The asymptotic solution of particle growth in the convective undercooled melt driven by a biaxial straining flow

作     者：Ming-Wen Chen Xiu-Min Liu Zhen-Chao Yang Zi-Dong Wang 

作者机构：University of Science and Technology Beijing 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2015年第31卷第1期

页      面：73-78页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by Overseas Distinguished Scholar Program by the Ministry of Chinese Education(MS2010BJKJ005) the National Natural Science Foundation of China(10972030) 

主　　题：Streaming flow. Interfaces Nucleation. Crystalgrowth model 

摘      要：A dynamical system of particle growth in the con vective undercooled melt driven by a biaxial straining flow is modeled. A uniformly valid asymptotic solution for the in terface evolution in particle growth is obtained by means of the multiple variable expansion method. The analytical so lution as a function of both azimuth angle and polar angle shows that the interface shape of particle growth in the bi axial straining flow is significantly deformed by the biaxial straining flow. The biaxial straining flow results in higher lo cal growth rate near the surface where the flow comes in and leads to lower local growth rate near the surface where the flow goes out. Due to the difference in local growth rate, an initially spherical particle will evolve into a prolate barrel like shape in the biaxial straining flow.