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A numerical model for withdrawal from a two-layer fluid

Published online by Cambridge University Press:  08 February 2006

D. E. FARROW
Affiliation:
Mathematics and Statistics, Division of Science and Engineering, Murdoch University, Murdoch, WA 6150, Australia
G. C. HOCKING
Affiliation:
Mathematics and Statistics, Division of Science and Engineering, Murdoch University, Murdoch, WA 6150, Australia

Abstract

This paper reports the results of several direct numerical simulations of the withdrawal of a two-layer fluid with a finite-thickness interface through a slot in the base of a finite rectangular cavity. Particular attention is paid to the role of long (basin scale) interfacial waves on the processes leading to drawdown of the interface into the slot. It is shown that these waves play an important role and can either delay or accelerate drawdown. This means that drawdown can occur over a range of Froude numbers. The results are compared with previous work for ideal flow and experimental results.

Type
Papers
Copyright
© 2006 Cambridge University Press

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