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

Zhaoli Guo and Kun Xu

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

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  • Abstract

Recently Brenner [Physica A {\bf 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.

  • History

Published online: 2009-01

  • AMS Subject Headings

76A02, 76P05, 82C21

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