# Thermoelectric MHD effects on equiaxed crystal morphology

Kao, Andrew, Pericleous, Koulis A., Patel, Mayur and Voller, V.
(2009)
*Thermoelectric MHD effects on equiaxed crystal morphology.*
6th International Conference on Electromagnetic Processing of Materials, EPM 2009.
Forschungszentrum Dresden-Rossendorf, Dresden, Germany.
ISBN Forschungszentrum Dresden-Rossendorf

## Abstract

The effects of a constant uniform magnetic field on a growing equiaxed crystal are investigated using a 3-dimensional enthalpy based numerical model. Two cases are considered: The first case looks at unconstrained growth, where the current density is generated through the thermo-electric effect and the current circulates between the tips and roots of the dendrite, the second represents an imposed potential difference across the domain. A jump in the electrical conductivity between the liquid and solid causes the current density to be non uniform. In both cases the resulting Lorentz force drives fluid flow in the liquid phase, this in turn causes advection of the thermal and solute field altering the free energy close to the interface and changing the morphology of the dendrite. In the first case the flow field is complex comprising of many circulations, the morphological changes are modelled using a 2D model with a quasi 3D approximation. The second case is comparable to classic problems involving a constant velocity boundary.

Item Type: | Book Section |
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Additional Information: | This keynote paper forms part of the Proceedings of the 6th International Conference on Electromagnetic Processing of Materials, EPM2009, held 19-23 October 2009, in Dresden, Germany. EPM2009 was jointly coordinated by the Institute of Safety Research of the Forschungszentrum Dresden-Rossendorf (FZD), Germany and SIMaP/EPM Grenoble, France. |

Uncontrolled Keywords: | thermoelectric MHD, equiaxed crystal morphology |

Subjects: | T Technology > TS Manufactures Q Science > QA Mathematics |

Pre-2014 Departments: | School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Fire Safety Engineering Group School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:04 |

URI: | http://gala.gre.ac.uk/id/eprint/1496 |

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