ELECTRO-VORTEX FLOW IN LIQUID METAL BATTERIES
Résumé
We study the generation of rotational flows in electrically conducting fluids due to the Electro-Vortex-Flow (EVF) phenomenon, i.e. the interaction of a non-uniform current with the magnetic field it generates. We have been developing a so-called code SFEMaNS since 2001 [2] capable of simulating the nonlinear magnetohydrodynamic (MHD) equations in heterogeneous domains (with electrical conductivity or magnetic permeability jumps) in axisymmetric geometries and with several fluids [1]. Liquid Metal Batteries are composed of three layers of fluids (liquid metal electrode-electrolyte liquid metal electrode) of different densities lying over each other and stabilized by gravity. These batteries are prone to magnetohydrodynamical instabilities (e.g. the Tayler instability [3], the Metal Pad Roll instability [4], etc.) which may deform the electrode-electrolyte interfaces until the ultimate situation of short circuit when the two metals touch each other.
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