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Finite difference equations are derived based on the direct finite difference method for solving fluid flow during solidification of alloys. In the analysis the darcy and laminar flows are assumed in the solid-liquid coexisting and liquid regions, respectively. Numerical examples revealed some features and effects of the fluid flow during solidification of steel ingots. These finite difference equations are applicable to solidification problems of complicated shape and boundary conditions.

Flow analysis during solidification by the direct finite difference method.