TY - JOUR
T1 - Fluid flow through porous media
T2 - The role of stagnant zones
AU - Andrade, J. S.
AU - Almeida, M. P.
AU - Mendes Filho, J.
AU - Havlin, S.
AU - Suki, B.
AU - Stanley, H. E.
PY - 1997
Y1 - 1997
N2 - 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\(E\)∼E-α, where α = 0.90+/-0.03 for the entire cluster, while α = 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.
AB - 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\(E\)∼E-α, where α = 0.90+/-0.03 for the entire cluster, while α = 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.
UR - http://www.scopus.com/inward/record.url?scp=0001167120&partnerID=8YFLogxK
U2 - 10.1103/physrevlett.79.3901
DO - 10.1103/physrevlett.79.3901
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AN - SCOPUS:0001167120
SN - 0031-9007
VL - 79
SP - 3901
EP - 3904
JO - Physical Review Letters
JF - Physical Review Letters
IS - 20
ER -