Effect of far-field flow on a columnar crystal in the convective undercooled melt

Abstract

The growth behavior of a columnar crystal in the convective undercooled melt affected by the far-field uniform flow is studied and the asymptotic solution for the interface evolution of the columnar crystal is derived by means of the asymptotic expansion method. The results obtained reveal that the far-field flow induces a significant change of the temperature around the columnar crystal and the convective flow caused by the far-field flow accelerates the growth velocity of the interface of the growing columnar crystal in the upstream direction and inhibits its growth velocity in the downstream direction. Our results are similar to the experimental data and numerical simulations.

The Effect of the Shear Flow on Columnar Crystal Growth in an Undercooled Melt

“…The morphological patterns of spherical particles growing from a supersaturated solution or from a supercooled melt have widely been studied [15][16][17][18]. As perhaps the simplest case of the spherical particles, we investigate the shear effect of the forced flow on the growth of columnar crystals in the supercooled melt [19,20].…”