Inertial Effects on Fluid Flow through Disordered Media
arXiv:cond-mat/9911111 · doi:10.1103/PhysRevLett.82.5249
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.
10 pages, 6 figures, http://polymer.bu.edu/~hmakse
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