Bernoulli theorem, minimum specific energy and water wave celerity in open channel flow

Castro-Orgaz, Oscar and Chanson, Hubert (2009) Bernoulli theorem, minimum specific energy and water wave celerity in open channel flow. Journal of Irrigation and Drainage Engineering, ASCE, 135 6: 773-778.

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Author Castro-Orgaz, Oscar
Chanson, Hubert
Title Bernoulli theorem, minimum specific energy and water wave celerity in open channel flow
Journal name Journal of Irrigation and Drainage Engineering, ASCE  (ERA 2012 Listed)    (ERA 2010 Rank A)   Check publisher's open access policy
Publication date 2009-11
Sub-type Article
Year available 2009
DOI 10.1061/(ASCE)IR.1943-4774.0000084
Volume number 135
Issue number 6
ISSN 0733-9437 (print) 1943-4774 (online)
Start page 773
End page 778
Total pages 6
Editor William Ritter
Place of publication New York , U.S.A
Publisher American Society of Civil Engineers, Irrigation and Drainage Division
Collection year 2010
Language eng
Subject 090509 Water Resources Engineering
970109 Expanding Knowledge in Engineering
C1
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.
Keyword Open Channel Flow
critical flow conditions
Weirs
Flumes
Water waves
Q-Index Code C1
Q-Index Status Confirmed Code
Additional Notes The full bibliographic details are: CASTRO-ORGAZ, O, and CHANSON, H. (2009). "Bernoulli Theorem, Minimum Specific Energy and Water Wave Celerity in Open Channel Flow." Journal of Irrigation and Drainage Engineering, ASCE, Vol. 135, No. 6, pp. 773-778 (DOI: http://dx.doi.org/10.1061/(ASCE)IR.1943-4774.0000084) (ISSN 0733-9437).

 
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Created: Wed, 25 Nov 2009, 06:45:12 EST by Hubert Chanson on behalf of School of Civil Engineering