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Volume 1, Issue 3
Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow

Zhaoli Guo & Kun Xu

Adv. Appl. Math. Mech., 1 (2009), pp. 391-401.

Published online: 2009-01

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  • 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.

  • Keywords

Non-equilibrium, hydrodynamic model, Poiseuille flow.

  • AMS Subject Headings

76A02, 76P05, 82C21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-1-391, author = {Guo , Zhaoli and Xu , Kun}, title = {Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2009}, volume = {1}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aamm/8377.html} }
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.

Guo , Zhaoli and Xu , Kun. (2009). Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow. Advances in Applied Mathematics and Mechanics. 1 (3). 391-401. doi:
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