Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30382
Lorentz Forces in the Container

Authors: K. Fraňa, K. Horáková

Abstract:

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: Magnetohydrodynamics, Lorentz forces, rotatingmagnetic field, computing program NS-FEM3D

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1073353

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1302

References:


[1] P. A. Davidson: "An Introduction to Magnetohydrodynamics", Cambridge, 2001
[2] P. Dold, K. W. Benz: "Rotating magnetic fields: fluid flow and crystal growth applications",
[3] R. M─▒ßner, G. Gerbeth: "Buoyant melt flows under the influence of steady and rotating magnetic fields", Journal of Crystal Growth, 1999
[4] K.-H. Spitzer, "Application of Rotating Magnetic Fields in Czochralski Crystal Growth", Progress in Crystal Growth and Characterization of Materials 38, pp 39-58, 1999
[5] L. M. Witkowski, J. S. Walker: "Flow driven by Marangoni covection and Rotating Magnetic Field in a Floating - Zone configuration", Magnetohydrodynamics, Vol. 37, 2001
[6] E. Yildiz, S. Dost: "A numerical simulation study for the effect of magnetic fields in liquid phase diffusion growth of SiGe single crystals", Journal of Crystal Growth 291, 2006
[7] Doležal I, Musil L.: "Modern industrial technologies based on processes in fluid metal controlled by electromagnetic field", Praha, 2003
[8] K. Hor├íkov├í, K. Fraňa: "Lorentz forces of rotating magnetic field", Mechanical Engineering Journal Stroj├írstvo, 2009, Slovak Republic
[9] K. Hor├íkov├í, K. Fraňa, "The effect of Lorentz forces parameters", Experimental fluid mechanics 2009, Liberec, Czech Republic
[10] K. Fraňa., J. Stiller, "The Finite Element Method for Simulations of Magnetically Driven Flows", International journal of mathematics and computers in simulation, Issue 3, Vol. 1, 2007, pp. 300-306
[11] J. Priede, "Theoretical study of a flow in an axisymmetric cavity of finite length driven by a rotating magnetic field", Ph.D. thesis, Institude of Physics, Latvian Academy of Science, Salaspils, 199
[12] Marty PH.; L. Witkowski, "On the stability of rotating MHD Flows", Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows, 327-343, Netherlands, 1999
[13] K. Fraňa, J. Stiller, A numerical study of flows driven by a rotating magnetic field in a square container, European Journal of Mechanics - B/Fluids, Issue 4, Vol. 27, 2008, p.p. 491-500
[14] K. Hor├íkov├í, K. Fraňa, "Energetic spectra of unsteady flows", Journal of Applied Science in the Thermodynamics and Fluid Mechanics, No. 1/2011