On lubrication with comparable viscous and inertia forces
On lubrication with comparable viscous and inertia forces
复制标题
具有可比粘性力和惯性力的润滑
DOI：
--
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
B. Duffy
中科院分区：
文献类型：
--
作者：
S. Wilson;B. Duffy
本文重新研究了粘性力和惯性力相当的边界相对运动驱动的非均匀截面细长通道中的流体流动。给出了大雷诺数和小雷诺数下的一阶精确渐近解以及两种近似解。这些解析解进行了比较，数值计算的解决方案的问题，提高了以前可用的。特别是，我们澄清在文献中的混乱的行为的解决方案的入口附近的通道。
In this paper we re-examine the flow of fluid in a slender channel with nonuniform cross-section driven by the relative motion of the boundaries in which viscous and inertia forces are comparable. We describe the first-order-accurate asymptotic solutions in the limits of large and small Reynolds number as well as two approximate solutions. These analytical solutions are compared with numerically calculated solutions of the problem which improve those previously available. In particular, we clarify the confusion in the literature over the behaviour of the solution near the inlet of the channel.