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Lattice Boltzmann equation for mass transfer in multi solvent systems

机译：多溶剂体系中传质的格子Boltzmann方程

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摘要

The key problem for simulating mass transfer in multi solvent systems is the concentration jump at the phase interface described by Henry's law. In the present paper, after analyzing the shortages of Fick's law in describing mass transfer in multi solvent systems, the revised Fick's law that can be applied to mass transfer in multi solvent systems is proposed. The corresponding governing equation can describe the concentration jump directly without any modification and doesn't need to transform the scalar or parameters. To solve the governing differential equation based on the revised Fick's law, a multi-relaxation-time (MRT) lattice Boltzmann equation (LBE) is constructed. Five test cases containing both the transient and steady mass transfer problems in multi solvent systems with straight or curved interfaces are conducted to validate the proposed MRT LBE. The results show that proposed MRT LBE is easy in implementation and capable of simulating both steady and transient mass transfer in multi solvent systems. In addition, the comparison indicates that the MRT LBE could have better accuracy than single-relaxation-time (SRT) LBE by keeping an optimal relation between two relaxation times. (C) 2018 Elsevier Ltd. All rights reserved.
机译：在多溶剂系统中模拟传质的关键问题是亨利定律描述的相界面处的浓度跃变。本文在分析了描述多溶剂体系中传质的菲克定律的不足之后，提出了适用于多溶剂体系中传质的修正的菲克定律。相应的控制方程式可以直接描述浓度跃变而无需任何修改，并且不需要变换标量或参数。为了基于修正的菲克定律求解控制微分方程，构造了一个多弛豫时间（MRT）晶格玻尔兹曼方程（LBE）。在具有直线或弯曲界面的多溶剂系统中，进行了包含瞬态和稳态传质问题的五个测试案例，以验证所提出的MRT LBE。结果表明，提出的MRT LBE易于实施，并且能够模拟多溶剂系统中的稳态和瞬态传质。此外，比较表明，通过保持两个弛豫时间之间的最佳关系，MRT LBE的准确性可能优于单弛豫时间（SRT）LBE。 （C）2018 Elsevier Ltd.保留所有权利。

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  • 来源
  • 作者

    Lu J. H.; Lei H. Y.; Dai C. S.;

  • 作者单位

    Tianjin Univ, MOE, Sch Mech Engn, Key Lab Efficient Utilizat Low & Medium Grade Ene, 135 Yaguan Rd, Tianjin 300050, Peoples R China;

    Tianjin Univ, MOE, Sch Mech Engn, Key Lab Efficient Utilizat Low & Medium Grade Ene, 135 Yaguan Rd, Tianjin 300050, Peoples R China;

    Tianjin Univ, MOE, Sch Mech Engn, Key Lab Efficient Utilizat Low & Medium Grade Ene, 135 Yaguan Rd, Tianjin 300050, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Mass transfer; Multi solvent system; Lattice Boltzmann equation; Henry's law; Fick's law;

    机译：传质;多溶剂体系;格子玻尔兹曼方程;亨利定律;菲克定律;

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