Affiliation:
1. USTHB, Faculty of Mathematics16111 Alger, Algeria
Abstract
This study proves the existence of a steady vortex ring of an ideal fluid in Poiseuille flow. The method that was used is a variational method proposed by Benjamin (Benjamin 1976
The alliance of practical and analytical insight into the nonlinear problems of fluid mechanics
, vol. 503, pp. 8–29), in which a steady vortex ring can be obtained as a maximizer of a functional that is related to kinetic energy and the impulse over the set of rearrangements of a prescribed function.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
2 articles.
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