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We study hydrodynamic interactions of spherical particles in incidentPoiseuille flow in a channel with infinite planar walls. The particles aresuspended in a Newtonian fluid, and creeping-flow conditions are assumed.Numerical results, obtained using our highly accurate Cartesian-representationalgorithm [Physica A xxx, {\bf xx}, 2005], are presented for a single sphere,two spheres, and arrays of many spheres. We consider the motion of freelysuspended particles as well as the forces and torques acting on particlesadsorbed at a wall. We find that the pair hydrodynamic interactions in thiswall-bounded system have a complex dependence on the lateral interparticledistance due to the combined effects of the dissipation in the gap between theparticle surfaces and the backflow associated with the presence of the walls.For immobile particle pairs we have examined the crossover between severalfar-field asymptotic regimes corresponding to different relations between theparticle separation and the distances of the particles from the walls. We havealso shown that the cumulative effect of the far-field flow substantiallyinfluences the force distribution in arrays of immobile spheres. Therefore, thefar-field contributions must be included in any reliable algorithm forevaluating many-particle hydrodynamic interactions in the parallel-wallgeometry.Comment: submitted to Physics of Fluid

Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls