Recently Brenner[Physica A 349,60(2005)]proposed a modified NavierStokes 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.