Journal of Fluid Mechanics

Shear-induced dispersion in a dilute suspension of rough spheres

F. R.  Da Cunha a1p1 and E. J.  Hinch a1
a1 Department of Applied Mathematics and Theoretical Physics, The University of Cambridge, Silver Street, Cambridge CB3 9EW, UK

Article author query
da cunha fr   [Google Scholar] 
hinch ej   [Google Scholar] 


In the absence of Brownian motion, inertia and inter-particle forces, two smooth spheres collide in a simple shear flow in a reversible way returning to their initial streamlines. Because the minimum separation during the collision can be less than 10−4 of the radius, quite a small surface roughness can have a significant irreversible effect on the collision. We calculate the change between the initial and final streamlines caused by roughness. Repeated random collisions in a dilute suspension lead to a diffusion of the particles across the streamlines. We calculate the shear-induced diffusivity for both self-diffusion and down-gradient diffusion.

(Published Online April 26 2006)
(Received February 7 1995)
(Revised October 10 1995)

p1 Current address: University of Brazilia, Department of Mechanical Engineering, Campus Universitario-Asa Norte, Brasilia-DF, Brazil 70910-900.