MODELLING OF THE PERMEABILITY FOR COLUMNAR DENDRITE STRUCTURES DURING SOLIDIFICATION OF MUSHY ALLOYS

A numerical model has been developed for the determination of liquid flow permeability through columnar dendrite during growth. The model is inclusive two stages, first numerical evolution of the dendrite shape during growth, and second numerical determination of the interdendritic liquid permeability. Simulation results shown which solute concentration by evolution of dendrite shape could result to reduction of the permeability during solidification time. Comparison between the experimental data from other authors and the present numerical model data, for the low and high solid fractions, has shown a good agreement rather than current numerical models. Therefore present permeability model, in this investigation, could be used for all of the micro solidification codes by coupling on the segregation and the Fick’s equations in domain of the inter-dendritic liquid for mushy alloys.