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The growth of secondary circulation in frictionless flow

Published online by Cambridge University Press:  24 October 2008

W. R. Hawthorne
W. R. Hawthorne
Affiliation:
Department of EngineeringUniversity of Cambridge
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Abstract

The appearance of a component of vorticity in the direction of flow materially alters the pattern of flow of a fluid in three dimensions. Expressions are obtained for this secondary vorticity in an inviscid compressible fluid flowing under the action of body forces. They are applied to examples such as a liquid under gravity and gas flow behind a curved shock. In compressible gas flow with varying temperature but constant stagnation pressure no secondary circulation appears. In a perfect gas atmosphere it is shown that secondary circulation may appear because of nou-adiabatic lapse rates as well as wind-speed gradients. It is also shown that in a liquid with a density gradient, gravitational effects can give rise to secondary vorticity components.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 737 - 743
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

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