Phase Change Problems With Temperature-Dependent Thermal Conductivity

Abstract

An exact solution is presented for the temperature distribution and phase change position of a semi-infinite body which is initially at a constant temperature different from the fusion temperature. The temperature of the free surface is instantaneously changed and held constant at a value that will cause either melting or solidification of the body. The thermal conductivity is assumed to vary linearly with temperature. The convection in the liquid phase due to density change is also considered.