Motion of a Ferrofluid in a Periodic Magnetic Field due to Surface Deformation |
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| Authors: | Jana Popp Igor Zeidis Klaus Zimmermann Valter Böhm Ralf Gärtner |
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| Affiliation: | Ilmenau University of Technology, Faculty of Mechanical Engineering, Max-Planck-Ring 12, D-98693 Ilmenau, Germany |
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| Abstract: | 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 ε 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) |
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