Title: Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell
Authors : Safa, Yasser
Flueck, M.
Rappaz, J.
Published in : Applied Mathematical Modelling
Volume(Issue) : 33
Issue : 3
Pages : 1479
Pages to: 1492
Publisher / Ed. Institution : Elsevier
Issue Date: 2009
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (publication)
Language : English
Subjects : Aluminium electrolysis; Magnetohydrodynamics; Chernoff scheme; Heat equation
Subject (DDC) : 500: Natural sciences and mathematics
530: Physics
Abstract: A system of partial differential equations describing the thermal behavior of aluminium cell coupled with magnetohydrodynamic effects is numerically solved. The thermal model is considered as a two-phases Stefan problem which consists of a non-linear convection–diffusion heat equation with Joule effect as a source. The magnetohydrodynamic fields are governed by Navier–Stokes and by static Maxwell equations. A pseudo-evolutionary scheme (Chernoff) is used to obtain the stationary solution giving the temperature and the frozen layer profile for the simulation of the ledges in the cell. A numerical approximation using a finite element method is formulated to obtain the fluid velocity, electrical potential, magnetic induction and temperature. An iterative algorithm and 3-D numerical results are presented.
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Publication type: Article in scientific journal
DOI : 10.1016/j.apm.2008.02.011
ISSN: 0307-904X
URI: https://digitalcollection.zhaw.ch/handle/11475/12421
Appears in Collections:Publikationen School of Engineering

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