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Compressible flows with circular sector hodographs

I. The general solution for simple wedge flows and a theorem on sonic jets

Published online by Cambridge University Press:  24 October 2008

Maureen D. McLaughlin  and
D. C. Pack
Maureen D. McLaughlin
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
D. C. Pack
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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Abstract

The general solution of Chaplygin's equation for the motion of an inviscid compressible fluid is obtained for ‘simple wedge flows’. Some particular examples are given and a discrepancy in earlier Russian papers explained. After a discussion of the properties of the velocity potential and the expression for the physical coordinates in terms of the hodograph variables, a general theorem on sonic jets is proved, namely, that the physical changes due to the presence of solid boundaries in the flow are completed within a finite distance in those directions in which the flow becomes finally a sonic jet.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 629 - 644
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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