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Viscous two-fluid flows in perturbed unbounded domains

✍ Scribed by K. Pileckas; J. Socolowsky

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
623 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Two stationary plane free boundary value problems for the Navier‐Stokes equations are studied. The first problem models the viscous two‐fluid flow down a perturbed or slightly distorted inclined plane. The second one describes the viscous two‐fluid flow in a perturbed or slightly distorted channel. For sufficiently small data and under certain conditions on parameters the solvability and uniqueness results are proved for both problems. The asymptotic behaviour of the solutions is investigated. For the second problem an example of nonuniqueness is constructed. Computational results of flow problems that are very close to the above problems are presented. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Expansion Functions for Two-Dimensional
Expansion Functions for Two-Dimensional Incompressible Fluid Flow in Arbitrary Domains
✍ J.P. Goedbloed πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 105 KB

Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics