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Motion produced by combination of gravity and pressure differential when a gate in a tank of liquid is broken

Published online by Cambridge University Press:  29 March 2006

W. S. Chiu ,
M. Y. Jaffrin  and
A. H. Shapiro
W. S. Chiu
Affiliation:
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology
M. Y. Jaffrin
Affiliation:
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology
A. H. Shapiro
Affiliation:
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology
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Abstract

A two-dimensional, semi-infinite tank, closed by a vertical wall at one end, is initially filled to a certain level with an in viscid liquid at rest. A gate in the lower part of the wall is suddenly opened to a region where the gas pressure is greater or less than the gas pressure over the free liquid surface in the tank. The liquid escapes (or moves inwardly) through the gate under the combined action of gravity and the driving pressure differential. The fluid motion, the shapes of the two free surfaces, and the discharge through the gate are calculated for small times after the opening.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 43 , Issue 2 , 28 August 1970 , pp. 225 - 246
Copyright
© 1970 Cambridge University Press

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