Abstract
The aim in this paper is to develop further and extend the application of the mathematical descriptions based on the previously developed local solute redistribution equation’ for the alloy-solidification process. To this end, a modified local solute redistribution equation for unidirectional solidification is presented and, using channel perturbation analysis based on this equation, a condition is developed for unstable flow and possible channel segregation which relates the interdendritic fluid velocity to the isotherm velocity. On assuming this condition to hold, a physical description related to the modified local solute redistribution equation is proposed, and a possible mechanism is presented for local remelting and the formation of channel segregation.
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