Maxwell's equations and vorticity: A note on the viscosity of magnetic fluids |
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| Institution: | 1. Department Electrical Power Engineering, Technical University of Kosice, Masiarska 74, 041 20 Kosice, Slovakia;2. Institute of Experimental Physics SAS, Watsonova 47, 040 01 Kosice, Slovakia;3. Institute of Physics, Faculty of Sciences, P. J. Safarik University, Park Angelinum 9, 041 54 Kosice, Slovakia;1. Depatment of Physics, Bangalore University, Bengaluru 560056, India;2. Materials Research Centre, Indian Institute of Science, Bengaluru 560012, India;3. Department of Physics, Indian Institute of Science, Bengaluru 560012, India;1. Department of Physics Engineering, Hacettepe University, Ankara 06800, Turkey;2. Eti Maden Works General Management, Ankara 06105, Turkey;1. Universidad del País Vasco BCMaterials UPV-EHU, Leioa, 48940 Spain;2. Ural Federal University, Ekaterinburg, 620000 Russia;3. I.Kant Baltic Federal University, Kaliningrad, 23601 Russia;4. SGIker, ServiciosGenerales de Investigación, Universidad del País Vasco (UPV/EHU), Bilbao, 48080 Spain;5. Institute of Electrophysics, Ural Division, RAS, Ekaterinburg, 620016 Russia;6. Siberian State Medical University, Tomsk, 634050 Russia;7. National Research Tomsk Polytechnic University, Tomsk, 634050 Russia;1. Ural Federal University, Mira 19, 620002 Ekaterinburg, Russia;2. Immanuel Kant Baltic Federal University, 236041 Kaliningrad, Russia;3. Institute of Electrophysics UD RAS, Amundsen 106, 620016 Ekaterinburg, Russia;4. University of the Basque Country UPV-EHU, 48940 Leioa, Spain;5. Irkutsk State University, Karl Marks 1, 664003 Irkutsk, Russia |
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| Abstract: | In magnetic fluid flows, it is generally assumed that the magnetization is kicked out of alignment by viscous forces when the vorticity has a component orthogonal to the magnetic field. Analytical expressions for the rotational viscosity πr have been derived from this assumption.Here, it is argued that one must not forget the Maxwell equations in this derivation: Even a non-equilibrium magnetization has still to obey the magnetic field laws. Consequences of their inclusion are discussed; the results are supported by available data. An experiment is proposed to test the predicted field dependence of νr in more detail. |
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