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 -

Recently Brenner [Physica A 349, 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's model is inadequate for flows with a finite Knudsen number.