Inertial Effects on Fluid Flow through Disordered Media
J. S. Andrade, U. M. S. Costa, M. P. Almeida, H. A. Makse, H. E. Stanley
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.
Create a lesson
Related papers
Nonparametric multiscale modeling of boundary lubrication: hexadecane in highly pressurized gold asperity contacts
Hannes Holey, Michael Moseler, Peter Gumbsch et al.
Asymmetric Ions in Solution are Similar to Active Brownian Particles
Setare Mostajabi Sarhangi, Dmitry V. Matyushov
Influence of twist direction and large deformation on soft material torsional contact
Yucai Hu, Pengfei Li, Michele Ciavarella et al.
Phase transitions and microphases in elastomers. II. Anisotropy-driven morphologies
Manu Mannattil, David Andelman, Haim Diamant
Comparing non-local granular fluid continuum models for silo discharge: Toward clogging prediction
Y. Zhou, Y. Wang, M. Li et al.
Residual semi-crystalline particles released during enzymatic degradation of plastics
Michael Schindler, Ludwik Leibler