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The boundary-layer treatment of Burton, Prim, and Slichter for prediction of segregation in crystal growth from the melt is extended to arbitrary binary solid/liquid equilibrium phase behavior. The validity of the quasi steady-state approach is examined by derivation of the initial transient. In many cases this transient is appreciable and must be considered for accurate predictions. Eigenvalues for calculation of the transient are given, along with a sample calculation.
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William R. Wilcox (1964) studied this question.
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