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

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

2005-08-12

arxiv.org/abs/cond-mat/0508309v1

Phys. Fluids 18, 053301 (2006) (20 pages)

Physics

Condensed Matter

Soft Condensed Matter

submitted to Physics of Fluids

Scientific paper

10.1063/1.2195992

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results, obtained using our highly accurate Cartesian-representation algorithm [Physica A xxx, {\bf xx}, 2005], are presented for a single sphere, two spheres, and arrays of many spheres. We consider the motion of freely suspended particles as well as the forces and torques acting on particles adsorbed at a wall. We find that the pair hydrodynamic interactions in this wall-bounded system have a complex dependence on the lateral interparticle distance due to the combined effects of the dissipation in the gap between the particle surfaces and the backflow associated with the presence of the walls. For immobile particle pairs we have examined the crossover between several far-field asymptotic regimes corresponding to different relations between the particle separation and the distances of the particles from the walls. We have also shown that the cumulative effect of the far-field flow substantially influences the force distribution in arrays of immobile spheres. Therefore, the far-field contributions must be included in any reliable algorithm for evaluating many-particle hydrodynamic interactions in the parallel-wall geometry.

Affiliated with

Also associated with

No associations

Rating

Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38005