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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 |
|---|---|
| Keywords: | conical flow, closed form, Taylor-Maccoll, shock layer, streamlines |
| Research Division: | Physical Sciences |
| Research Group: | Classical Physics |
| Research Field: | Fluid Physics |
| 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 ( Thomas 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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