–49 (1969). https://doi.org/10.1007/BF01032473

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  • DOI: https://doi.org/10.1007/BF01032473

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