FINITE-ELEMENT SIMULATION OF SOLIDIFICATION WITH MOMENTUM, HEAT AND SPECIES TRANSPORT

It is well known that fluid flow phenomena in the solidifying zone pla y a major role in forming macrosegregation and microstructure. In orde r to understand the interaction of fluid flow in a solidifying medium, unsteady state natural convection both in the liquid pool and in the interdendritic region and solute redistribution due to this natural co nvection together with changes in the morphology due to fluid flow suc h as shearing off of the dendrites should be solved simultaneously. Re cently, some progress has been made in solving solidification problems considering fluid flow in solidifying ahoy systems. In order to handl e fluid flow the interdendritic flow was treated by assuming a Darcy's flow introducing permeability as a function of liquid volume fraction . In this paper, a two-dimensional finite element program was develope d for solving the temperature, velocity, and composition distributions simultaneously using the temperature recovery method. Several numeric al examples demonstrate the capability and usage of the developed fini te element program.