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The effect of weak Brownian rotations on particles in shear flow

Published online by Cambridge University Press:  29 March 2006

L. G. Leal  and
E. J. Hinch
L. G. Leal
Affiliation:
Department of Applied Mathematics and Theoretical Physics University of Cambridge Department of 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

Axisymmetric particles in zero Reynolds number shear flow execute closed orbits. In this paper we consider the role of small Brownian couples in establishing a steady-state probability distribution for a particle being on any particular orbit. After presenting the basic equations, we derive an expression for the equilibrium distribution. This result is then used to calculate some bulk properties for a suspension of such particles, and these predicted properties are compared with available experimental observation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 4 , 27 April 1971 , pp. 685 - 703
Copyright
© 1971 Cambridge University Press

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