The role of inertia on fluid flow through disordered porous media
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.
Year of publication: |
1999
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Authors: | Costa, U.M.S. ; Jr., J.S. Andrade ; Makse, H.A. ; Stanley, H.E. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 266.1999, 1, p. 420-424
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Publisher: |
Elsevier |
Saved in:
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