Numerical study of the vertical solidification process

AbstractA parametric study of chemical segregation during the solidification of concentrated binary alloy under uniform magnetic field effect was performed. The purpose of this work is to present and discuss a numerical solution of phase change problem for a vertical Bridgman system with varying temperature gradient at the boundary. During growth, three regions appear; liquid, mushy and solid zones. The mushy zone is assimilated to porous medium. The transport equations for continuity, momentum, energy and spices transfer are solved. Numerical results for flow in the bath, solute distribution and radial segregation have been obtained for different values of the governing parameters. The effects of various physical parameters like Rayleigh number and Hartmann number on dimensionless heat and mass transfer during phase change under magnetic field effect characteristics are discussed in detail. In particular, it has been found that increase in Rayleigh number increase convection in the melt and complicates the solute distribution in the mushy zone, while increase in the strength of the magnetic field leads to decrease the radial segregation and stratified the solute distribution during growth