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Lorentz Forces In The Container

Authors: K. Horáková; K. Fraňa;

Lorentz Forces In The Container

Abstract

{"references": ["P. A. Davidson: \"An Introduction to Magnetohydrodynamics\",\nCambridge, 2001", "P. Dold, K. W. Benz: \"Rotating magnetic fields: fluid flow and crystal\ngrowth applications\",", "R. M\u2500\u2592\u00dfner, G. Gerbeth: \"Buoyant melt flows under the influence of\nsteady and rotating magnetic fields\", Journal of Crystal Growth, 1999", "K.-H. Spitzer, \"Application of Rotating Magnetic Fields in Czochralski\nCrystal Growth\", Progress in Crystal Growth and Characterization of\nMaterials 38, pp 39-58, 1999", "L. M. Witkowski, J. S. Walker: \"Flow driven by Marangoni covection\nand Rotating Magnetic Field in a Floating - Zone configuration\",\nMagnetohydrodynamics, Vol. 37, 2001", "E. Yildiz, S. Dost: \"A numerical simulation study for the effect of\nmagnetic fields in liquid phase diffusion growth of SiGe single\ncrystals\", Journal of Crystal Growth 291, 2006", "Dole\u017eal I, Musil L.: \"Modern industrial technologies based on processes\nin fluid metal controlled by electromagnetic field\", Praha, 2003", "K. Hor\u251c\u00edkov\u251c\u00ed, K. Fra\u0148a: \"Lorentz forces of rotating magnetic field\",\nMechanical Engineering Journal Stroj\u251c\u00edrstvo, 2009, Slovak Republic", "K. Hor\u251c\u00edkov\u251c\u00ed, K. Fra\u0148a, \"The effect of Lorentz forces parameters\",\nExperimental fluid mechanics 2009, Liberec, Czech Republic\n[10] K. Fra\u0148a., J. Stiller, \"The Finite Element Method for Simulations of\nMagnetically Driven Flows\", International journal of mathematics and\ncomputers in simulation, Issue 3, Vol. 1, 2007, pp. 300-306\n[11] J. Priede, \"Theoretical study of a flow in an axisymmetric cavity of\nfinite length driven by a rotating magnetic field\", Ph.D. thesis, Institude\nof Physics, Latvian Academy of Science, Salaspils, 199\n[12] Marty PH.; L. Witkowski, \"On the stability of rotating MHD Flows\",\nTransfer Phenomena in Magnetohydrodynamic and Electroconducting\nFlows, 327-343, Netherlands, 1999\n[13] K. Fra\u0148a, J. Stiller, A numerical study of flows driven by a rotating\nmagnetic field in a square container, European Journal of Mechanics -\nB/Fluids, Issue 4, Vol. 27, 2008, p.p. 491-500\n[14] K. Hor\u251c\u00edkov\u251c\u00ed, K. Fra\u0148a, \"Energetic spectra of unsteady flows\", Journal\nof Applied Science in the Thermodynamics and Fluid Mechanics, No.\n1/2011"]}

Leading topic of this article is description of Lorentz forces in the container with cuboid and cylindrical shape. Inside of the container is an electrically conductive melt. This melt is driven by rotating magnetic field. Input data for comparing Lorentz forces in the container with cuboid shape were obtained from the computing program NS-FEM3D, which uses DDS method of computing. Values of Lorentz forces for container with cylindrical shape were obtained from inferred analytical formula.

Keywords

Lorentz forces, computing program NS-FEM3D, magnetohydrodynamics, rotatingmagnetic field

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