TY - JOUR
T1 - Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow
AU - Guo , Zhaoli
AU - Xu , Kun
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 391
EP - 401
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/8377.html
KW - Non-equilibrium, hydrodynamic model, Poiseuille flow.
AB - <p style="text-align: justify;">Recently Brenner [Physica A <strong>349</strong>, 60 (2005)] proposed a
modified Navier-Stokes set of equations. Based on some theoretical
arguments and some limited experiments, the model is expected to be
able to describe flows with a finite Knudsen number. In this work,
we apply this model to the plane Poiseuille flow driven by a force,
and compare the results with the Direct Simulation Monte Carlo
(DSMC) measurements. It is found that Brenner&#39;s model is inadequate
for flows with a finite Knudsen number.</p>