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Higher-Order Solutions for Unsteady Hypersonic and Supersonic Flow

Published online by Cambridge University Press:  07 June 2016

W H Hui  and
J Hamilton
W H Hui
Affiliation:
University of Waterloo, Ontario, Canada
J Hamilton
Affiliation:
University of Southampton
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Summary

The problem of unsteady hypersonic and supersonic flow with attached shock wave past wedge-like bodies is studied, using as a basis the assumption that the unsteady flow is a small perturbation from a steady uniform wedge flow. It is formulated in the most general case and applicable for any motion or deformation of the body. A method of solution to the perturbation equations is given by expanding the flow quantities in power series in M−2, M being the Mach number of the steady wedge flow. It is shown how solutions of successive orders in the series may be calculated. In particular, the second-order solution is given and shown to give improvements uniformly over the first-order solution.

Type
Research Article
Information
Aeronautical Quarterly , Volume 25 , Issue 1 , February 1974 , pp. 59 - 68
Copyright
Copyright © Royal Aeronautical Society. 1974

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