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Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities

Published online by Cambridge University Press:  20 April 2006

Jonathan J. L. Higdon
Jonathan J. L. Higdon
Affiliation:
Department of Chemical Engineering, University of Illinois at Urbana-Champaign, 1209 W. California Street, Urbana, Illinois 61821
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Abstract

A method is described for solving the integral equations governing Stokes flow in arbitrary two-dimensional domains. It is demonstrated that the boundary-integral method provides an accurate, efficient and easy-to-implement strategy for the solution of Stokes-flow problems. Calculations are presented for simple shear flow in a variety of geometries including cylindrical and rectangular, ridges and cavities. A full description of the flow field is presented including streamline patterns, velocity profiles and shear-stress distributions along the solid surfaces. The results are discussed with special relevance to convective transport processes in low-Reynolds-number flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 159 , October 1985 , pp. 195 - 226
Copyright
© 1985 Cambridge University Press

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