Abstract
Abstract The finite element method has been used to predict the variation in effective thermal conductivity, k eff , in evolving three-dimensional dendritic mushy zones. The model demonstrates the influence of a dendrite-like geometry and volume fraction of solid on k eff assuming that the conductivities of the solid and liquid phases remain constant and uniform as the structure evolves. The three-dimensional dendrite-like shapes have been generated by a cellular automaton-finite difference model. Numerical solutions are presented for both columnar and equiaxed dendritic zones.
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