Free Surface Model Derived From the Analytical Solution of Stokes Flow in a Wedge

被引：6
|
作者：
Hewson, R. W. [1 ]
机构：
[1] Univ Leeds, Sch Mech Engn, Leeds LS2 9JT, W Yorkshire, England
来源：
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME | 2009年 / 131卷 / 04期
关键词：
boundary layers; differential equations; external flows; film flow; finite element analysis; flow simulation; integration; liquid films; VISCOUS-FLOW; LIQUID; LUBRICATION; DYNAMICS;
D O I：
10.1115/1.3089540
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem.
引用
收藏
页码：0412051 / 0412055
页数：5
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