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5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

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Navier-Stokes equations in channel with wavy walls
by
Vladimir Mityushev
Eq. Milieux Poreux et Fracturés, IPGP, tour 24, 4, place Jussieu, 75252 - Paris Cedex 05, France
Coauthors: P. M. Adler, A. E. Malevich

Abstract

Flow of viscous fluid through a channel enclosed by two wavy walls whose amplitude is proportional to the mean clearance of the channel multiplied by the small dimensionless parameter e is considerd. The application of an analytical-numerical algorithm yields efficient formulas for the velocities and permeability. These formulas include e in symbolic form. When e increases, the Poiseuille flow (e = 0) is disturbed and eddies can arise above a critical value e = ee depending on the Reynolds number. These results are also successfully compared to the ones derived by other authors and a fully numerical solution.

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Date received: May 22, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caqw-66.