A free-energy based multiple-distribution-function lattice Boltzmann method for multi-component and multi-phase flows

IF 6.1 2区 工程技术 Q2 ENERGY & FUELS
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引用次数: 0

Abstract

This study presents the development of a multiple-distribution-function lattice Boltzmann model (MDF-LBM) for the accurate simulation of multi-component and multi-phase flow. The model is based on the diffuse interface theory and free energy model, which enable the derivation of hydrodynamic equations for the system. These equations comprise a Cahn-Hilliard (CH) type mass balance equation, which accounts for cross diffusion terms for each species, and a momentum balance equation. By establishing a relationship between the total chemical potential and the general pressure, the momentum balance equation is reformulated in a potential form. This potential form, together with the CH type mass balance equation, is then utilized to construct the MDF-LBM as a coupled convection–diffusion system. Numerical simulations demonstrate that the proposed MDF-LBM accurately captures phase behavior and ensures mass conservation. Additionally, the calculated interface tension exhibits good agreement with experimental data obtained from laboratory studies.

基于自由能的多分布函数晶格玻尔兹曼方法用于多组分和多相流
本研究提出了一种多分布函数晶格玻尔兹曼模型(MDF-LBM),用于精确模拟多组分和多相流。该模型以扩散界面理论和自由能模型为基础,从而推导出系统的流体力学方程。这些方程包括一个卡恩-希利亚德(Cahn-Hilliard,CH)型质量平衡方程和一个动量平衡方程,前者考虑了每个物种的交叉扩散项。通过建立总化学势和总压力之间的关系,动量平衡方程被重新表述为化学势形式。然后,利用这种势能形式和 CH 型质量平衡方程,将 MDF-LBM 构建成一个耦合对流-扩散系统。数值模拟证明,所提出的 MDF-LBM 准确地捕捉到了相行为并确保了质量守恒。此外,计算得出的界面张力与实验室研究获得的实验数据非常吻合。
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来源期刊
Applied Thermal Engineering
Applied Thermal Engineering 工程技术-工程:机械
CiteScore
11.30
自引率
15.60%
发文量
1474
审稿时长
57 days
期刊介绍: Applied Thermal Engineering disseminates novel research related to the design, development and demonstration of components, devices, equipment, technologies and systems involving thermal processes for the production, storage, utilization and conservation of energy, with a focus on engineering application. The journal publishes high-quality and high-impact Original Research Articles, Review Articles, Short Communications and Letters to the Editor on cutting-edge innovations in research, and recent advances or issues of interest to the thermal engineering community.
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