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Remarks on the Prandtl Equation for a Permeable Wall
Author(s) -
Temam R.,
Wang X.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200011)80:11/12<835::aid-zamm835>3.0.co;2-9
Subject(s) - prandtl number , boundary layer , euler equations , mathematics , convergence (economics) , euler's formula , viscosity , mathematical analysis , boundary value problem , flow (mathematics) , mechanics , physics , heat transfer , thermodynamics , economics , economic growth
The goal of this article is to study the boundary layer for a flow in a channel with permeable walls. Observing that the Prandtl equation can be solved almost exactly in this case, we are able to derive rigorously a number of results concerning the boundary layer and the convergence of the Navier‐Stokes equations to the Euler equations. We indicate also how to derive higher order terms in the inner and outer expansions with respect to the kinematic viscosity ν .