The Draining of a Vertical Plate

Author(s):  
Harold Jeffreys

When a vessel of liquid has been emptied and put aside, a thin film of liquid clings to the inside and gradually drains down to the bottom under the action of gravity. The layer being thin, the motion is very nearly laminar flow, and the curvature of the surface in a horizontal direction may be ignored. Thus the problem for a cylindrical vessel is reducible to that of a wet plate standing vertically.

1969 ◽  
Vol 36 (4) ◽  
pp. 877-878 ◽  
Author(s):  
M. A. A. Khan

The laminar flow of a thin film past a vertical wall subjected to suction is studied. An approximate solution for small porosity is obtained in the accelerated region. A relation between film thickness and distance traveled is presented.


2001 ◽  
Vol 34 (7) ◽  
pp. 919-928 ◽  
Author(s):  
YOSHIYUKI KOMODA ◽  
YOSHIROU INOUE ◽  
YUSHI HIRATA

2014 ◽  
Vol 92 (11) ◽  
pp. 1441-1445 ◽  
Author(s):  
A.M. Siddiqui ◽  
A. Walait ◽  
T. Haroon ◽  
A.R. Ansari

In this paper, we investigate the time-dependent drainage of a thin film of Eyring fluid of variable thickness, flowing down a vertical plate. The exact solutions for the velocity distribution, flow rate, mean thickness, average velocity, vorticity vector, and stress are obtained. Graphical results are presented and discussed for various flow variables like the velocity profile and the variable thickness.


1973 ◽  
Vol 187 (1) ◽  
pp. 191-197
Author(s):  
A. Brown

The approximate integral method of von Kármán is adapted to analyse combined forced and free convection laminar flow over a vertical flat plate at a constant temperature. This approach produces relatively simple expressions relating velocity and temperature profiles, skin friction and heat transfer to Pr and Gr/Re2 for the situation where forced convection flow is dominant over free convection. The results of the analysis compare favourably with more exact theoretical treatments and with experiment.


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