@Article{CiCP-8-1052,
author = {},
title = {Gas Flow Through Square Arrays of Circular Cylinders with Klinkenberg Effect: A Lattice Boltzmann Study},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {5},
pages = {1052--1073},
abstract = {<p style="text-align: justify;">It is well known that, as non-continuum gas flows through microscale porous
media, the gas permeability derived from Darcy law is larger than the absolute permeability,
which is caused by the so-called Klinkenberg effect or slippage effect. In this
paper, an effective definition of Knudsen number for gas flows through square arrays
of circular cylinders and a local boundary condition for non-continuum gas flows are
first proposed, and then the multi-relaxation-time lattice Boltzmann equation including
discrete effects on boundary condition is used to investigate Klinkenberg effect on
gas flow through circular cylinders in square arrays. Numerical results show that the
celebrated Klinkenberg equation is only correct for low Knudsen number, and second-order
correction to Klinkenberg equation is necessary with the increase of Knudsen
number. Finally, the present numerical results are also compared to some available
results, and in general an agreement between them is observed.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.010809.081209a},
url = {http://global-sci.org/intro/article_detail/cicp/7608.html}
}