Marangoni效应对等曲率弯曲界面凝固过程的影响

胡国辉; 周哲玮

Marangoni效应对等曲率弯曲界面凝固过程的影响

上海大学上海市应用数学和力学研究所;上海市能源和环境工程中的关键力学问题重点实验室,上海 200072

基金项目: 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)

详细信息

作者简介:
胡国辉(1969- ),男,江西南昌人,教授,博士,博导(Tel:+86-21-56332557;E-mail:hu.guohui@gmail.com);周哲玮,男,教授,博士,博导(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382;E-mail:zhwzhou@staff.shu.edu.cn).

中图分类号: TG111.4
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出版历程
- 收稿日期: 2007-12-12
- 修回日期: 2007-12-29
- 刊出日期: 2008-02-15

Influences of Marangoni Effect on Solidification of Curved Interfaces With Constant Curvature

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University;Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai 200072, P. R. China

摘要

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．
- 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.
- solidification /
- phase field simulation /
- Marangoni effect /
- asymptotic method /
- crystal growth

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参考文献(15)

[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

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Marangoni效应对等曲率弯曲界面凝固过程的影响

作者简介:
胡国辉(1969- ),男,江西南昌人,教授,博士,博导(Tel:+86-21-56332557;E-mail:hu.guohui@gmail.com);周哲玮,男,教授,博士,博导(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382;E-mail:zhwzhou@staff.shu.edu.cn).

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Influences of Marangoni Effect on Solidification of Curved Interfaces With Constant Curvature

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Marangoni效应对等曲率弯曲界面凝固过程的影响

作者简介: 胡国辉(1969- ),男,江西南昌人,教授,博士,博导(Tel:+86-21-56332557;E-mail:hu.guohui@gmail.com);周哲玮,男,教授,博士,博导(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382;E-mail:zhwzhou@staff.shu.edu.cn).

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出版历程

Influences of Marangoni Effect on Solidification of Curved Interfaces With Constant Curvature

计量

出版历程

目录

作者简介:
胡国辉(1969- ),男,江西南昌人,教授,博士,博导(Tel:+86-21-56332557;E-mail:hu.guohui@gmail.com);周哲玮,男,教授,博士,博导(联系人.Tel:+86-21-66134661;Fax:+86-21-66133382;E-mail:zhwzhou@staff.shu.edu.cn).