Ma Qiang, Chen Zhenqian, Liu Hao
Institute for Energy Research, Jiangsu University, 301 Xuefu Road, Zhenjiang 212013, People's Republic of China.
Faculty of Engineering, University of Nottingham, University Park, Nottingham NG72RD, United Kingdom.
Phys Rev E. 2017 Jul;96(1-1):013313. doi: 10.1103/PhysRevE.96.013313. Epub 2017 Jul 21.
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.
在本文中，为了预测多孔介质中具有吸附现象的流动和传质在代表性单元体（REV）尺度下的动力学行为，开发了一种用于对流扩散方程的多松弛时间（MRT）格子玻尔兹曼（LB）模型，以解决多孔介质中具有非稳态源项的传递问题。利用查普曼 - 恩斯科格分析，改进的MRT - LB模型可以在REV尺度下恢复宏观控制方程。通过与有限差分法和解析解进行比较，验证了动量和传质耦合的MRT - LB模型。此外，使用MRT - LB方法结合线性驱动力模型，研究了多孔固定床中二氧化碳的流体传递和吸附行为。将MRT - LB模拟得到的吸附突破曲线与实验数据和有限元解进行比较，并详细阐述了二氧化碳沿多孔固定床的瞬态浓度分布。此外，MRT - LB模拟结果表明，随着线性驱动力模型中传质阻力的增加，突破曲线中突破点的出现时间提前；然而，饱和点则相反地延长。
