Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell
Authors: Safa, Yasser
Flueck, M.
Rappaz, J.
DOI: 10.1016/j.apm.2008.02.011
Published in: Applied Mathematical Modelling
Volume(Issue): 33
Issue: 3
Pages: 1479
Pages to: 1492
Issue Date: 2009
Publisher / Ed. Institution: Elsevier
ISSN: 0307-904X
1872-8480
Language: English
Subjects: Aluminium electrolysis; Magnetohydrodynamics; Chernoff scheme; Heat equation
Subject (DDC): 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.
URI: https://digitalcollection.zhaw.ch/handle/11475/12421
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Appears in collections:Publikationen School of Engineering

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