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Dynamic simulation of bounded suspensions of hydrodynamically interacting particles

Published online by Cambridge University Press:  26 April 2006

Louis J. Durlofsky  and
John F. Brady
Louis J. Durlofsky
Affiliation:
Chevron Oil Field Research Company, PO Box 446, La Habra, CA 90633–0446, USA
John F. Brady
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

A general method for computing the hydrodynamic interactions among an infinite suspension of particles immersed between two infinite plane boundaries, under the condition of vanishing particle Reynolds number, is presented. The method accounts for both near-field particle-particle and particle-boundary lubrication effects as well as dominant many-body effects, which include reflections with both particles and boundaries. Through relative motion of the boundaries, a bulk shear flow can be generated, and the resulting particle motions, as well as the forces exerted by the boundaries on the fluid, computed. Knowledge of the boundary forces allows for the calculation of the suspension viscosity. The simulation method is applied to several example problems; in one, the resuspension of a sediment layer of particles is illustrated. The general method can also be extended to dynamically simulate suspensions immersed in a pressure driven flow between two walls or through a tube.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 200 , March 1989 , pp. 39 - 67
Copyright
© 1989 Cambridge University Press

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