NDLI: Mathematical Model of the Processes of Heat and Mass Transfer and Diffusion of the Magnetic Field in an Induction Furnace

Content Provider	Springer Nature Link
Author	Permiv, A. V. Nikulin, I. L.
Copyright Year	2016
Abstract	We propose a mathematical model describing the motion of a metal melt in a variable inhomogeneous magnetic field of a short solenoid. In formulating the problem, we made estimates and showed the possibility of splitting the complete magnetohydrodynamical problem into two subproblems: a magnetic field diffusion problem where the distributions of the external and induced magnetic fields and currents are determined, and a heat and mass transfer problem with known distributions of volume sources of heat and forces. The dimensionless form of the heat and mass transfer equation was obtained with the use of averaging and multiscale methods, which permitted writing and solving separately the equations for averaged flows and temperature fields and their oscillations. For the heat and mass transfer problem, the boundary conditions for a real technological facility are discussed. The dimensionless form of the magnetic field diffusion equation is presented, and the experimental computational procedure and results of the numerical simulation of the magnetic field structure in the melt for various magnetic Reynolds numbers are described. The extreme dependence of heat release on the magnetic Reynolds number has been interpreted.
Starting Page	397
Ending Page	409
Page Count	13
File Format	PDF
ISSN	10620125
Journal	Journal of Engineering Physics and Thermophysics
Volume Number	89
Issue Number	2
e-ISSN	1573871X
Language	English
Publisher	Springer US
Publisher Date	2016-04-11
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	induction melting superalloy variable magnetic field magnetic field diffusion inductive current heat and mass transfer convection multiscale method averaging method Engineering Thermodynamics, Heat and Mass Transfer Thermodynamics Industrial Chemistry/Chemical Engineering Statistical Physics, Dynamical Systems and Complexity Mechanics
Content Type	Text
Resource Type	Article
Subject	Engineering Condensed Matter Physics

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