Motion of a Ferrofluid in a Periodic Magnetic Field due to Surface Deformation

The article considers a plane flow of an incompressible, viscous magnetizable fluid. Cause of the flow is an alternating magnetic field, which consequently affects the free surface to periodical deformation. The proof of a peristaltic material transport is desired. The STOKES approximation for creeping flows and the two-dimensional continuity equation serve for governing equations. The methods used include power series expansion with regard to the small ratio of e perturbed and unperturbed fraction of the magnetic field. The analytical result is discussed with regard to functional parameters. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)