A comment on `An improved macroscale model for gas slip flow in porous media'
Abstract
In a recent paper by Lasseux, Vald\'{e}s-Parada and Porter (J.~Fluid~Mech. \textbf{805} (2016) 118-146), it is found that the apparent gas permeability of the porous media is a nonlinear function of the Knudsen number. However, this result is highly questionable, because the adopted Navier-Stokes equations and the first-order velocity-slip boundary condition are first-order (in terms of the Knudsen number) approximations of the Boltzmann equation and the kinetic boundary condition for rarefied gas flows. Our numerical simulations based on the Bhatnagar-Gross-Krook kinetic equation and regularized 20-moment equations prove that the Navier-Stokes equations with the first-order velocity-slip boundary condition are only accurate at a very small Knudsen number limit, where the apparent gas permeability is a linear function of the Knudsen number.
Keywords
Cite
@article{arxiv.1702.04102,
title = {A comment on `An improved macroscale model for gas slip flow in porous media'},
author = {Lei Wu and Minh Tuan Ho and Lefki Germanou and Xiao-Jun Gu and Chang Liu and Kun Xu and Yonghao Zhang},
journal= {arXiv preprint arXiv:1702.04102},
year = {2017}
}
Comments
a comment paper regarding the application range of the Navier-Stokes equation with the first-order velocity-slip boundary condition in porous media