Inertial Effects on Fluid Flow through Disordered Porous Media

Details Inertial Effects on Fluid Flow through Disordered Porous Media Inertial Effects on Fluid Flow through Disordered Porous Media

1998-09-15

arxiv.org/abs/cond-mat/9809214v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

to appear in Proc. Int. Conf. on Percolation and Disordered Systems, July 14-17, 1998, Giessen. Physica A

Scientific paper

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate viscous and non-viscous flow through these idealized pore spaces to determine the origin of the deviations from the classical Darcy's law behavior. Due to the non-linear contribution of inertia to the transport of momentum at the pore scale, we observe a typical departure from Darcy's law at sufficiently high Reynolds numbers. Moreover, we show that the classical Forchheimer equation provides a valid phenomenological model to correlate the variations of the friction factor of the porous media over a wide range of Reynolds conditions.

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