A New Approach to the Analytical Formulation of the Magnetic Pressure in Liquid Metal DeformationReport as inadecuate




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1 Applied Physics and Applied Mathematics Department 2 Department of Electrical Engineering

Abstract : This work deals with investigating the electromagnetic deformation of liquid metals due to magnetic pressure. First, the distribution of the magnetic fringing field produced by a gapped AC inductor in presence of a liquid metal pool is analytically investigated. The analytical method uses a combination of the direct solution of the scalar magnetic potential together with the mirror image method and conformal mapping. In the next step, the liquid metal pool deformation by the magnetic pressure produced by the gapped inductor is analytically formulated. The model is based on the Young-Laplace equation which is pressure equilibrium over the surface of the liquid metal. The surface contour of the liquid metal pool appears in the results of the differential equation. The non-dimensionalized differential equation is solved by the use of Green’s functions. The proposed method is able to calculate the liquid metal pool deformation in 2D. The analytical approach is validated by the results obtained from experimental tests.

Keywords : Liquid metal MHD Meltpool deformation Magnetic fringing field calculation





Author: S.M.H. Mirhoseini - Alireza Gholipour - K Van Reusel - J Driesen -

Source: https://hal.archives-ouvertes.fr/



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