| 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 |
| Page(s): | 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): | 510: 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. |
| 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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Safa, Y., Flueck, M., & Rappaz, J. (2009). Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell. Applied Mathematical Modelling, 33(3), 1479–1492. https://doi.org/10.1016/j.apm.2008.02.011
Safa, Y., Flueck, M. and Rappaz, J. (2009) ‘Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell’, Applied Mathematical Modelling, 33(3), pp. 1479–1492. Available at: https://doi.org/10.1016/j.apm.2008.02.011.
Y. Safa, M. Flueck, and J. Rappaz, “Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell,” Applied Mathematical Modelling, vol. 33, no. 3, pp. 1479–1492, 2009, doi: 10.1016/j.apm.2008.02.011.
SAFA, Yasser, M. FLUECK und J. RAPPAZ, 2009. Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell. Applied Mathematical Modelling. 2009. Bd. 33, Nr. 3, S. 1479–1492. DOI 10.1016/j.apm.2008.02.011
Safa, Yasser, M. Flueck, and J. Rappaz. 2009. “Numerical Simulation of Thermal Problems Coupled with Magnetohydrodynamic Effects in Aluminium Cell.” Applied Mathematical Modelling 33 (3): 1479–92. https://doi.org/10.1016/j.apm.2008.02.011.
Safa, Yasser, et al. “Numerical Simulation of Thermal Problems Coupled with Magnetohydrodynamic Effects in Aluminium Cell.” Applied Mathematical Modelling, vol. 33, no. 3, 2009, pp. 1479–92, https://doi.org/10.1016/j.apm.2008.02.011.
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