Interface evolution of a particle in a supersaturated solution affected by a far-field uniform flow

Abstract

The effect of far-field uniform flow on the morphological evolution of a spherical particle in a supersaturated solution affected by a far-field uniform flow is studied by using the matched asymptotic expansion method. The analytical solution for the interface shape, concentration field, and interface velocity of the particle growth shows that the convection induced by the far-field uniform flow facilitates the growth of the spherical particle, the upstream flow imposed on the particle enhances the growth velocity of the interface when the flow comes in, the downstream flow lowers the growth velocity of the surface when the flow goes out, and the interface morphology evolves into a peach-like shape.

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

“…However, since the nonlinear system of the crystal growth with flow has no exact analytical solutions available generally, theoretical studies on the crystal growth with flow are relatively few. Chen et al [20,21] studied the effect of the far-field flow on the interface morphology of the spherical crystal. In this paper, the effect of the convective flow caused by the far-field flow on the interface evolution of the columnar crystal is discussed by using the asymptotic expansion method, the results obtained show the interface morphology of the columnar crystal affected by the far-field flow.…”