Abstract

We report on the theoretical analysis of an experiment where a ferrofluid drop swimming on top of a non-magnetic fluid layer is propelled forward by means of a rotating magnetic field. The drop is modelled first as a solid sphere with a Navier slip boundary condition, then as a liquid (half-)sphere with its own inner flow field. In both cases an analytical expression for the drop speed in terms of the experimentally accessible parameters is obtained. While the solution of the Navier slip model contains an unknown parameter, the slip length, the result of the liquid half-sphere model is completely free of fitting parameters and is shown to represent the experimentally measured dependencies very well.

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