A general free surface rule for Stokes flow of fluid films over obstacles
A general free surface rule for Stokes flow of fluid films over obstacles
复制标题
流体膜越过障碍物斯托克斯流的一般自由表面规则
DOI：
10.1007/s00707-006-0429-1
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发表时间：
2007
期刊：
影响因子：
2.7
通讯作者：
Scholle M
中科院分区：
文献类型：
--
作者：
Scholle M
推导了重力驱动的流体膜在倾斜壁面上流过局部不规则物或障碍物（在本例中为沟槽）时的自由表面轮廓的一般规律。从Stokes方程的精确解析解出发，基于复变函数理论，证明了自由表面轮廓的积分从其平面渐近平衡水平为零。这个一般的分析结果，这是有效的任意壁的不规则性的空间延伸是小的相比，固有的长度，不仅是一个有趣的功能本身，但也提供了一个有用的检查的准确性的数值方案，用于解决这些问题。
A general rule is derived for the free surface profile of a gravity–driven fluid film on an inclined wall as it flows over a local irregularity, or obstacle, in the present case a trench. Starting from an exact analytical solution of Stokes' equations, based on complex function theory, it is proved that the integral of the free surface profile, from its planer asymptotic equilibrium level, vanishes. This general analytical result, which is valid for arbitrary wall irregularities where the spatial extension is small compared to an intrinsic length, is not only an interesting feature in itself but also provides a useful check of the accuracy of numerical schemes that are used to solve such problems.
波状板上的蠕动库埃特流
影响因子：
2.8
作者：
M. Scholle
通讯作者：
M. Scholle