Closed-form approximation for supersonic flow over a cone

Closed-form approximation for supersonic flow over a cone

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-f...

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Bibliographic Details
Published in:Shock waves Vol. 29; no. 4; pp. 589 - 593
Main Authors: Forbes, L. K., Hindle, T. J.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-05-2019
Springer Nature B.V
Subjects:
Acoustics
Approximation
Asymptotic methods
Closed form solutions
Condensed Matter Physics
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Exact solutions
Flow control
Fluid- and Aerodynamics
Heat and Mass Transfer
Mach number
Mathematical analysis
Shock waves
Supersonic flow
Technical Note
Thermodynamics
Conical flow
Shock layer
Taylor–Maccoll
Streamlines
Closed form
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Summary: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.
ISSN:0938-1287
1432-2153
DOI:10.1007/s00193-018-0879-0