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Fundamental Singularities in a Two-Fluid Stokes Flow with a Plane Interface

Published online by Cambridge University Press:  05 May 2011

H. Y. Yu
H. Y. Yu*
Affiliation:
U.S. Army Research Laboratory—Far East Research Office, 7–23–17 Roppongi, Minato-Ku, Tokyo 106–0032, Japan
*
*Scientist and Acting Director
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Abstract

A modified image method is presented for obtaining the solutions of the fundamental singularities in the neighborhood of a plane interface between two semi-infinite, immiscible, and incompressible viscous fluids. The fundamental singularities considered are the stokeslet, rotlet, stresslet, stokes-doublet, source, and source-doublet. The Galerkin vector function representation introduced reduces the complexity of the expressions for the solutions. Moreover, the physical meaning of each solution is clearly identified by these new expressions.

Keywords

StokesletsSingularitiesTwo-fluid flowStokes flow

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Type
Articles
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Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 263 - 270
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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