The purpose of this work is to evaluate the recently derived Onsager-Burnett (OBurnett) equations [N. Singh, R. S. Jadhav, and A. Agrawal, “Derivation of stable Burnett equations for rarefied gas flows,” Phys. Rev. E 96, 013106 (2017)] for force-driven compressible plane Poiseuille flow. This classical internal flow problem depicts several non-equilibrium phenomena, for instance, non-constant pressure profile in the transverse direction and tangential heat flux, which are not captured by the classical Navier-Stokes-Fourier equations. The results of OBurnett equations for conserved and non-conserved variables are validated against the existing direct simulation Monte Carlo (DSMC) and molecular dynamics (MD) simulation results. These results suggest that the OBurnett equations are able to predict most of the variables well with respect to DSMC and MD simulation results. We find that the OBurnett equations predict a strictly monotonic pressure profile, in contrast to the bimodal profile predicted by the DSMC...

中文翻译：

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Onsager-Burnett方程的力驱动可压缩平面泊肃叶流

这项工作的目的是评估最近推导出的 Onsager-Burnett (OBurnett) 方程 [N. Singh、RS Jadhav 和 A. Agrawal，“稀薄气体流动稳定 Burnett 方程的推导”，物理学。Rev. E 96, 013106 (2017)] 用于力驱动的可压缩平面泊肃叶流。这个经典的内部流动问题描述了几个非平衡现象，例如，横向的非恒定压力分布和切向热通量，经典 Navier-Stokes-Fourier 方程没有捕捉到这些现象。守恒和非守恒变量的 OBurnett 方程的结果根据现有的直接模拟蒙特卡罗 (DSMC) 和分子动力学 (MD) 模拟结果进行了验证。这些结果表明，根据 DSMC 和 MD 模拟结果，OBurnett 方程能够很好地预测大多数变量。我们发现，与 DSMC 预测的双峰曲线相比，OBurnett 方程预测了严格的单调压力曲线……