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A model for Stokes flow in a two-dimensional bifurcating channel

Published online by Cambridge University Press:  20 April 2006

K. B. Ranger  and
H. Brenner
K. B. Ranger
Affiliation:
Department of Mathematics, University of Toronto, Canada M5S 1A1
H. Brenner
Affiliation:
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
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Abstract

A model is presented for steady two-dimensional Stokes flow in a bifurcating channel. The geometry of the bifurcation is symmetric, but the flow rates through the two branches may be unequal. It is found that separation takes place on the outer boundary of the channel for either a smooth or a sharp flow divider, but only when the flow rates through the two branches of the channel are sufficiently different.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 152 , March 1985 , pp. 1 - 13
Copyright
© 1985 Cambridge University Press

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