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Selective withdrawal from stratified streams

Published online by Cambridge University Press:  17 February 2009

Chia-Shun Yih  and
Songping Zhu
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Abstract

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Selective withdrawal from a stratified stream is considered. The average density of the withdrawn fluid and the flow pattern are found, within the limitations on the densimetric Froude number and the withdrawal rate specified in this paper, to depend on the strength and location of the sink, and very little on any slight variation in the velocity distribution far upstream and the densimetric Froude number. The upstream density distribution is assumed linear, but many other density distributions can be similarly treated.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 1 , July 1996 , pp. 26 - 40
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Craya, A., “Recherches théoriques sur l'écoulement de couches superposées de fluides de densités différentes”, La Houille Blanche 4 (1949) 44–55.CrossRefGoogle Scholar
[2]Debler, W. R., “Stratified flow into a line sink”, J. Eng. Mech. Div., Proc. Am. Soc. Civ. Eng. 85 (1959) 51–65.Google Scholar
[3]Gariél, P., “Recherches expérimentales sur l'écoulement de couches superposées de fluides de densités différentes”, La Houille Blanche 4 (1949) 56–64.Google Scholar
[4]Hocking, G. C., “Cusp-like free surface flows due to a submerged source or sink in the presence of a flat or slopping bottom”, J. Austral. Math. Soc. Ser. B 26 (1985) 470–486.CrossRefGoogle Scholar
[5]Kao, T. W., “Free-streamline theory for inviscid stratified flow into a line sink”, Phys. Fluids 13 (1970) 558–564.CrossRefGoogle Scholar
[6]Richardson, A. R., “Stationary waves in water”, Philos. Mag. 40 (1920) 79–110.CrossRefGoogle Scholar
[7]Tuck, E. O. and Vanden-Broeck, J.-M., “A cusp-like free-surface flow due to a submerged source or sink”, J. Austral. Math. Soc. Ser. B 25 (1984) 443–450.CrossRefGoogle Scholar
[8]Vanden-Broeck, J.-M. and Keller, J. B., “Free surface flow due to a sink”,J. Fluid Mech. 175 (1987) 109–117.CrossRefGoogle Scholar
[9]Yih, C.-S., “On the flow of a stratified fluid”, Proc. 3rd U.S. Nat. Congr. Mech. (1958) 857–861.Google Scholar
[10]Yih, C.-S., “Exact solutions for steady two-dimensional flow of a stratified fluid”,J. Fluid Mech. 9 (1960) 161–174.CrossRefGoogle Scholar
[11]Yih, C.-S., “A Class of solutions for steady stratified flows”, J. Fluid Mech. 36 (1969) 75–86.CrossRefGoogle Scholar