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Note on a Generalised Velocity Parameter in Two-Dimensional Fluid Dynamics

Published online by Cambridge University Press:  04 July 2016

M. J . Cohen
M. J . Cohen*
Affiliation:
Northampton College of Advanced Technology, London
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Extract

The purpose of this note is to draw a formal parallel between the fundamental hodograph flow equations in subsonic and supersonic regimes when expressed in terms of a generalised velocity parameter. This parameter can cover, by simple algebraic extension, hodograph flows in either regime; it has simple geometrical and dynamical interpretations and models of the combined hodograph plans in terms of this parameter are also suggested.

A similar, and perhaps familiar, velocity parameter appears to have been first used in the solution of certain subsonic flow problems by Tsien, following a suggestion of von Kármán, although a more general and basic form was not described.

Type
Research Article
Information
The Aeronautical Journal , Volume 69 , Issue 651 , March 1965 , pp. 197 - 199
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Tsien, H. S.Two-Dimensional Subsonic Flow of Compres sible Fluids. Journal of Aeronautical Sciences, Vol. 6, No. 10, 1939.Google Scholar
2.Cohen, M. J. Two-Dimensional Gas Jets. Journal of Applied Mechanics (ASME Trans.), December 1960.Google Scholar
3.Cohen, M. J. A Hodograph Design Method for Compres sible Flow Problems. Journal of Applied Mechanics (ASME Trans.), September 1962.Google Scholar