New perturbation method for planar phase‐change processes with time‐dependent boundary conditions

摘要

A new perturbation method is developed for one‐dimensional and conduction‐controlled melting in a planar slab. The approach is suitable for boundary conditions with small amplitude but almost arbitrary time dependence. The results are uniformly valid in time. The method is applied to the case of time‐dependent heat flux boundary conditions and illustrated by the example of a steplike heat pulse.