DENDRITIC GROWTH FROM A MELT IN AN EXTERNAL FLOW - UNIFORMLY VALID ASYMPTOTIC SOLUTION FOR THE STEADY-STATE

被引：17
作者：
XU, JJ
机构：
[1] Department of Mathematics and Statistics., McGill University, Montreal H3A 2K6
来源：
JOURNAL OF FLUID MECHANICS | 1994年 / 263卷
关键词：
D O I：
10.1017/S002211209400409X
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This work is part of an investigation dealing with the effect of external flow in a melt on dendritic growth. In this paper, we will consider steady growth with zero surface tension. Assuming that the Prandtl number Pr is large, we are able to obtain a uniformly valid asymptotic solution for the steady state in the whole growth region.
引用
收藏
页码：227 / 243
页数：17
相关论文
共 17 条
  • [1] Abramovitz M., 1964, HDB MATH FUNCTIONS
  • [2] DENDRITIC GROWTH OF AN ELLIPTICAL PARABOLOID WITH FORCED-CONVECTION IN THE MELT
    ANANTH, R
    GILL, WN
    [J]. JOURNAL OF FLUID MECHANICS, 1989, 208 : 575 - 593
  • [3] SELF-CONSISTENT THEORY OF DENDRITIC GROWTH WITH CONVECTION
    ANANTH, R
    GILL, WN
    [J]. JOURNAL OF CRYSTAL GROWTH, 1991, 108 (1-2) : 173 - 189
  • [4] AN EXACT SOLUTION FOR THE SHAPE OF A CRYSTAL GROWING IN A FORCED FLOW
    BENAMAR, M
    BOUISSOU, P
    PELCE, P
    [J]. JOURNAL OF CRYSTAL GROWTH, 1988, 92 (1-2) : 97 - 100
  • [5] EFFECT OF A FORCED FLOW ON DENDRITIC GROWTH
    BOUISSOU, P
    PELCE, P
    [J]. PHYSICAL REVIEW A, 1989, 40 (11): : 6673 - 6680
  • [6] CANRIGHT D, 1990, 8982 NW U APPL MATH
  • [7] DASH SK, 1984, INT J HEAT MASS TRAN, V27, P1345, DOI 10.1016/0017-9310(84)90062-0
  • [8] FUNDAMENTALS OF DENDRITIC SOLIDIFICATION .1. STEADY-STATE TIP GROWTH
    HUANG, SC
    GLICKSMAN, ME
    [J]. ACTA METALLURGICA, 1981, 29 (05): : 701 - 715
  • [9] Ivantsov G. P., 1947, DOKL AKAD NAUK SSSR+, V58, P567
  • [10] KEVORKIAN J, 1981, APPLIED MATH SCI, V34
12