Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media

In this paper, to predict the dynamics behaviors of flow and mass transfer with adsorption phenomena in porous media at the representative elementary volume (REV) scale, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model for the convection-diffusion equation is developed to solve the tran...

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Main Authors: Ma, Qiang, Chen, Zhenqian, Liu, Hao
Format: Article
Published: American Physical Society 2017
Online Access:https://eprints.nottingham.ac.uk/44940/
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author Ma, Qiang
Chen, Zhenqian
Liu, Hao
author_facet Ma, Qiang
Chen, Zhenqian
Liu, Hao
author_sort Ma, Qiang
building Nottingham Research Data Repository
collection Online Access
description In this paper, to predict the dynamics behaviors of flow and mass transfer with adsorption phenomena in porous media at the representative elementary volume (REV) scale, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model for the convection-diffusion equation is developed to solve the transfer problem with an unsteady source term in porous media. Utilizing the Chapman-Enskog analysis, the modified MRT-LB model can recover the macroscopic governing equations at the REV scale. The coupled MRT-LB model for momentum and mass transfer is validated by comparing with the finite-difference method and the analytical solution. Moreover, using the MRT-LB method coupled with the linear driving force model, the fluid transfer and adsorption behaviors of the carbon dioxide in a porous fixed bed are explored. The breakthrough curve of adsorption from MRT-LB simulation is compared with the experimental data and the finite-element solution, and the transient concentration distributions of the carbon dioxide along the porous fixed bed are elaborated upon in detail. In addition, the MRT-LB simulation results show that the appearance time of the breakthrough point in the breakthrough curve is advanced as the mass transfer resistance in the linear driving force model increases; however, the saturation point is prolonged inversely.
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spelling nottingham-449402020-05-04T18:56:14Z https://eprints.nottingham.ac.uk/44940/ Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media Ma, Qiang Chen, Zhenqian Liu, Hao In this paper, to predict the dynamics behaviors of flow and mass transfer with adsorption phenomena in porous media at the representative elementary volume (REV) scale, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model for the convection-diffusion equation is developed to solve the transfer problem with an unsteady source term in porous media. Utilizing the Chapman-Enskog analysis, the modified MRT-LB model can recover the macroscopic governing equations at the REV scale. The coupled MRT-LB model for momentum and mass transfer is validated by comparing with the finite-difference method and the analytical solution. Moreover, using the MRT-LB method coupled with the linear driving force model, the fluid transfer and adsorption behaviors of the carbon dioxide in a porous fixed bed are explored. The breakthrough curve of adsorption from MRT-LB simulation is compared with the experimental data and the finite-element solution, and the transient concentration distributions of the carbon dioxide along the porous fixed bed are elaborated upon in detail. In addition, the MRT-LB simulation results show that the appearance time of the breakthrough point in the breakthrough curve is advanced as the mass transfer resistance in the linear driving force model increases; however, the saturation point is prolonged inversely. American Physical Society 2017-07-21 Article PeerReviewed Ma, Qiang, Chen, Zhenqian and Liu, Hao (2017) Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media. Physical Review E, 96 (1). 013313/1-013313/14. ISSN 2470-0045 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.013313 doi:10.1103/PhysRevE.96.013313 doi:10.1103/PhysRevE.96.013313
spellingShingle Ma, Qiang
Chen, Zhenqian
Liu, Hao
Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title_full Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title_fullStr Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title_full_unstemmed Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title_short Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media
title_sort multiple-relaxation-time lattice boltzmann simulation for flow, mass transfer, and adsorption in porous media
url https://eprints.nottingham.ac.uk/44940/
https://eprints.nottingham.ac.uk/44940/
https://eprints.nottingham.ac.uk/44940/