Rod eutectic growth in bulk undercooled melts

Abstract

This article proposes an analytical model to understand the rod growth of eutectic in the bulk undercooled melt. Based on the previous derivations of the lamellar eutectic growth models, relaxing the assumptions of small Péclet numbers, the model is derived by considering melt kinetic and thermal undercoolings. The intent of this model is to predict the transitions in eutectic pattern for conditions of the low and high growth velocities. In addition to investigation of the transition between lamellar and rod eutectic patterns, mathematical simplifications of solving Bessel function are presented as well, which is the most important priority to model calculation.

Global Instability of Rod Eutectic Growth in Directional Solidification

“…Generally, regular eutectic mainly includes a lamellar eutectic and a rod eutectic. Most of the theories and experiments on eutectic growth are focused on the two-dimensional lamellar eutectic growth [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], while there are few reports on the three-dimensional rod eutectic [20][21][22][23][24][25][26][27][28][29][30][31][32][33]. For the growth of the three-dimensional rod eutectic, three-dimensional dimensions such as rod cross-sectional morphology (round, oval, peanut, etc.)…”

Off-Eutectic Growth Model for Solidifying Alloy from an Undercooled State

“…Xu and Galenko [24,25] considered the transition to diffusionless growth in eutectic binary alloys. They developed a model to analyze the atomic diffusion ahead of lamellar eutectic couples growing into a supercooled liquid, as well as rod eutectic coupled growth [26,27].…”