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arXiv · cond-mat/9911111

Inertial Effects on Fluid Flow through Disordered Media

J. S. Andrade Jr.·U. M. S. Costa·M. P. Almeida·H. A. Makse·H. E. Stanley
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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.

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J. S. Andrade Jr., U. M. S. Costa, M. P. Almeida, H. A. Makse, H. E. Stanley. 1999-11-08. Inertial Effects on Fluid Flow through Disordered Media. https://doi.org/10.1103/physrevlett.82.5249

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