eCite Digital Repository

Closed-form approximation for supersonic flow over a cone


Forbes, LK and Hindle, TJ, Closed-form approximation for supersonic flow over a cone, Shock Waves, 29, (4) pp. 589-593. ISSN 0938-1287 (2019) [Refereed Article]

Copyright Statement

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

DOI: doi:10.1007/s00193-018-0879-0


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:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
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:137088
Year Published:2019
Deposited By:Mathematics
Deposited On:2020-01-30
Last Modified:2020-08-25

Repository Staff Only: item control page