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Closed-form approximation for supersonic flow over a cone
Citation
Forbes, LK and Hindle, TJ, Closed-form approximation for supersonic flow over a cone, Shock Waves pp. 1-5. ISSN 0938-1287 (2018) [Refereed Article]
Copyright Statement
Copyright 2018 Springer-Verlag GmbH Germany, part of Springer Nature
DOI: doi:10.1007/s00193-018-0879-0
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 Details
Item Type: | Refereed Article |
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Keywords: | conical flow, closed form, Taylor-Maccoll, shock layer, streamlines |
Research Division: | Engineering |
Research Group: | Fluid mechanics and thermal engineering |
Research Field: | Microfluidics and nanofluidics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the physical sciences |
UTAS Author: | Forbes, LK (Professor Larry Forbes) |
UTAS Author: | Hindle, TJ ( Ivy Hindle) |
ID Code: | 130440 |
Year Published: | 2018 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2019-01-24 |
Last Modified: | 2019-04-26 |
Downloads: | 0 |
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