Abstract
Several authors have attempted with varying success to derive a complete set of basic equations for magnetic fluids having internal rotations. In this work a complete set of governing equations is derived on the basis of dynamic balance relationships with the dissipation function derived from thermodynamic consideration. The magnetization relaxation equation is thereby determined from requirement of positive entropy production along witha complete set of well-accepted constitutive laws. The analysis employs the Minkowski expression of electromagnetic momentum and assumes that the product of Maxwell stress and velocity for polarized media contributes to the energy balance on the same footing as contact stresses of pressure and viscous origin.
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Rosensweig, R.E. (2002). Basic Equations for Magnetic Fluids with Internal Rotations. In: Odenbach, S. (eds) Ferrofluids. Lecture Notes in Physics, vol 594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45646-5_4
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DOI: https://doi.org/10.1007/3-540-45646-5_4
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