Peristaltic Transport in a Finite Circular Pipe
Part of the
Fluid Mechanics and its Applications
book series (FMIA, volume 43)
A viscous flow in a long pipe of a circular cross-section, driven by a time-dependent pressure drop at the ends of the pipe and the deformation of the pipe walls, is investigated. This kind of a flow is relevant to the peristaltic transport of blood, with the effect of the oscillating pressure gradient due to the heart pumping included. An explicit solution is obtained within the framework of lubrication theory approximation, and some numerical simulations to illustrate the model are carried out. In order to account for inertia effects, an approximation based on an a priori parabolic flow pattern across the pipe, is also derived.
KeywordsPipe Wall Lubrication Theory Parabolic Profile Peristaltic Transport Peristaltic Flow
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