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arXiv · 1207.1632

Generic flow profiles induced by a beating cilium

Andrej Vilfan
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Abstract

We describe a multipole expansion for the low Reynolds number fluid flows generated by a localized source embedded in a plane with a no-slip boundary condition. It contains 3 independent terms that fall quadratically with the distance and 6 terms that fall with the third power. Within this framework we discuss the flows induced by a beating cilium described in different ways: a small particle circling on an elliptical trajectory, a thin rod and a general ciliary beating pattern. We identify the flow modes present based on the symmetry properties of the ciliary beat.

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Andrej Vilfan. 2012-07-06. Generic flow profiles induced by a beating cilium. https://doi.org/10.1140/epje%2Fi2012-12072-3

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