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Updated: Mar 25, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media
C Jin1,2,3, P A Langston1, G E Pavlovskaya4
1Department of Chemical and Environmental Engineering, Faculty of Engineering, University of Nottingham, NG7 2RD, United Kingdom.
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.
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