期刊文献+

Marangoni效应对等曲率弯曲界面凝固过程的影响 被引量:2

Influences of Marangoni Effect on Solidification of Curved Interfaces With Constant Curvature
下载PDF
导出
摘要 用渐近方法和相场数值模拟分别研究了球状晶体和柱状晶体凝固过程中,固液界面表面张力随温度的变化对界面运动的影响.结果表明Marangoni效应将增大临界晶核半径,减缓界面运动速度.在静止熔体中,枝晶尖端生长速度随Marangoni数线性下降.渐近展开和相场模拟得到的结果定性是一致的. The asymptotic method and phase field simulation were applied to study the influences of variation of the surface tension with temperature on the movements of solid-liquid interfaces in the solidification process of spherical and cylindrical nuclei respectively. Results indicate that Marangoni effect will increase the critical nucleation radius, slow up the movement of interface. The tip speed of dendrite decreases linearly with Marangoni number for melt without convection. The results of phase field simulation are qualitatively in accordance with that of asynptotic method.
出处 《应用数学和力学》 EI CSCD 北大核心 2008年第2期133-139,共7页 Applied Mathematics and Mechanics
基金 上海市科委国际合作计划资助项目(055207081) 上海市重点学科建设项目(Y0103)
关键词 凝固 相场模拟 MARANGONI效应 渐近展开 晶体生长 solidification phase field simulation Marangoni effect asymptotic method crystal growth
  • 相关文献

参考文献15

  • 1Davis S H. Theory of Solidification [ M ]. Cambridge, the United Kingdom: Cambridge University Press, 2001.
  • 2徐鉴君.凝固过程动力学和交界面稳定性导论[M].北京:科学出版社,2006.
  • 3Huang S C, Glicksman M E. Fundamentals of dendritic solidification-( i ) steady-state tip growth; ( ii ) Development of sidebranch structure[ J] .Acta Metall, 1981,29(5) :701-734.
  • 4Bouissou P, Pelce P. Effect of a forced flow on dendritic growth[ J]. Physical Review A, 1989,40 ( 11 ) : 6673-6680.
  • 5Tong X, Beckermann C, Karma A. Velocity and shape selection of dendritic crystals in a forced flow [J]. Physical feview E,2000,61 (1): R49-R52.
  • 6Lan C W, Hsu C M, Liu C C. Efficient adaptive phase field simulation of dendritic growth in a forced flow at low supercoolingl Jl. Journal of Crystal Growth,2002,241:379-386.
  • 7Lee Y W, Ananth R, Gill W N. Selection of a length scale in tmconstrained dendritic growth with convection in the melt [ J ]. Journal of Crystal Growth, 1993,132 ( 1/2 ) : 226- 230.
  • 8Ananth R, Gill W N. Dendritic growth with thermal convection[ J ]. Journal of Crystal Growth, 1988, 91(4) : 587-598.
  • 9Tonhardt R, Amberg G. Dendritic growth of randomly oriented nuclei in a shear flow[ J]. Journal of Crystal Crowth ,2000,213(1/2) : 161-187.
  • 10Xu J J. Dynamical Theory of Dendritic Growth in Convective Flow [M]. Boston/Dordrecht/London: Kluwer Academic Publishers, 2004.

二级参考文献21

  • 1文东升 王补宣 彭晓峰.清华大学学报(自然科学版)(J. Tsinghua Univ.)(Sci. Tech.),2001,41:128-130.
  • 2唐泽眉 李家春.力学学报(Acta Mechanica Sinica),23:149-156.
  • 3雷永平 史耀武 村川英一.西安交通大学学报(J. Xi`an Jiaotong Univ.),1999,33:70-74.
  • 4Huang S C, Glicksman M E. Fundamentals of dendritic solidification -(i). steady-state tip growth; (ii). Development of sidebranch structure. Acta Metal, 1981, 29:701-734
  • 5Buchholz A, Engler S. The influence of forced convection on solidification interfaces. Computat Mater Sci, 1996, 7: 221-227
  • 6Takatani H, Gandin Ch -A, Rappaz M. EBSD characterization and modeling of columnar dendritic grains growing in the presence of fluid flow. Acta Mater, 2000, 48:675-688
  • 7Benamar M, Bouissou Ph, Pelce P. An exact solution for the shape of a crystal growing in a forced flow. J Crystal Growth, 1988, 92:97-100
  • 8Bouissou P, Perrin B, Tabeling E Influence of an external flow on dendritic crystal growth. Phys Rev A, 1989, 40:509-512
  • 9Bouissou Ph, Pelce E Effect of a forced flow on dendritic growth. Phys Rev A, 1989, 40:6673-6680
  • 10Brattkus K, Davis S H. Flow-induced morphological instability: The rotating disc. J Crystal Growth, 1988, 87:385-396

共引文献26

同被引文献11

引证文献2

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部