MATHEMATICAL SIMULATION OF THE PROCESS OF GROUP GROWTH OF CRYSTAL STRIPS FROM A MELT BY THE STEPANOV METHOD DEPENDING ON THE BEVEL ANGLE OF THE OPERATING SURFACE OF SHAPERS

被引:0
作者
Zhdanov, A. V. [1 ]
Rossolenko, S. N. [1 ]
Borodin, V. A. [1 ]
机构
[1] Russian Acad Sci, Inst Solid State Phys, Chernogolovka 142432, Moscow Region, Russia
关键词
D O I
10.1007/s10891-006-0209-8
中图分类号
O414.1 [热力学];
学科分类号
摘要
A mathematical model for determining the hydrodynamics of a melt and impurity concentration in the process of growing of a packet of sapphire strips by the Stepanov group method with beveled surfaces of shapers is considered. The description of the model contains: the Stefan problem, Navier-Stokes equation, diffusion equation, and Laplace capillary equation. The problems posed were solved numerically by the method of finite elements.
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页码:1091 / 1096
页数:6
相关论文
共 5 条
[1]  
Borodin A. V., 2001, INZH FIZ ZH, V74, P106
[2]  
Fletcher C. A. J., 1984, COMPUTATIONAL GALERK
[3]  
Mitchell A., 1981, FINITE ELEMENT METHO
[4]  
Siegel R., 1975, THERMAL RAD HEAT TRA
[5]  
Strang G., 1973, CONSTRUCTIVE ASPECTS, DOI 10.2307/2005716