%0 Journal Article %1 WOS:000080170400060 %A Costa, UMS %A Andrade, JS %A Makse, HA %A Stanley, HE %C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS %D 1999 %I ELSEVIER SCIENCE BV %J PHYSICA A %K imported %N 1-4 %P 420-424 %R 10.1016/S0378-4371(98)00624-4 %T The role of inertia on fluid flow through disordered porous media %V 266 %X 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 nonlinear 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, (C) 1999 Published by Elsevier Science B.V. All rights reserved.

@article{WOS:000080170400060, abstract = {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 nonlinear 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, (C) 1999 Published by Elsevier Science B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, author = {Costa, UMS and Andrade, JS and Makse, HA and Stanley, HE}, biburl = {https://www.bibsonomy.org/bibtex/21db1c58473b58f7e6b921cb75383b7a0/ppgfis_ufc_br}, doi = {10.1016/S0378-4371(98)00624-4}, interhash = {7e765171a7d4ac91036326853d2981e3}, intrahash = {1db1c58473b58f7e6b921cb75383b7a0}, issn = {0378-4371}, journal = {PHYSICA A}, keywords = {imported}, note = {International Conference on Percolation and Disordered Systems - Theory and Applications, UNIV GIESSEN, SCHLOSS RAUISCHHOLZHAUSEN, GIESSEN, GERMANY, JUL 14-17, 1998}, number = {1-4}, organization = {Deutsch Forsch Gemeinschaft; Minerva Ctr Mesoscopics}, pages = {420-424}, publisher = {ELSEVIER SCIENCE BV}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {The role of inertia on fluid flow through disordered porous media}, tppubtype = {article}, volume = 266, year = 1999 }