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Rotational compressible inviscid flow with rolled vortex sheets. An analytical algorithm for the computation of the core

Published online by Cambridge University Press:  19 April 2006

J. P. Guiraud  and
R. Kh. Zeytounian
J. P. Guiraud
Affiliation:
Laboratoire de Mécanique Théorique, associé au C.N.R.S., Université de Paris VI, Tour 66, Place Jussieu, 75230 Paris Cedex 05, and O.N.E.R.A., 92320 Chatillon, France
R. Kh. Zeytounian
Affiliation:
U.E.R. de Mathématiques Pures et Appliquées, Université de Lille I, B.P. 36, 59650 Villeneuve d'Ascq, and O.N.E.R.A., 92320 Chatillon, France
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Abstract

Previous work on irrotational incompressible inviscid flow (Guiraud & Zeytounian 1977) is extended to rotational and compressible flow. A formal proof is given that, within the core, one may avoid computing with the sheet by defining an equivalent continuous flow. One shows how the vorticity and the entropy gradient between the turns of the sheet are transported along trajectories of the equivalent continuous flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 2 , 27 November 1980 , pp. 393 - 401
Copyright
© 1980 Cambridge University Press

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