Microscopic determination of macroscopic boundary conditions in Newtonian liquids
Microscopic determination of macroscopic boundary conditions in Newtonian liquids
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牛顿液体宏观边界条件的微观测定
DOI：
10.1103/physreve.99.013106
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发表时间：
2019
影响因子：
2.4
通讯作者：
Shin-ichi Sasa
中科院分区：
文献类型：
--
作者：
Hiroyoshi Nakano;Shin-ichi Sasa
本文从微观粒子系统的角度研究了牛顿流体宏观动力学的边界条件。我们假设存在的微观边界条件，是唯一确定的流体和壁的微观描述。通过分子动力学模拟，我们研究了微观边界条件的一种可能形式。在宏观极限下，我们可以通过忽略由微观边界条件和标准流体力学计算的速度场中的高阶项来引入标度速度场。我们将宏观边界条件定义为施加在标度速度场上的边界条件。宏观边界条件包含了几个滑移量的唯象参数，这些参数与给定的微观边界条件的函数形式有关。通过考虑两个宏观限制的非平衡定态，我们提出了两个不同的框架来确定宏观边界条件。
We study boundary conditions applied to the macroscopic dynamics of Newtonian liquids from the view of microscopic particle systems. We assume the existence of microscopic boundary conditions that are uniquely determined from a microscopic description of the fluid and the wall. By using molecular dynamical simulations, we examine a possible form of the microscopic boundary conditions. In the macroscopic limit, we may introduce a scaled velocity field by ignoring the higher-order terms in the velocity field that is calculated from the microscopic boundary condition and standard fluid mechanics. We define macroscopic boundary conditions as the boundary conditions that are imposed on the scaled velocity field. The macroscopic boundary conditions contain a few phenomenological parameters for an amount of slip, which are related to a functional form of the given microscopic boundary condition. By considering two macroscopic limits of the nonequilibrium steady state, we propose two different frameworks for determining macroscopic boundary conditions.