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Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

Published online by Cambridge University Press:  03 June 2015

A. Rasheed  and
A. Belmiloudi
A. Rasheed*
Affiliation:
COMSATS-IIT, Quaid Avenue, Wah Cantt, Pakistan
A. Belmiloudi*
Affiliation:
IRMAR-INSA de Rennes, 20 avenue des Buttes de Coësmes, CS 70839, 35708 Rennes Cédex 7, France
*
Email:amerasheed@ciitwah.edu.pk
Corresponding author.Email:Aziz.Belmiloudi@insa-rennes.fr, Aziz.Belmiloudi@math.cnrs.fr
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Abstract

In this paper, we present a new model developed in order to analyze phenomena which arise in the solidification of binary mixtures using phase-field method, which incorporates the convection effects and the action of magnetic field. The model consists of flow, concentration, phase field and energy systems which are nonlinear evolutive and coupled systems. It represents the non-isothermal anisotropic solidification process of a binary mixture together with the motion in a melt with the applied magnetic field. To illustrate our model, numerical simulations of the influence of magnetic-field on the evolution of dendrites during the solidification of the binary mixture of Nickel-Copper (Ni-Cu) are developed. The results demonstrate that the dendritic growth under the action of magnetic-field can be simulated by using our model.

Keywords

76W0535K5535R3574A5074N2565N3080A22ModellingPhase-field methoddendritic solidificationbinary alloysconvectionmagnetic-fieldMagnetohydrodynamicsnumerical simulations
Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 2 , August 2013 , pp. 477 - 568
Copyright
Copyright © Global Science Press Limited 2013

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