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Conical flow near singular rays

Published online by Cambridge University Press:  29 March 2006

G. I. Zahalak
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University Present address: Brown University.
M. K. Myers
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University Present address: Joint Institute for Acoustics and Flight Sciences, The George Washington University.

Abstract

The steady flow of an ideal gas past a conical body is investigated by the method of matched asymptotic expansions, with particular emphasis on the flow near the singular ray occurring in linearized theory. The first-order problem governing the flow in this region is formulated, leading to the equation of Kuo, and an approximate solution is obtained in the case of compressive flow behind the main front. This solution is compared with the results of previous investigations with a view to assessing the applicability of the Lighthill-Whitham theories.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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