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Generic flow profiles induced by a beating cilium

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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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Authors and Affiliations

  1. J. Stefan Institute, Jamova 39, 1000, Ljubljana, Slovenia

    A. Vilfan

  2. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    A. Vilfan

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  1. A. Vilfan
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Vilfan, A. Generic flow profiles induced by a beating cilium. Eur. Phys. J. E 35, 72 (2012). https://doi.org/10.1140/epje/i2012-12072-3

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  • DOI: https://doi.org/10.1140/epje/i2012-12072-3

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