Modeling and measurements of two-phase Pb-Sn alloy solidification in an external magnetic field

The aim of this work is to predict the influence of the external magnetic field on the solidification process of two-component material. Based on the continuum model of two-phase flow a mathematical model for the directional solidification of a binary alloy in an applied magnetic field is presented. The model includes mass, momentum, energy and species conservation equations and additional relationships describing the temperature-solute coupling. The geometry under study is a cylindrical mold with adiabatic walls and cooled bottom. The macroscale transport in the solidification of alloys is governed by the progress of the two-phase mushy zone which is treated by means of a porous medium approach.
The results of calculation are compared with experimental data. The experiments as well as the calculations showed that by rotation of the liquid phase caused by the Lorentz force, the solidifcation front has a non-linear surface.