Dependence of the structure period on the interface velocity upon eutectic solidification

On Linear Analysis of the Movement of the Interface under Directed Crystallization

“…These dependences are known to be well approximated by rate power −1/2. This result was used to obtain analytical dependences of the period of morphological interface instability on the interface velocity for different growth mechanisms [12] [13]. The dependences obtained coincided with the experimental dependences of the eutectic structure period on the interface velocity [14].…”

“…The expression obtained is distinguished from the time expression in [13] by the dependence of time on the liquidus slope and the diffusion coefficient. In the limit 0 V k = we obtain the expression of [13].…”

“…Introduce dimensionless parameters into Equations (2)-(4), (13), (14). To this end, multiply heat conduction Equations (13) by factor ( ) …”

“…In the limit 0 V k = we obtain the expression of [13]. Condition (58) is essential for obtaining the desired solution.…”

“…However, comparison of the calculated and experimental data reveals that the solutions obtained do not take into account all the conditions of phase transition that can have qualitative effects on the processes involved in the problems in question. We have recently published several papers in which the setting of the directed crystallization problem includes nonequilibrium processes affecting heat-and-mass transfer during phase transitions, [8] [9] [11]- [13] [17]. The quantitative agreement between the calculated data and the experimental dependences of the eutectic structure period on the interface velocity indicate that the problem setting in the above papers takes into consideration the conditions which can qualitatively affect the heat-and-mass transfer processes during phase transitions.…”