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偏晶合金液-液相分离的格子玻尔兹曼方法模拟

周丰茂 孙东科 朱鸣芳

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偏晶合金液-液相分离的格子玻尔兹曼方法模拟

周丰茂, 孙东科, 朱鸣芳

Lattice Boltzmann modelling of liquid-liquid phase separation of monotectic alloys

Zhou Feng-Mao, Sun Dong-Ke, Zhu Ming-Fang
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  • 本文建立了一个模拟在弥散相液滴的扩散长大、碰撞凝并和Ostwald熟化等因素的作用下偏晶合金液-液相分离过程的二维格子玻尔兹曼方法 (lattice Boltzmann method, LBM) 模型.该模型结合了Shan-Chen的两相流模型和Qin的介观粒子相互作用势模型的优点,并在LB演化方程中引入了反映相变的源项.应用该模型模拟研究了偏晶合金液-液相分离过程中单液滴的生长、两液滴的合并和多液滴的生长规律.结果表明在两液相区中第二相单个液滴的生长是一个通过扩散从非平衡态到平衡态过渡的过程.两液滴合并
    A two-dimensional (2D) lattice Boltzmann method (LBM) model was developed to simulate liquid-liquid phase separation of monotectic alloys, which is controlled by the diffusive growth, the collisions and coagulations, and the Ostwald ripening of the minority liquid droplets. The present model combines the features of the multiphase flow model proposed by Shan-Chen and the mesoscopic interparticle potentials developed by Oin. In addition, a source term is introduced in the LB evolution equations to account for the phase transformation. The proposed LBM model was applied to simulate single droplet growth, coagulation of two droplets and multi-droplet growth during the liquid-liquid phase separation process of a monotectic alloy. The simulation shows that the single droplet growth in the two-liquid phase is controlled by diffusion and that the initial nonequilibrium composition approaches to equilibrium. The coagulation velocity of two droplets is influenced by surface tension, which is in accordance with the trend of the analytical prediction. It is found that the liquid-liquid phase separation process is obviously impacted by the collisions and coagulations and the Ostwald ripening of the droplets.
    • 基金项目: 国家自然科学基金(批准号:50671025),江苏省自然科学基金(批准号:BK2006105)和高等学校博士学科点专项科研基金(批准号:20070286021) 资助的课题.
    [1]

    [1]Li H L, Zhao J Z 2008 Appl. Phy. Lett. 92 241902

    [2]

    [2]Huang Q, Luo X H, Li Y Y 2005 Adv. Space Res. 36 86

    [3]

    [3]Ratke L, Dieffenbach S 1995 Mater. Sci. Eng. R 15 263

    [4]

    [4]Fan Z, Ji S, Zhang J 2001 Mater. Sci. Technol. 17 837

    [5]

    [5]Zhai W, Wang N, Wei B B 2007 Acta Phys. Sin. 56 2353 (in Chinese) [翟薇、 王楠、 魏柄波 2007 物理学报 56 2353]

    [6]

    [6]Zhao J Z, Hu Z Q, Ratke L 2004 Acta Metall. Sin. 40 27 (in Chinese) [赵九洲、 胡壮麒、 Ratke L 2004 金属学报 40 27]

    [7]

    [7]Cui H B, Guo J J, Su Y Q, et al 2007 Acta Metall. Sin. 43 907 (in Chinese) [崔红保、 郭景杰、 苏彦庆等 2007 金属学报 43 907]

    [8]

    [8]Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329

    [9]

    [9]Raabe D 2004 Modelling Simul. Mater. Sci. Eng. 12 R13

    [10]

    ]Wang H L, Chai Z H, G Z L 2009 Chin. J. Comput. Phys. 26 389 (in Chinese) [王华龙、 柴振华、 郭照立 2009 计算物理 26 389]

    [11]

    ]Chai Z H, Guo Z L, Shi B C 2007 J. Appl. Phys. 101 104913

    [12]

    ]Xu Y S, Li H B, Fang H P, Huang G X 2004 Acta Phys. Sin. 53 773 (in Chinese) [许友生、 李华兵、 方海平、 黄国翔 2004 物理学报 53 773]

    [13]

    ]Feng S D, Zhong L H, Gao S T, Dong P 2007 Acta Phys. Sin. 56 1238 (in Chinese) [冯士德、 钟霖浩、 高守亭、 Dong Ping 2007 物理学报 56 1238]

    [14]

    ]Sun D K, Zhu M F, Pan S Y, Raabe D 2009 Acta Mater. 57 1755

    [15]

    ]Sun D K, Zhu M F, Yang C R, Pan S Y, Dai T 2009 Acta Phys. Sin. 58 S285 (in Chinese) [孙东科、 朱鸣芳、 杨朝蓉、潘诗琰、 戴挺 2009 物理学报 58 S285]

