Abstract
Solute distribution in the liquid phase with cellular or dendritic solidification was modeled assuming 1) solute transport in the liquid is governed by diffusion only, 2) local equilibrium at the solid/liquid interface, 3)liquid concentration at the tip of a dendrite through Ivantsov's solution and 4)neglecting diffusion in the solid. The governing equation was integrated with x from X(the solid/liquid interface) to λ(the center of two dendrites), the initial condition was substituted into it and the basic equation was gained as shown below: Assuming C L = a 0 + a 1 ( x – X ) + a 2 ( x – X ) 2 , a 0 , a 1 and a 2 were gained as a function of the fraction of liquid. Using these results, solute distribution profiles were drawn for some cases by numerical analysis.
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