Memory impairment in flowing suspensions. Part 4.—Analytical solutions for effects of rotary Brownian motion of spheroids

Abstract

The effects of rotary Brownian motion on a dilute suspension of initially aligned monodisperse rigid spheroidal particles undergoing simple shear flow are considered for two cases which provide analytic solutions for loss of memory M of the initial orientation distributions: (i) spheroidal particles of arbitrary axis ratio undergoing weak rotary Brownian motion and (ii) spherical particles of any radius and hence any rotary diffusion coefficient.

The significance of the results is briefly discussed.