Wall effects on the slow steady motion of a particle in a viscous incompressible fluid
作者:
T. M. Fischer,
W. Wendland,
期刊:
Mathematical Methods in the Applied Sciences
(WILEY Available online 1986)
卷期:
Volume 8,
issue 1
页码: 23-40
ISSN:0170-4214
年代: 1986
DOI:10.1002/mma.1670080103
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractIn this paper, asymptotic expansions with respect to small Reynolds numbers are proved for the slow steady motion of an arbitrary particle in a viscous, incompressible fluid past a single plane wall. The flow problem is modelled by a certain boundary value problem for the stationary, nonlinear Navier‐Stokes equations. The coefficients of these expansions are the solutions of various, linear Stokes problems which can be constructed by single layer potentials and corresponding boundary integral equations on the boundary surface of the particle. Furthermore, some asymptotic estimates at small Reynolds numbers are presented for the slow steady motion of an arbitrary particle in a viscous, incompressible fluid between two parallel, plane walls and in an infinitely long, rectilinear cylinder of arbitrary cross section.In the case of the flow problem with a single plane wall, the paper is based on a thesis, which the author has written under the guidance of Professor Dr. Wolfgang L. Wendlan
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