NUMERICAL ANALYSIS OF BINARY SOLID-LIQUID PHASE CHANGE USING A CONTINUUM MODEL

Abstract

A widely accepted numerical finite-difference scheme for the solution of coupled elliptic partial differential equations has been extended to accommodate binary solid-liquid phase change. Through the adoption of a recently developed continuum model, the solution of the multiconstituent, multiphase problem has been reduced to a level of computational requirements generally associated with strongly coupled single-phase problems. Example calculations have been performed to illustrate use of the model for static phase change systems, as well as to illustrate the significance of bulk and mushy region fluid motion for macroscopic phase change behavior.