Super-Burnett solutions for Poiseuille flow

In the slip flow regime with Kn=0.1 for the force and pressure driven Poiseuille flow, Zheng et al. [Rarefied Gas Dynamics, Vol. 23 (Whistler, Canada, 2002)] found out that the Navier–Stokes equations with slip boundary condition could give qualitative different results in the cross-stream direction from the reliable direct simulation Monte Carlo (DSMC) solution. In this Brief Communication, we are going to show that the discrepancy between the Navier–Stokes and the DSMC results can be resolved based on the simulation results of higher-order equations, such as Burnett and super-Burnett ones.