Minimum specific energy and transcritical flow in unsteady open-channel flow

Castro-Orgaz, Oscar and Chanson, Hubert (2016) Minimum specific energy and transcritical flow in unsteady open-channel flow. Journal of Irrigation and Drainage Engineering, 142 1: 04015030.1-04015030.12. doi:10.1061/(ASCE)IR.1943-4774.0000926

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Author Castro-Orgaz, Oscar
Chanson, Hubert
Title Minimum specific energy and transcritical flow in unsteady open-channel flow
Journal name Journal of Irrigation and Drainage Engineering   Check publisher's open access policy
ISSN 0733-9437
1943-4774
Publication date 2016
Year available 2015
Sub-type Article (original research)
DOI 10.1061/(ASCE)IR.1943-4774.0000926
Open Access Status File (Author Post-print)
Volume 142
Issue 1
Start page 04015030.1
End page 04015030.12
Total pages 12
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Collection year 2016
Language eng
Formatted abstract
The study and computation of free surface flows is of paramount importance in hydraulic and irrigation engineering. These flows are computed using mass and momentum conservation equations, their solutions exhibiting special features depending on whether the local Froude number (F) is below or above unity, thereby resulting in wave propagation in the upstream and downstream directions or only in the downstream direction, respectively. This dynamic condition is referred to in the literature as critical flow and is fundamental to the study of unsteady flows. Critical flow is also defined as the state at which the specific energy and momentum reach a minimum, based on steady-state computations, and it is further asserted that the backwater equation gives infinite free surface slopes at control sections. So far, these statements were not demonstrated within the context of an unsteady flow analysis, to be conducted in this paper for the first time. It is demonstrated that the effects of unsteadiness break down critical flow as a generalized open-channel flow concept, and correct interpretations of critical flow, free surface slopes at controls, minimum specific energy, and momentum are given within the context of general unsteady-flow motion in this paper.
Keyword Critical flow
Unsteady flow
Transcritical flow
Open channel flow
Minimum specific energy
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes The full bibliographic details are: CASTRO-ORGAZ, O., and CHANSON, H. (2016). "Minimum Specific Energy and Transcritical Flow in Unsteady Open-Channel Flow." Journal of Irrigation and Drainage Engineering, ASCE, Vol. 142, No. 1, Paper 04015030, 12 pages (DOI: 10.1061/(ASCE)IR.1943-4774.0000926) (ISSN 0733-9437 [Print]; ISSN: 1943-4774 [online]). The deposit is a preprint.

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2016 Collection
 
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Created: Thu, 17 Dec 2015, 19:00:32 EST by Hubert Chanson on behalf of School of Civil Engineering