Poiseuille, thermal transpiration and Couette flows of a rarefied gas between plane parallel walls with nonuniform surface properties in the transverse direction and their reciprocity relations
Poiseuille, thermal transpiration and Couette flows of a rarefied gas between plane parallel walls with nonuniform surface properties in the transverse direction and their reciprocity relations
复制标题
横向表面性质不均匀的平面平行壁之间稀薄气体的泊肃叶、热蒸腾和库埃特流及其互易关系
DOI：
10.1088/1873-7005/aa962d
复制
发表时间：
2018
影响因子：
1.5
通讯作者：
T. Doi
中科院分区：
文献类型：
--
作者：
T. Doi
基于动力学理论，研究了稀薄气体在两平行非均匀壁面间的慢流动。假设一个壁面为漫反射边界，另一个壁面为麦克斯韦型边界，其调节系数沿垂直于流动方向周期性变化。考虑了与时间无关的Poiffille流、热蒸腾流和Couette流。基于Boltzmann方程的线性化Bhatnagar-Gross-Krook-Welander模型，对流动行为进行了数值研究。在气体稀薄度和适应系数分布的参数范围内，研究了流场、气体中的质量流率和热流率以及作用在壁面上的切向力。在高稀薄气体的Couette流中观察到局部凸的速度分布，类似于Poiffille流和热蒸腾。在很宽的流动参数范围内的互易关系的数值证实。
Slow flows of a rarefied gas between two plane parallel walls with nonuniform surface properties are studied based on kinetic theory. It is assumed that one wall is a diffuse reflection boundary and the other wall is a Maxwell-type boundary whose accommodation coefficient varies periodically in the direction perpendicular to the flow. The time-independent Poiseuille, thermal transpiration and Couette flows are considered. The flow behavior is numerically studied based on the linearized Bhatnagar–Gross–Krook–Welander model of the Boltzmann equation. The flow field, the mass and heat flow rates in the gas, and the tangential force acting on the wall surface are studied over a wide range of the gas rarefaction degree and the parameters characterizing the distribution of the accommodation coefficient. The locally convex velocity distribution is observed in Couette flow of a highly rarefied gas, similarly to Poiseuille flow and thermal transpiration. The reciprocity relations are numerically confirmed over a wide range of the flow parameters.