On the influence of the deformation of the forming solid in the solidification of a semi-infinite water layer of fluid

We use a framework that takes into account the effects of deformation of bo th the solid and fluid in the solidification process, to study the solidifi cation of a semi-infinite layer of fluid. It is shown that the time require d for solidification, and the final location of the interface are significa ntly different form the predictions of the classical Stefan problem. A deta iled numerical solution of the initial-boundary value problem is provided f or a variety of values for non-dimensional parameters relevant for freezing water.