Journal of Fluid Mechanics

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

L. G.  Leal a1 and E. J.  Hinch a2
a1 Chemical Engineering, California Institute of Technology
a2 Department of Applied Mathematics and Theoretical Physics, University of Cambridge

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


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.

(Published Online March 29 2006)
(Received March 1 1972)