Bernoulli Theorem, Minimum Specific Energy, and Water Wave Celerity in Open-Channel Flow
Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 6
Abstract
One basic principle of fluid mechanics used to resolve practical problems in hydraulic engineering is the Bernoulli theorem along a streamline, deduced from the work-energy form of the Euler equation along a streamline. Some confusion exists about the applicability of the Bernoulli theorem and its generalization to open-channel hydraulics. In the present work, a detailed analysis of the Bernoulli theorem and its extension to flow in open channels are developed. The generalized depth-averaged Bernoulli theorem is proposed and it has been proved that the depth-averaged specific energy reaches a minimum in converging accelerating free surface flow over weirs and flumes. Further, in general, a channel control with minimum specific energy in curvilinear flow is not isolated from water waves, as customary state in open-channel hydraulics.
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 6 • December 2009
Pages: 773 - 778
Copyright
© 2009 ASCE.
History
Received: May 26, 2008
Accepted: Feb 27, 2009
Published online: Mar 5, 2009
Published in print: Dec 2009
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