title: Generic flow profiles induced by a beating cilium.
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.
authors.affiliation: J. Stefan Institute, Ljubljana, Slovenia. andrej.vilfan@ijs.si
authors.forename: A
authors.initials: A
authors.lastname: Vilfan
mesh_terms: D002923:Cilia / Q000378:metabolism*; D057446:Hydrodynamics; D055595:Mechanical Phenomena; D008954:Models, Biological