TWO-PHASE MODEL FOR BINARY SOLID- LIQUID PHASE CHANGE, PART II: SOME ILLUSTRATIVE EXAMPLES

The purpose of this paper is to present two examples illustrating the application of the two-phase model outlined in part 1. The first problem deals with transient one-dimensional freezing in a vertical cavity. The temperature gradient is along the direction of the gravity vector, and the solid phase can move (float up or settle down) due to the difference in density between the phases. The effect of this motion on the macrosegregation is investigated. The second example deals with a transient two-dimensional problem of freezing in a square cavity. In this case the motion is buoyancy induced (natural convection) and caused by the dependence of density on temperature. Two cases are solved, one in which the solid phase is at rest and the second in which the solid phase is mobile. The effect of the solid motion and the macrosegregation is examined.