A mean-field free energy lattice Boltzmann model for multicomponent fluids

被引：13
作者：
Zhang, J. [1 ]
Kwok, D. Y.
机构：
[1] Laurentian Univ, Sch English, Sudbury, ON P3E 2C6, Canada
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2009年 / 171卷
关键词：
CONTACT-ANGLE; SURFACE-TENSION; EQUATION; DYNAMICS; LINE;
D O I：
10.1140/epjst/e2009-01010-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a mean-field free energy approach to simulate multicomponent fluids. The model has been validated in terms of the Laplace equation of capillarity and dispersion relation of interfacial waves. Simulations of a ternary system shows that the total free energy decreases and reaches a minimum after phase separation has occurred. Different drop shapes can be obtained by adjusting the interaction strengths between individual components. These results demonstrate that both macroscopic free energy and microscopic fluid-fluid interactions have been well described in our multicomponent model.
引用
收藏
页码：45 / 53
页数：9
相关论文
共 23 条
  • [1] [Anonymous], THESIS U MINNESOTA
  • [2] [Anonymous], 2004, Commun. Math. Sci
  • [3] THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS
    BENZI, R
    SUCCI, S
    VERGASSOLA, M
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03): : 145 - 197
  • [4] Electrokinetic slip flow of microfluidics in terms of streaming potential by a lattice Boltzmann method: A bottom-up approach
    Fu, Xin
    Li, Baoming
    Zhang, Junfeng
    Tian, Fuzhi
    Kwok, Daniel Y.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (04): : 693 - 700
  • [5] LATTICE BOLTZMANN MODEL OF IMMISCIBLE FLUIDS
    GUNSTENSEN, AK
    ROTHMAN, DH
    ZALESKI, S
    ZANETTI, G
    [J]. PHYSICAL REVIEW A, 1991, 43 (08): : 4320 - 4327
  • [6] A lattice Boltzmann model of ternary fluid mixtures
    Lamura, A
    Gonnella, G
    Yeomans, JM
    [J]. EUROPHYSICS LETTERS, 1999, 45 (03): : 314 - 320
  • [7] Symmetric free-energy-based multicomponent lattice Boltzmann method
    Li, Qun
    Wagner, A. J.
    [J]. PHYSICAL REVIEW E, 2007, 76 (03):
  • [8] Multiscale modeling of fluid transport in heterogeneous materials using discrete Boltzmann methods
    N. S. Martys
    J. G. Hagedorn
    [J]. Materials and Structures, 2002, 35 (10) : 650 - 658
  • [9] Porter D.A., 1992, Phase Transformations in Metals and Alloys, DOI [10.1007/978-1-4899-3051-4, DOI 10.1007/978-1-4899-3051-4]
  • [10] IMMISCIBLE CELLULAR-AUTOMATON FLUIDS
    ROTHMAN, DH
    KELLER, JM
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1988, 52 (3-4) : 1119 - 1127
123