Inertial Effects on Fluid Flow through Disordered Porous Media
摘要
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.
引用
@article{arxiv.cond-mat/9809214,
title = {Inertial Effects on Fluid Flow through Disordered Porous Media},
author = {U. M. S. Costa and J. S. Andrade and H. A. Makse and H. E. Stanley},
journal= {arXiv preprint arXiv:cond-mat/9809214},
year = {2015}
}
备注
to appear in Proc. Int. Conf. on Percolation and Disordered Systems, July 14-17, 1998, Giessen. Physica A