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The rheology of a suspension of nearly spherical particles subject to Brownian rotations

Published online by Cambridge University Press:  29 March 2006

L. G. Leal  and
E. J. Hinch
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

A set of constitutive equations, valid for arbitrary linear bulk flows, is derived for a dilute suspension of nearly spherical, rigid particles which are subject to rotary Brownian couples. These constitutive equations are subsequently applied to find the resulting stress patterns for a variety of time-dependent bulk flow fields. The rheological responses are found to exhibit many of the same qualitative features as have been observed in recent experimental investigations of polymeric solutions and other complex materials.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 55 , Issue 4 , 24 October 1972 , pp. 745 - 765
Copyright
© 1972 Cambridge University Press

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