Journal of Fluid Mechanics

The effect of weak Brownian rotations on particles in shear flow

L. G.  Leal a1p1 and E. J.  Hinch a1
a1 Department of Applied Mathematics and Theoretical Physics University of Cambridge

Article author query
leal lg   [Google Scholar] 
hinch ej   [Google Scholar] 


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.

(Published Online March 29 2006)
(Received September 22 1970)

p1 Department of Chemical Engineering, California Institute of Technology