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Closed-form approximation for supersonic flow over a cone

journal contribution
posted on 2023-05-20, 10:19 authored by Lawrence ForbesLawrence Forbes, Ivy Hindle
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.

History

Publication title

Shock Waves

Volume

29

Issue

4

Pagination

589-593

ISSN

0938-1287

Department/School

School of Natural Sciences

Publisher

Springer-Verlag

Place of publication

175 Fifth Ave, New York, USA, Ny, 10010

Rights statement

Copyright 2018 Springer-Verlag GmbH Germany, part of Springer Nature

Repository Status

  • Restricted

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