Abstract
A two-phase continuum theory (two-fluid model) for a suspension of rigid spherical particles in a Newtonian fluid is applied to investigate theoretically the flow induced by impulsive motion of an infinite flat plate. Consideration of rotational intertia of the particles gives rise to an antisymmetric part of the volume averaged stress tensor of the continuous phase. The influence of particle rotation and of antisymmetric stresses of the continuous phase, which depend on the relative rotational motion between the particles and the ambient fluid, on the motion of each phase and on the skin friction is examined. Approximate solutions to the equations, corresponding to the physical situation of large and small particle slip, are obtained by power series expansions for small and large times.
Published Version
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