Prediction of Dendrite Morphology in Fe-base-Ternary Alloys and Evaluation of Permeability

Abstract

Evolution of dendrite morphology in Fe-base ternary alloys (Fe-C-X : X=Cr, Mn, Mo, P, Si, V, W) was simulated by using the phasefield method with linking to the Thermo-Calc software. The complexity of the dendrite morphology of the alloys was evaluated by using fractal dimension and dimensionless perimeter. The values of evaluated fractal dimension and dimensionless perimeter lined as P>V>Si>Cr>Mo>W>Mn and this result demonstrates that the both parameters of the fractal dimension and the dimensionless perimeter are effective to evaluate the complexity of dendrites. Permeability of simulated dendrite arrays was estimated by using the fractal dimension and the dimensionless perimeter as the tortuosity factor of interdendritic liquid channels. Obtained permeability corresponded to reported values of the permeability when the dimensionless perimeter was used as the tortuosity factor.