Transport phenomena in saturated porous media undergoing liquid-solid phase change (Q2774048)

The state-of-the-art of models for phenomena occuring in solidification processes in porous media is given. Continuum models are derived starting with pore-scale models and using the multiple scales method. The microscopic models are obtained for casting processes, for the formation of igneous rocks in geological systems, and for solidification of a molten pool. This last model can be used to simulate some accidents in nuclear engineering. Some characteristic dimensionless numbers are pointed out, useful to describe the species transport. Three solidification processes are decribed in terms of functions of the above dimensionless numbers.