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The vorticity jump across a flow discontinuity

Published online by Cambridge University Press:  28 March 2006

Sune B. Berndt
Sune B. Berndt
Affiliation:
Royal Institute of Technology, Stockholm
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Abstract

Expressions are obtained for the jump in vorticity across a discontinuity surface which is not a contact surface. Admitting arbitrary motion of the fluid and the discontinuity, the most general of these is established on a purely kinematical basis. More specific expressions are obtained by successively enforcing the momentum equation of the flow and the conditions of conservation of mass and momentum across the discontinuity. Eventually Hayes's (1957) result for a gasdynamic discontinuity is recovered.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 3 , November 1966 , pp. 433 - 436
Copyright
© 1966 Cambridge University Press

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References

Berndt, S. B. 1966 The vorticity jump across a gasdynamic discontinuity as influenced by extraneous forces. Recent Progress in Applied Mechanics (ed. B. Broberg et al.). Stockholm: Almqvist and Wiksell/Gebers.
Hayes, W. D. 1957 The vorticity jump across a gasdynamic discontinuity. J. Fluid Mech. 2, 595.Google Scholar
Uberoi, M. S., Kuethe, A. M. & Menkes, H. R. 1958 Flow field of a Bunsen flame. Phys. Fluid. 1, 150.Google Scholar