Inertial Effects on Fluid Flow through Disordered Media
Soft Condensed Matter
2009-10-31 v1
Abstract
We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to correlate the variations of the friction factor for different porosities and flow conditions. At sufficiently high Reynolds numbers, when inertia becomes relevant, we observe a transition from linear to non-linear behavior which is typical of experiments. We find that such a transition can be understood and statistically characterized in terms of the spatial distribution of kinetic energy in the system.
Cite
@article{arxiv.cond-mat/9911111,
title = {Inertial Effects on Fluid Flow through Disordered Media},
author = {J. S. Andrade and U. M. S. Costa and M. P. Almeida and H. A. Makse and H. E. Stanley},
journal= {arXiv preprint arXiv:cond-mat/9911111},
year = {2009}
}
Comments
10 pages, 6 figures, http://polymer.bu.edu/~hmakse