Influences of Marangoni Effect on Solidification of Curved Interfaces With Constant Curvature
-
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.
-
关键词:
- 凝固 /
- 相场模拟 /
- Marangoni效应 /
- 渐近展开 /
- 晶体生长
Abstract: 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 asymptotic method.-
Key words:
- solidification /
- phase field simulation /
- Marangoni effect /
- asymptotic method /
- crystal growth
-
[1] Davis 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. [3] Huang 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. doi: 10.1016/0001-6160(81)90115-2 [4] Bouissou P,Pelce P.Effect of a forced flow on dendritic growth[J].Physical Review A,1989,40(11):6673-6680. doi: 10.1103/PhysRevA.40.6673 [5] Tong X, Beckermann C,Karma A. Velocity and shape selection of dendritic crystals in a forced flow[J].Physical Review E,2000,61(1):R49-R52. [6] Lan C W, Hsu C M, Liu C C.Efficient adaptive phase field simulation of dendritic growth in a forced flow at low supercooling[J].Journal of Crystal Growth,2002,241:379-386. doi: 10.1016/S0022-0248(02)01287-3 [7] Lee Y W, Ananth R, Gill W N.Selection of a length scale in unconstrained dendritic growth with convection in the melt[J].Journal of Crystal Growth,1993,132(1/2):226-230. doi: 10.1016/0022-0248(93)90266-Y [8] Ananth R, Gill W N.Dendritic growth with thermal convection[J].Journal of Crystal Growth,1988,91(4): 587-598. doi: 10.1016/0022-0248(88)90126-1 [9] Tonhardt R, Amberg G.Dendritic growth of randomly oriented nuclei in a shear flow[J].Journal of Crystal Growth,2000,213(1/2):161-187. doi: 10.1016/S0022-0248(00)00333-X [10] Xu J J.Dynamical Theory of Dendritic Growth in Convective Flow[M].Boston/Dordrecht/London: Kluwer Academic Publishers, 2004. [11] 陈明文,王自东,徐鉴君.球状晶体的演化和形态稳定性[J].中国科学E辑,2007,37(5):644-660. [12] 沙勇,成弘,余国琮.质量、热量传递过程中的Marangoni效应[J].化学进展,2003,15(1):9-17. [13] Karma A, Rappel W-J.Numerical simulation of three-dimensional dendritic growth[J].Physical Review Letters,1996,77(19):4050-4053. doi: 10.1103/PhysRevLett.77.4050 [14] Karma A, Rappel W-J.Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics[J].Physical Review E,1996,53(4),:R3017-R3020. [15] Galenko P K, Funke O,Wang J,et al.Kinetics of dendrities growth under the influence of convective flow in solidification of undercooling droplets[J].Mater Sci Eng A,2004,375-377:488-492. doi: 10.1016/j.msea.2003.10.021
点击查看大图
计量
- 文章访问数: 2688
- HTML全文浏览量: 92
- PDF下载量: 547
- 被引次数: 0