We present a full derivation of capillary fluid equations from the kinetic theory of dense gases. These equations involve van der Waals' gradient energy, Korteweg's tensor, and Dunn and Serrin's heat flux as well as viscous and heat dissipative fluxes. Starting from macroscopic equations obtained from the kinetic theory of dense gases, we use a second-order expansion of the pair distribution function in order to derive the diffuse interface model. The capillary extra terms and the capillarity coefficient are then associated with intermolecular forces and the pair interaction potential.

中文翻译：

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扩散界面流体模型的动力学推导。

我们从稠密气体的动力学理论提出了毛细管流体方程的完整推导。这些方程式涉及范德华梯度能量，科特维克张量，邓恩和塞尔林的热通量以及粘性和散热通量。从从稠密气体动力学理论获得的宏观方程开始，我们使用对分布函数的二阶展开来导出扩散界面模型。然后，将毛细管多余项和毛细管系数与分子间力和线对相互作用势相关。