Condiciones Suficientes para la Existencia de Cambio de Fase en un Problema de Conducción del Calor con Condición Convectiva

Abstract

We consider a one-dimensional heat conduction problem in a slab of length L, with initial temperature greater than the phase-change temperature. There is a heat flux condition on
one of the edges and a convective condition on the other. Through a finite difference method we obtain a discrete problem and we show that the solution of this discrete problem converges to the solution of the discrete problem with temperature condition, when the heat transfer coefficient tends to infmity. We also obtain sufficient conditions in order to have a phase change in the discrete problem.