Publikationstyp: Beitrag in wissenschaftlicher Zeitschrift
Art der Begutachtung: Peer review (Publikation)
Titel: Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell
Autor/-in: Safa, Yasser
Flueck, M.
Rappaz, J.
DOI: 10.1016/j.apm.2008.02.011
Erschienen in: Applied Mathematical Modelling
Band(Heft): 33
Heft: 3
Seite(n): 1479
Seiten bis: 1492
Erscheinungsdatum: 2009
Verlag / Hrsg. Institution: Elsevier
ISSN: 0307-904X
1872-8480
Sprache: Englisch
Schlagwörter: Aluminium electrolysis; Magnetohydrodynamics; Chernoff scheme; Heat equation
Fachgebiet (DDC): 510: Mathematik
530: Physik
Zusammenfassung: 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
Volltext Version: Publizierte Version
Lizenz (gemäss Verlagsvertrag): Lizenz gemäss Verlagsvertrag
Departement: School of Engineering
Organisationseinheit: Institute of Computational Physics (ICP)
Enthalten in den Sammlungen: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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