Effects of grain's shape-and size-polydispersities,orientation,and area fraction on tortuosity and permeability of 2D granular media  

作　　者：Ke Cao Huisu Chen Mohammad Iqbal Khan Mingqi Li Lin Liu 

机构地区：[1]Jiangsu Key Laboratory of Construction Materials,School of Materials Science and Engineering,Southeast University,Nanjing 211189,China [2]Department of Civil Engineering,College of Engineering,King Saud University,P.O.Box 800,Riyadh 11421,Saudi Arabia [3]School of Civil and Transportation Engineering,Hebei University of Technology,Tianjin 300401,China [4]College of Civil and Transportation Engineering,Hohai University,Nanjing,210098,China

出　　处：《Particuology》2024年第7期535-557,共23页颗粒学报（英文版）

基　　金：extend their appreciation to Researcher Supporting Project number(RSPD2024R692),King Saud University,Riyadh,Kingdomof SaudiArabia.

摘　　要：The microstructure of granular media, including grain's shape- and size-polydispersities, orientation, and area fraction can potentially affect its permeability. However, few studies consider the coupling effects of these features. This work employs geometrical probability and stereology to establish quantitative relationships between the above microstructural features and the geometric tortuosity of the two-dimensional granular media containing superellipse, superoval, and polygon grains. Then the lattice Boltzmann method (LBM) is used to determine the permeabilities of these granular media. By combining the tortuosity model and the LBM-derived permeabilities, modified K–C equations are formulated to predict the permeability and the shape factor, considering the grain's shape- and size-polydispersities, orientation, and area fraction. The reliability of these methods can be verified by comparing them with both our simulations and available experimental, theoretical, and numerical data reported in the literature. The findings implicate that the tortuosity and permeability of the granular media are strongly correlated with the grain's shape, orientation, and area fraction but unaffected by the size polydispersity and spatial arrangement of grains. Only circularity is not enough to derive a unified formula for considering the impact of grain shape on tortuosity and permeability, other shape parameters need to be explored in the future.

关 键 词：Geometric tortuosity Konzey-Carman equation Shape and size ploydispersities Grain orientation Lattice Boltzmann method Granular media 

分 类 号：O35[理学—流体力学]