Abstract
We present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials. The relationship is revealed through simultaneously extracting correlation functions R_{uu}(r) of the spatial (Eulerian) velocity fields and microstructural two-point correlation functions S_{2}(r) of the random porous heterogeneous materials. This demonstrates that the effective physical transport properties depend on the characteristics of complex pore structure owing to the relationship between R_{uu}(r) and S_{2}(r) revealed in this study. Further, the mean excess plot was used to investigate the right tail of the streamwise velocity component that was found to obey light-tail distributions. Based on the mean excess plot, a generalized Pareto distribution can be used to approximate the positive streamwise velocity distribution.
Highlights
The physics of fluids flowing through random porous media is of fundamental importance to a wide range of engineering and scientific fields [1,2]
We present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials
The relationship is revealed through simultaneously extracting correlation functions Ruu(r) of the spatial (Eulerian) velocity fields and microstructural two-point correlation functions S2(r) of the random porous heterogeneous materials
Summary
The physics of fluids flowing through random porous media is of fundamental importance to a wide range of engineering and scientific fields [1,2]. There exists a vast amount of work that has attempted to relate the effective physical transport properties, e.g., permeability κ and diffusion trapping constant γ , to the pore geometry using fractals [9], characteristic length scales [10,11], or correlation functions [12,13,14,15,16,17,18,19]. Datta et al [27] observed that the streamwise velocity component across several packings of beads obeys an exponential distribution They probed correlation functions of the velocity field. We used the lattice Boltzmann method (LBM) [29,30] to simulate the viscous pore-scale flows through three different random porous samples
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