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The vorticity jump across a gasdynamic discontinuity

Published online by Cambridge University Press:  28 March 2006

Wallace D. Hayes
Wallace D. Hayes
Affiliation:
Department of Aeronautical Engineering, Princeton University, and the Ramo-Wooldridge Corporation
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Abstract

An expression is obtained for the jump in the vorticity across a gasdynamic discontinuity in an inviscid flow. This result generalized results of Truesdell (1952) and Lighthill (1957) for the vorticity behind a steady curved shock in a uniform flow and that of Emmons (1957) for the vorticity jump across a steady flame. The derivation is a dynamical one, and no assumptions on the composition or thermodynamic properties of the fluid are made. The jump in vorticity in the steady flow case is found to depend upon the jump in density and upon gradients along the discontinuity surface of the tangential velocity component and of the normal mass flow. An analogous result is found with unsteady flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 2 , Issue 6 , August 1957 , pp. 595 - 600
Copyright
© 1957 Cambridge University Press

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References

Emmons, H. W. 1957 Article in Fundamentals of Gas Dynamics (Ed. H. W. Emmons), Vol. III of High Speed Aerodynamics and Jet Propulsion. Princeton University Press.
Lighthill, M. J. 1957 J. Fluid Mech. 2, 1–32.
Truesdell, C. 1952 J. Aero. Sci. 19, 826–828.