Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2007.903.912MechighelFaridMahfoud Kadja6200776Based on continuum model, a mathematical model for convection flow during directional solidification of steel, Fe-0.42wt%C, in an applied magnetic field is presented. The model includes mass, momentum, energy, species and electrical potential conservation equations. The geometry under study is rectangular. The permeability in the mushy zone is treated by means of the Blake-Kozeny equation. The system of equation has been discretized by means of Finite volume method. For solution of discretized equations SIMPLER Algorithm is used. The results show the strong effect of the magnetic field on the solidification process.]]>Anwar Hossain, M., M.Z. Hafizb and D.A.S. Rees,2005Beckermann, C.,2002Bennon, W.D. and F.P. Incropera,1987Liu, W.,2004Ma, C.W., H.F. Shen, T.Y. Huang and B.C. Liu,2004Mechighel, F. and M. Kadja,2006Mittal, V., M.F. Baig and B.K. Khan,2005Patankar, S.V., 1980Sampath, R. and N. Zabaras,2001Sampath, R.,2001Schneider, M.C. and C. Beckermann,1995Schneider, M.C. and C. Beckermann,1995Singh, A.K., R Pardeshi and B. Basu,2001Singh, A.K. and B. Basu,2001