Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media

Jin, Chunyu and Langston, Paul A. and Pavlovskaya, Galina E. and Hall, Mattew R. and Rigby, Sean P. (2016) Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media. Physical Review E, 93 . 013122/1-013122/10. ISSN 1550-2376

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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.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Engineering > Department of Chemical and Environmental Engineering
University of Nottingham UK Campus > Faculty of Medicine and Health Sciences > School of Medicine > Division of Respiratory Medicine
Identification Number: https://doi.org/10.1103/PhysRevE.93.013122
Depositing User: Pavlovskaya, Galina
Date Deposited: 04 Apr 2016 08:10
Last Modified: 11 May 2016 15:26
URI: http://eprints.nottingham.ac.uk/id/eprint/32609

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