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

Ma, Qiang; Chen, Zhenqian; Liu, Hao

Abstract

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.

Citation

Ma, Q., Chen, Z., & Liu, H. (2017). Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media. Physical Review E, 96(1), Article 013313. https://doi.org/10.1103/PhysRevE.96.013313

• Journal Article Type: Article
• Acceptance Date: Jul 7, 2017
• Publication Date: Jul 21, 2017
• Deposit Date: Aug 16, 2017
• Publicly Available Date: Aug 16, 2017
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0045
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 1
• Article Number: 013313
• DOI: https://doi.org/10.1103/PhysRevE.96.013313
• Public URL: https://nottingham-repository.worktribe.com/output/873475
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.013313
• Additional Information: Qiang Ma, Zhenqian Chen, and Hao Liu, Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media. Phys. Rev. E 96, 013313