Solidification, conventional Equilibrium

The second limiting case approximates conventional metallurgical casting processes in which the cooling rate is on the order of 10-3 to 10° K/s. As a result, the solidification rate is several orders of magnitude too fast to maintain equilibrium. The most widely used classical treatment of nonequilibrium solidification is by Erich Scheil (Scheil, 1942), who was at the Max-Planck-Institute for Metals Research in Stuttgart. The model assumes negligible solute diffusion in the solid phase, complete diffusion in the liquid phase, and equilibrium at the solid-liquid interface. In this case, Eq. 4.16 can be rewritten as... 

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