Slow Viscous Flow
Slow Viscous Flow
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DOI：
10.1007/978-1-4612-4244-4_10
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发表时间：
1995
影响因子：
9.5
通讯作者：
V. Constantinescu
中科院分区：
文献类型：
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作者：
V. Constantinescu
已经提出的许多问题涉及惯性力不为零(平行流)的情况，或者由于某些特性而可以忽略的情况，例如薄层流动。G·G·斯托克斯(G.G.Stokes，1851)很早以前就指出了一类可以忽略对流惯性力的流动：慢粘流(通常称为斯托克斯流或蠕动流)。在其他结果中，Stokes得到了一个表示球体在粘性流体中缓慢运动的阻力的公式；这是绕过浸没物体的流动的Navier-Stokes方程的第一个近似解之一。缓慢粘性流动意味着小雷诺数，目前为止提出的一些增量解也可以包括在这一类中，例如在多孔介质中的流动(§4.5)，在圆锥形喷嘴中的流动(§5.4)，甚至在狭窄通道中的流动(润滑)。第九章)。
Many of the problems already presented dealt with situations where inertia forces were cither zero (parallel flow) or could be neglected because of some peculiarities, for example, flow in thin layers. A larger class of flows with negligible convective inertia forces was pointed out long ago by G.G. Stokes (1851): the slow viscous flows (often calledStokes flowsorcreeping flows). Among other results, Stokes obtained a formula expressing the drag of a sphere slowly moving in a viscous fluid; this represented one of the first approximate solutions of the Navier-Stokes equations for a flow past an immersed body. Slow viscous flow meaning small Reynolds numbers, some of the incrtialcss solutions presented so far can also be included in this class, such as flow through porous media (§4.5), flow in conical nozzles (§5.4), and even flows in narrow passages (lubrication. Chapter 9).