Year: 2009
Author: Zhaoli Guo, Kun Xu
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 391–401
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8377
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 3 : pp. 391–401
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Non-equilibrium hydrodynamic model Poiseuille flow.