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Diabatic gas flows

Published online by Cambridge University Press:  28 March 2006

H. Marsh  and
J. H. Horlock
H. Marsh
Affiliation:
Engineering Department, Cambridge University
J. H. Horlock
Affiliation:
Department of Mechanical Engineering, Liverpool University
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Abstract

The general equations of motion are developed for a compressible, inviscid flow in which a non-uniform distribution of heat transfer is applied to the fluid or a non-uniform generation of heat per unit volume occurs. In general, vorticity can be created if the cross-products of the temperature and entropy gradients are finite. If the temperature gradients in the flow are small (first-order), then a non-uniform heat addition across the stream will produce a second-order change in vorticity. For this type of flow, solutions are obtained for the variations of velocity and density that occur in a two-dimensional plane flow and an axially symmetric three-dimensional flow. A simple expression is also obtained for the streamline displacement caused by the non-uniform addition of heat.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 4 , June 1961 , pp. 513 - 524
Copyright
© 1961 Cambridge University Press

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References

Tsien, H. S. 1958 The equations of gas dynamics, ch. 1 of Fundamentals of Gas Dynamics. Oxford University Press.
Vazsonyi, A. 1945 On rotational gas flows. Quart. Appl. Math., 3, 29–37.Google Scholar