Linear stability analysis on a spherical particle growing from a binary melt under the far-field flow

• Published in: Chinese physics B Vol. 21; no. 5; pp. 455 - 463
• Main Author: 曹斌 林鑫 王猛 黄卫东
• Format: Journal Article
• Language: English
• Published: 01.05.2012
• Subjects: Amplitudes; Crystals; Flow velocity; Melts; Melts (crystal growth); Perturbation methods; Stability; Stability analysis; Supercooling; 二进制; 晶体界面; 球形粒子; 生长界面; 线性稳定性分析; 融化; 调查结果; 远场
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/21/5/056401

The solutions of temperature and solute fields around a spherical crystal growing from a binary melt under the far-field flow are obtained.Based on the results,a linear stability analysis on the spherical interface growing from the binary melt under the far-field flow is performed.It is found that the constitutional supercooling effect ahead of the spherical crystal interface under the far-field flow is enhanced compared with that without the flow.The growth rate of the perturbation amplitude at the up-wind side of the spherical crystal interface is larger than that at the down-wind side.The critical stability radius of the crystal interface decreases with the increasing far-field flow velocity.Under the far-field flow,the whole spherical interface becomes more unstable compared with that without the flow.