REV尺度多孔介质格子Boltzmann方法的数学模型及应用的研究进展

doi:10.16085/j.issn.1000-6613.2016.06.010

化工进展 ›› 2016, Vol. 35 ›› Issue (06): 1698-1712.DOI: 10.16085/j.issn.1000-6613.2016.06.010

REV尺度多孔介质格子Boltzmann方法的数学模型及应用的研究进展

张潇丹^1,2, 雍玉梅², 李文军³, 赵元生⁴, 李媛媛², 杨巧文¹, 杨超²

1. 中国矿业大学(北京)化学与环境工程学院, 北京 100083;
2. 中国科学院过程工程研究所绿色过程与工程重点实验室, 北京 100190;
3. 华北科技学院环境工程学院, 河北廊坊 065201;
4. 中国石油化工研究院渣油加氢实验室, 北京 102200

收稿日期:2016-01-19 修回日期:2016-01-31 出版日期:2016-06-05 发布日期:2016-06-05
通讯作者: 雍玉梅,研究员,主要从事化学工程数值模拟。E-mail:ymyong@ipe.ac.cn。
作者简介:张潇丹(1989-),女,硕士研究生,主要从事化学工程数值模拟。
基金资助:
国家自然科学基金(21276256,21490584)、国家重点基础研究发展计划(2012CB224806)及中央高校基本科研业务费(3142013097)项目。

Models and application of lattice Boltzmann method at REV-scale in porous media

ZHANG Xiaodan^1,2, YONG Yumei², LI Wenjun³, ZHAO Yuansheng⁴, LI Yuanyuan², YANG Qiaowen¹, YANG Chao²

1. School of Chemical & Environmental Engineering, China University of Mining & Technology (Beijing), Beijing 100083, China;
2. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
3. School of Environmental Engineering, North China Institute of Science and Technology, Langfang 065201, Hebei, China;
4. Laboratory of Residue Hydrotreating, Research Institute of Petroleum Processing, PetroChina, Beijing 102200, China

Received:2016-01-19 Revised:2016-01-31 Online:2016-06-05 Published:2016-06-05

摘要/Abstract

摘要： 综述了多孔介质表征体元尺度(REV)格子Boltzmann模型的研究进展,根据对多孔介质处理方式主要分为部分反弹模型和阻力模型两类,分析归纳了各类模型的优缺点。由于阻力模型中渗流的广义格子Boltzmann方程(GLBE)的作用力是基于GUO等的作用力模型,可以准确得到宏观方程,不存在离散误差,且模型的平衡分布函数和作用力项中都包含反应介质特性的孔隙率,因而应用最为广泛。本文还重点介绍了REV尺度多孔介质LBE模型在流动、传热、传质、化学反应及相变等过程中的具体应用,认为REV尺度多孔介质内的三传一反数学模型中需要加入孔隙尺度因素,在更大工程尺度上应该考虑过程参数的各向异性,展望了REV尺度多孔介质LBE模型的发展和应用前景。

关键词: 多孔介质, 表征体元尺度, 格子Boltzmann方法, 流动, 传热, 传质

Abstract: This paper discusses the lattice Boltzmann model at representative elementary volume (REV) scale for porous media. According to different treatments of porous media,the lattice Boltzmann model at REV-scale for porous media can be classified into two categories,the partially bouncing-back model and the resistance model. The advantages and disadvantages of various models are analyzed. The Generalized lattice Boltzmann equation (GLBE model) in the resistance model is most widely used. Firstly,the force item of the GLBM model is based on the method proposed by Guo et al,which can be accurately recovered to the macroscopic equation without discretization error. Secondly,the equilibrium distribution function and the force items involve porosity,which reflects the characteristics of porous media. This review introduces the application of the lattice Boltzmann model at REV-scale in porous media with flow,heat transfer,mass transfer,chemical reaction and phase transition. We should take the pore scale factors into consideration when studying momentum transport,heat transport,mass transport and reaction engineering in porous media at REV-scale. The anisotropic nature of process parameters should be considered at the larger engineering scale. It gives some predictions and perspectives of applications for the lattice Boltzmann model at REV-scale.

Key words: porous media, representative elementary volume (REV), lattice Boltzmann method (LBM), flow, heat transfer, mass transfer

中图分类号:

TQ021.9

张潇丹, 雍玉梅, 李文军, 赵元生, 李媛媛, 杨巧文, 杨超. REV尺度多孔介质格子Boltzmann方法的数学模型及应用的研究进展[J]. 化工进展, 2016, 35(06): 1698-1712.

ZHANG Xiaodan, YONG Yumei, LI Wenjun, ZHAO Yuansheng, LI Yuanyuan, YANG Qiaowen, YANG Chao. Models and application of lattice Boltzmann method at REV-scale in porous media[J]. Chemical Industry and Engineering Progree, 2016, 35(06): 1698-1712.

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REV尺度多孔介质格子Boltzmann方法的数学模型及应用的研究进展

Models and application of lattice Boltzmann method at REV-scale in porous media

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