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The formation of a dip on the surface of a liquid draining from a tank

Published online by Cambridge University Press:  28 March 2006

Barry T. Lubin  and
George S. Springer
Barry T. Lubin
Affiliation:
Dynatech Corporation, Cambridge, Massachusetts
George S. Springer
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts
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Abstract

Experiments were performed studying the formation of a dip on the surface of an initially stationary liquid draining from a cylindrical tank through an axisym-metrically placed circular orifice. Based upon the information obtained from the experiments, a simple analytical expression was derived predicting the height of the liquid surface in the tank at which this dip forms. A comparison was made between the experimental data and the results of the analysis and good agreement was found between theory and data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 2 , 11 August 1967 , pp. 385 - 390
Copyright
© 1967 Cambridge University Press

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References

Bhuta, P. G. & Koval, L. R. 1965 Sloshing of a liquid in a Draining or Filling Tank Under Variable g Conditions. Symp. on Fluid Mech. and Heat Transfer under Low Gravitational Conditions, Lockheed Res. Lab. Palo Alto, California.
Dergarabedian, P. 1960 The Behavior of Vortex Motion in an Emptying Container, pp. 47–61. Proc. Heat Transfer and Fluid Mech. Inst., Stanford Univ. Press, Stanford, California.
Miles, J. W. 1962 Note on the damping of free-surface oscillations due to drainage J. Fluid Mech. 12, 438–40.Google Scholar
Saad, M. A. & Oliver, D. A. 1964 Linearized Time-Dependent Free-Surface Flow in Rectangular and Cylindrical Tanks, pp. 81–99. Proc. Heat Transfer and Fluid Mech. Inst., Stanford Univ. Press, Stanford, California.
Sabersky, R. H. & Acosta, A. J. 1964 Fluid Flow, p. 65. New York: MacMillan.