Numerical solution of moving boundary problem in a finite domain

Abstract

The temperature distribution in two regions and the location of moving interface during freezing in a finite domain is studied numerically. The differential equations governing the process of heat transfer in two regions are converted to initial value problem of vector matrix form. The solution of this initial value problem is utilized iteratively in the interface heat flux equation to determine interface location as well as the temperature distribution in two regions. The whole analysis is presented in a nondimensional form and the results thus obtained are discussed in detail. © Springer-Verlag 1998.