Lockerby Duncan A, Reese Jason M, Emerson David R, Barber Robert W
Department of Mechanical Engineering, King's College London, London WC2R 2LS, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004;70(1 Pt 2):017303. doi: 10.1103/PhysRevE.70.017303. Epub 2004 Jul 26.
Maxwell's famous slip boundary condition is often misapplied in current rarefied gas flow calculations (e.g., in hypersonics, microfluidics). For simulations of gas flows over curved or moving surfaces, this means crucial physics can be lost. We give examples of such cases. We also propose a higher-order boundary condition based on Maxwell's general equation and the constitutive relations derived by Burnett. Unlike many other higher-order slip conditions these are applicable to any form of surface geometry. It is shown that these "Maxwell-Burnett" boundary conditions are in reasonable agreement with the limited experimental data available for Poiseuille flow and can also predict Sone's thermal-stress slip flow-a phenomenon which cannot be captured by conventional slip boundary conditions.
麦克斯韦著名的滑移边界条件在当前稀薄气体流动计算（如高超声速、微流体领域）中常常被错误应用。对于气体在弯曲或移动表面上流动的模拟而言，这意味着关键物理特性可能会丢失。我们给出此类情况的示例。我们还基于麦克斯韦通用方程以及伯内特推导的本构关系提出了一种高阶边界条件。与许多其他高阶滑移条件不同，这些条件适用于任何形式的表面几何形状。结果表明，这些“麦克斯韦 - 伯内特”边界条件与泊肃叶流有限的可用实验数据具有合理的一致性，并且还能够预测曾根的热应力滑移流——这是一种传统滑移边界条件无法捕捉的现象。
