Planar solidification of a finite slab: effects of the pressure dependence of the freezing point

Abstract

Planar solidification in a slab of finite thickness is numerically simulated. The solid density is assumed to be lower than the liquid density and the phase change material expands while freezing (e.g. water). The effects of an opposing elastic force, due to the interaction with the container, are analysed. The increasing pressure determines a continuous lowering of the melting temperature; as a result the interface motion and the temperature field are strongly affected. The time square-root dependence of the melting front position fails down and is replaced by an asymptotic behaviour.