Brownian diffusion of a small particle in a suspension II. Hydrodynamic effect in a random fixed bed
Abstract
The Brownian diffusion of a small particle in a fluid flowing through a random fixed bed of identical spheres is considered. To lowest order in the volume fraction φ of the suspension, the diffusion constant is shown to be renormalized in the direction transverse to the velocity as D _{⊥} = D(1+3( {φ}/{2}) ^{{1}/{2}}) provided the velocity is large enough.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 April 1983
 DOI:
 10.1016/03784371(83)901620
 Bibcode:
 1983PhyA..119..307C