Depth-averaged specific energy in open-channel flow and analytical solution for critical irrotational flow over weirs

Castro-Orgaz, Oscar and Chanson, Hubert (2014) Depth-averaged specific energy in open-channel flow and analytical solution for critical irrotational flow over weirs. Journal of Irrigation and Drainage Engineering, 140 1: 1-8. doi:10.1061/(ASCE)IR.1943-4774.0000666

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Author Castro-Orgaz, Oscar
Chanson, Hubert
Title Depth-averaged specific energy in open-channel flow and analytical solution for critical irrotational flow over weirs
Journal name Journal of Irrigation and Drainage Engineering   Check publisher's open access policy
ISSN 0733-9437
1943-4774
Publication date 2014-01-01
Year available 2013
Sub-type Article (original research)
DOI 10.1061/(ASCE)IR.1943-4774.0000666
Open Access Status File (Author Post-print)
Volume 140
Issue 1
Start page 1
End page 8
Total pages 8
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Formatted abstract
Free surface flow in open-channel transitions is characterized by distributions of velocity and pressure that deviate from uniform and hydrostatic conditions, respectively. Under such circumstances the widely used expressions in textbooks [e.g., E=h+U2/(2g) and hc=(q2/g)1/3] are not valid to investigate the changes in velocity and depth. A depth-averaged form of the Bernoulli equation for ideal fluid flows introduces correction coefficients to account for the real velocity and pressure distributions into the specific energy equation. The behavior of these coefficients in curvilinear motion at and in the neighbourhood of control sections was not documented in the literature. Herein detailed two-dimensional ideal fluid flow computations are used to characterize the entire velocity and pressure fields in typical channel controls involving transcritical flow, namely the round-crested weir, the transition from mild to steep slope and the free overfall. The detailed two-dimensional ideal fluid flow solution is used to study the behavior of the depth-averaged coefficients, and a novel generalized specific energy diagram is introduced using universal coordinates. The development is used to pursue a simplified critical flow theory for curved flow, relevant to water discharge measurement with circular weirs.
Keyword Critical flow conditions
Ideal fluid flow theory
Open channels
Water discharge measurements
Weirs
Hydraulic engineering
Hydraulic structures
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published: 28 October 2013

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2014 Collection
 
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Created: Wed, 18 Dec 2013, 10:15:47 EST by Hubert Chanson on behalf of School of Civil Engineering