    [16]

    ]Wagner A J, Giraud L, Scott C E 2000 Comput. Phys. Commun. 129 227

    [17]

    ]Yang Z L, Dinh T N, Nourgaliev R R, Sehgal B R 2001 Int. J. Therm. Sci. 204 143

    [18]

    ]Shan X , Chen H 1993 Phys. Rev. E 47 1815

    [19]

    ]Shan X, Chen H 1994 Phys. Rev. E 49 2941

    [20]

    ]Qin R S 2006 Phys. Rev. E 73 066703

    [21]

    ]Nishizawa T (written), Hao S M (translated) 2006 Thermodynamics of Microstructure (1st ed) (Beijing: Chemical Industry Press) p106 (in Chinese) [西泽泰二 著,郝士明 译 2006 微观组织热力学(第一版) (北京:化学工业出版社) 第106页]

    [22]

    ]Eggers J, Lister J R, Stone H A 1999 J. Fluid. Mech. 401 293

  • [1]

    [1]Li H L, Zhao J Z 2008 Appl. Phy. Lett. 92 241902

    [2]

    [2]Huang Q, Luo X H, Li Y Y 2005 Adv. Space Res. 36 86

    [3]

    [3]Ratke L, Dieffenbach S 1995 Mater. Sci. Eng. R 15 263

    [4]

    [4]Fan Z, Ji S, Zhang J 2001 Mater. Sci. Technol. 17 837

    [5]

    [5]Zhai W, Wang N, Wei B B 2007 Acta Phys. Sin. 56 2353 (in Chinese) [翟薇、 王楠、 魏柄波 2007 物理学报 56 2353]

    [6]

    [6]Zhao J Z, Hu Z Q, Ratke L 2004 Acta Metall. Sin. 40 27 (in Chinese) [赵九洲、 胡壮麒、 Ratke L 2004 金属学报 40 27]

    [7]

    [7]Cui H B, Guo J J, Su Y Q, et al 2007 Acta Metall. Sin. 43 907 (in Chinese) [崔红保、 郭景杰、 苏彦庆等 2007 金属学报 43 907]

    [8]

    [8]Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329

    [9]

    [9]Raabe D 2004 Modelling Simul. Mater. Sci. Eng. 12 R13

    [10]

    ]Wang H L, Chai Z H, G Z L 2009 Chin. J. Comput. Phys. 26 389 (in Chinese) [王华龙、 柴振华、 郭照立 2009 计算物理 26 389]

    [11]

    ]Chai Z H, Guo Z L, Shi B C 2007 J. Appl. Phys. 101 104913

    [12]

    ]Xu Y S, Li H B, Fang H P, Huang G X 2004 Acta Phys. Sin. 53 773 (in Chinese) [许友生、 李华兵、 方海平、 黄国翔 2004 物理学报 53 773]

    [13]

    ]Feng S D, Zhong L H, Gao S T, Dong P 2007 Acta Phys. Sin. 56 1238 (in Chinese) [冯士德、 钟霖浩、 高守亭、 Dong Ping 2007 物理学报 56 1238]

    [14]

    ]Sun D K, Zhu M F, Pan S Y, Raabe D 2009 Acta Mater. 57 1755

    [15]

    ]Sun D K, Zhu M F, Yang C R, Pan S Y, Dai T 2009 Acta Phys. Sin. 58 S285 (in Chinese) [孙东科、 朱鸣芳、 杨朝蓉、潘诗琰、 戴挺 2009 物理学报 58 S285]

    [16]

    ]Wagner A J, Giraud L, Scott C E 2000 Comput. Phys. Commun. 129 227

    [17]

    ]Yang Z L, Dinh T N, Nourgaliev R R, Sehgal B R 2001 Int. J. Therm. Sci. 204 143

    [18]

    ]Shan X , Chen H 1993 Phys. Rev. E 47 1815

    [19]

    ]Shan X, Chen H 1994 Phys. Rev. E 49 2941

    [20]

    ]Qin R S 2006 Phys. Rev. E 73 066703

    [21]

    ]Nishizawa T (written), Hao S M (translated) 2006 Thermodynamics of Microstructure (1st ed) (Beijing: Chemical Industry Press) p106 (in Chinese) [西泽泰二 著,郝士明 译 2006 微观组织热力学(第一版) (北京:化学工业出版社) 第106页]

    [22]

    ]Eggers J, Lister J R, Stone H A 1999 J. Fluid. Mech. 401 293

计量
  • 文章访问数:  8439
  • PDF下载量:  770
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-07-29
  • 修回日期:  2009-09-07
  • 刊出日期:  2010-05-15

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