|Title:||Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell|
|Authors :||Safa, Yasser|
|Published in :||Applied Mathematical Modelling|
|Publisher / Ed. Institution :||Elsevier|
|License (according to publishing contract) :||Licence according to publishing contract|
|Type of review:||Peer review (publication)|
|Subjects :||Aluminium electrolysis; Magnetohydrodynamics; Chernoff scheme; Heat equation|
|Subject (DDC) :||500: Natural sciences and mathematics |
|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|
|Appears in Collections:||Publikationen School of Engineering|
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