Study of the initial transient in the one-dimensional analytical models of impurity segregation during melt crystallization in the presence of convection

The well-known one-dimensional Burton-Prim-Slichter and Ostrogorsky-Muller analytical models obtained for the stationary mass transfer regime describe in a simple form the dependence of the effective impurity segregation coefficient on the ratio of the crystal growth and convective flow rates. Solutions for the initial transient regime are found in both models. It is shown that the formulas obtained make it possible to determine both the crystal growth rate and the convective mixing intensity on the basis of the analysis of impurity segregation in crystal.