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Closed-form approximation for supersonic flow over a cone
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Forbes, LK
ORCID: 0000-0002-9135-3594 and Hindle, TJ 2019
, 'Closed-form approximation for supersonic flow over a cone'
, Shock Waves, vol. 29, no. 4
, pp. 589-593
, doi: 10.1007/s00193-018-0879-0.

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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.
Item Type: | Article |
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Authors/Creators: | Forbes, LK and Hindle, TJ |
Keywords: | conical flow, closed form, Taylor–Maccoll, shock layer, streamlines |
Journal or Publication Title: | Shock Waves |
Publisher: | Springer-Verlag |
ISSN: | 0938-1287 |
DOI / ID Number: | 10.1007/s00193-018-0879-0 |
Copyright Information: | Copyright 2018 Springer-Verlag GmbH Germany, part of Springer Nature |
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