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Lifting bodies using the flow behind axisymmetric conical shock waves

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Abstract

One of the methods of designing aircraft with supersonic flight speeds involves solving an inverse problem by means of the well-known flow schemes and the substitution of rigid surfaces for the flow surfaces. Lifting bodies using the flows behind axisymmetric shock waves belong to these configurations. All lifting bodies using the flow behind a conical shock wave can be divided into two types [1]. Bodies whose leading edge passes through the apex of the conical shock wave pertain to the first type and those whose leading edge lies below the apex of the conical shock wave, to the second. For small apex angles of the basic cone at hypersonic flow velocities an approximate solution of the variation problem was obtained, which showed that the lift-drag ratio of lifting bodies of the second type is higher than that of the first [2]. The present paper gives a numerical solution of the problem for flow past lifting bodies of the second type using the flow behind axisymmetric conical shock waves with half-angles of the basic cone θS=9.5 and 18° The upper surfaces of the bodies are formed by intersecting planes parallel to the velocity vector of the oncoming flow.

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Literature cited

  1. J. G. Jones and R. A. Woods, “The design of compression surfaces for high supersonic speeds using conical flow fields,” Aeronaut. Res. Council, RM N3539 (1963).

  2. B. S. Kim, M. L. Rasmussen, and M. C. Jischke, “Optimization of waverider configurations generated from axisymmetric conical flows,” J. Spacecr. Rockets,20, 461 (1983).

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  3. G. I. Taylor and J. W. Maccoll, “Air pressure on a cone moving at high speeds,” Proc. R. Soc. London Ser. A,139, 278 (1933).

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  4. V. V. Keldysh, “Lift-drag ratio of a conic sector with a wing at regimes corresponding to cuts from a flow in the neighborhood of a circular cone at a zero angle of attack,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 118 (1968).

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Authors and Affiliations

  1. Moscow

    V. I. Voronin & A. I. Shvets

Authors
  1. V. I. Voronin
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  2. A. I. Shvets
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 135–138, March–April, 1986.

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Voronin, V.I., Shvets, A.I. Lifting bodies using the flow behind axisymmetric conical shock waves. Fluid Dyn 21, 283–286 (1986). https://doi.org/10.1007/BF01050182

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  • DOI: https://doi.org/10.1007/BF01050182

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