Selective Withdrawal of Two-Layer Stratified Flows with a Point Sink
Publication: Journal of Hydraulic Engineering
Volume 141, Issue 7
Abstract
The selective withdrawal of two-layer stratified flows with a point sink was investigated, considering the effect of the boundary. An analytical expression was developed for predicting the incipient Froude number as a function of the distance from the sink to the boundary (scaled by the distance from the sink and the interface). The effect of the boundary becomes significant when the relative distance is less than 2. The incipient Froude number reduces to 1.27 from 2.54 as the point sink approaches to the reservoir bottom. An analytical expression for computing the discharge ratio when both the layers withdraw was formulated and the velocity within each layer can be predicted. The analytical results were compared with the computational fluid dynamics (CFD) results. The CFD solver can successfully model velocities and the interface position in a selective withdrawal scenario for two-layer stratified flows.
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Acknowledgments
The research reported in this paper was funded by the Natural Science and Engineering Research Council (NSERC) and Alberta Ingenuity Fund.
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Published In
Journal of Hydraulic Engineering
Volume 141 • Issue 7 • July 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jun 26, 2013
Accepted: Jan 9, 2015
Published online: Feb 24, 2015
Published in print: Jul 1, 2015
Discussion open until: Jul 24, 2015
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