%0 Journal Article %1 WOS:A1997YF78600026 %A Andrade, JS %A Almeida, MP %A Mendes, J %A Havlin, S %A Suki, B %A Stanley, HE %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 1997 %I AMERICAN PHYSICAL SOC %J PHYSICAL REVIEW LETTERS %K imported %N 20 %P 3901-3904 %R 10.1103/PhysRevLett.79.3901 %T Fluid flow through porous media: The role of stagnant zones %V 79 %X We investigate fluid flow through disordered porous media by direct simulation of the Navier-Stokes equations in a two-dimensional percolation structure. We find, in contrast to the log-normal distribution for the local currents found in the analog-random resistor network, that over roughly 5 orders of magnitude the distribution n(E) of local kinetic energy E follows a power law, with n(E) proportional to E-alpha, where alpha = 0.90 +/- 0.03 for the entire cluster, while alpha = 0.64 +/- 0.05 for fluid flow in the backbone only. Thus the `'stagnant'' zones play a significant role in transport through porous media, in contrast to the dangling ends for the analogous electrical problem.

@article{WOS:A1997YF78600026, abstract = {We investigate fluid flow through disordered porous media by direct simulation of the Navier-Stokes equations in a two-dimensional percolation structure. We find, in contrast to the log-normal distribution for the local currents found in the analog-random resistor network, that over roughly 5 orders of magnitude the distribution n(E) of local kinetic energy E follows a power law, with n(E) proportional to E-alpha, where alpha = 0.90 +/- 0.03 for the entire cluster, while alpha = 0.64 +/- 0.05 for fluid flow in the backbone only. Thus the `'stagnant'' zones play a significant role in transport through porous media, in contrast to the dangling ends for the analogous electrical problem.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Andrade, JS and Almeida, MP and Mendes, J and Havlin, S and Suki, B and Stanley, HE}, biburl = {https://www.bibsonomy.org/bibtex/28a5fce77300e9f22bccc7f2da1d8a6d2/ppgfis_ufc_br}, doi = {10.1103/PhysRevLett.79.3901}, interhash = {00875cfab1ae6c4ef81617cd87c9fa10}, intrahash = {8a5fce77300e9f22bccc7f2da1d8a6d2}, issn = {0031-9007}, journal = {PHYSICAL REVIEW LETTERS}, keywords = {imported}, number = 20, pages = {3901-3904}, publisher = {AMERICAN PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Fluid flow through porous media: The role of stagnant zones}, tppubtype = {article}, volume = 79, year = 1997 }