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Closed-form approximation for supersonic flow over a cone

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Abstract

In this technical note, we present an asymptotic approximation for supersonic flow about a pointed cone, with an attached conical shock wave. The classical Taylor–Maccoll equation is simplified slightly, assuming high-speed flow and a narrow cone angle, and this allows us to give a complete closed-form solution. We demonstrate that our asymptotic solution is accurate for all body cone angles as the free-stream Mach number is increased. A closed-form expression for the streamsurfaces in the shock layer is presented.

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Authors and Affiliations

  1. School of Mathematics and Physics, University of Tasmania, Hobart, TAS, 7005, Australia

    L. K. Forbes & T. J. Hindle

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  1. L. K. Forbes
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  2. T. J. Hindle
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Correspondence to L. K. Forbes.

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Communicated by D. Zeitoun and A. Higgins.

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Forbes, L.K., Hindle, T.J. Closed-form approximation for supersonic flow over a cone. Shock Waves 29, 589–593 (2019). https://doi.org/10.1007/s00193-018-0879-0

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  • DOI: https://doi.org/10.1007/s00193-018-0879-0

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