Onset of buoyancy-driven instability in a pure melt solidified from above

被引：0
作者：
In Gook Hwang
Min Chan Kim
机构：
[1] University of Suwon,Department of Chemical and Biochemical Engineering
[2] Jeju National University,Department of Chemical Engineering
来源：
Korean Journal of Chemical Engineering | 2011年 / 28卷
关键词：
Buoyancy Driven Convection; Solidification; Stefan Problem; Similar Transform;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
When a pure liquid is solidified from above, convection may be induced in a thermally-unstable layer. The onset of buoyancy-driven convection during time-dependent solidification is investigated by using similarly transformed disturbance equations. The thermal disturbance distribution of the solid phase is approximated by WKB method, and the effects of various parameters on the stability condition of melt phase are analyzed theoretically. The present constant temperature cooling model gives more unstable results than the constant solidification velocity model of Smith [1].
引用
收藏
页码：697 / 702
页数：5
相关论文
共 29 条
  • [1] Smith M. K.(1988)undefined J. Fluid Mech. 188 547-undefined
  • [2] Brandeis G.(1989)undefined Nature 339 613-undefined
  • [3] Marsh B. D.(2001)undefined AIChE J. 47 1698-undefined
  • [4] Hwang I. G.(2004)undefined J. Cryst. Growth 267 714-undefined
  • [5] Hwang I.G.(1999)undefined Int. J. Numer. Methods Heat Fluid Flow 9 72-undefined
  • [6] Choi C. K.(1976)undefined J. Heat Transfer 98 88-undefined
  • [7] Zhang X.(1995)undefined Fluid Dynamic Research 15 25-undefined
  • [8] Nguyen T. H.(1986)undefined Trans. ASME J. Heat Transfer 108 654-undefined
  • [9] Sparrow E. M.(1988)undefined Int. J. Heat Mass Transfer 31 35-undefined
  • [10] Lee L.(1967)undefined Trans. ASME J. Heat Transfer 89 81-undefined
123