Peristaltic Motion of a Particle-Fluid Suspension in a Planar Channel

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Abstract

We analyze the mechanics of peristaltic pumping of a particle-fluid suspension in a channel. A perturbation series (to second order) in dimensionless wave number of an infinite harmonic travelling wave is used to obtain an explicit form for the velocities and a relation between the flow rate and the pressure gradient in terms of the Reynolds number, concentration of the particles, suspension parameters, and the occlusion. We discuss the effect of the concentration of the particles, the Reynolds number, and the wave number on the pressure rise, peristaltic pumping, augmented pumping, and backward pumping. We also discuss the phenomenon of trapping.

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