Contribution of a time-dependent metric on the dynamics of an interface between two immiscible electro-magnetically controllable Fluids - Physics > Fluid DynamicsReport as inadecuate




Contribution of a time-dependent metric on the dynamics of an interface between two immiscible electro-magnetically controllable Fluids - Physics > Fluid Dynamics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We consider the case of a deformable material interface between twoimmiscible moving media, both of them being magnetiable. The time dependence ofthe metric at the interface introduces a non linear term, proportional to themean curvature, in the surface dynamical equations of mass momentum and angularmomentum. We take into account the effects of that term also in the singularmagnetic and electric fields inside the interface which lead to the existenceof currents and charges densities through the interface, from the derivation ofthe Maxwell equations inside both bulks and the interface. Also, we give theexpression for the entropy production and of the different thermo-dynamicalfluxes. Our results enlarge previous results from other theories where thespecific role of the time dependent surface metric was insufficiently stressed.



Author: Q. Vanhaelen, M. Hennenberg, S. Slavtchev, B. Weyssow

Source: https://arxiv.org/



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