Closure to “Minimum Specific Energy and Critical Flow Conditions in Open Channels” by Hubert Chanson

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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Half-Round Circular Crested Weir: On Hysteresis, Instabilities, and Head–Discharge Relationship

Chanson

2020

J. Irrig. Drain Eng.

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Closure to “Minimum Specific Energy and Critical Flow Conditions in Open Channels” by Hubert Chanson

Cited by 3 publications

References 5 publications

Visualization of Specific Energy for Open Channel Flow in Three Dimensions

Visualization of Specific Energy for Open Channel Flow in Three Dimensions

Bernoulli Theorem, Minimum Specific Energy, and Water Wave Celerity in Open-Channel Flow

Half-Round Circular Crested Weir: On Hysteresis, Instabilities, and Head–Discharge Relationship

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