Article (Scientific journals)
Flow at an Ogee Crest Axis for a Wide Range of Head Ratios: Theoretical Model
Stilmant, Frédéric; Erpicum, Sébastien; Peltier, Yann et al.
2022In Water, 14 (15), p. 2337
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Keywords :
Water Science and Technology; Aquatic Science; Geography, Planning and Development; Biochemistry
Abstract :
[en] The discharge coefficient of an ogee crest is a function of the ratio of the effective head to the design head. The purpose of the present study is to derive a theoretical model of this relation, which does not depend on empirical coefficients and whose predictions over a wide range of head ratios are accurate enough for practical use. The developments consider unsubmerged ogee crests without approach flow or lateral contraction effects, heads large enough to enable surface tensions to be neglected, and heads small enough to avoid flow separation. The method is based on potential flow theory, depth integration in a curvilinear reference frame, and critical flow theory. The characteristics of the crest shape are defined by the trajectory of a free jet passing over the crest at the design head. The dimensionless equations show that the position of the critical section is not at the apex of the crest. Nevertheless, they also suggest an approximate equation at the apex of the crest from which the discharge coefficient is derived, together with the local water depth, velocity, and pressure distribution. The results compare well with experimental data for head ratios between 0 and 5, which validates the underlying assumptions of the theoretical model.
Research center :
UEE - Urban and Environmental Engineering - ULiège
Disciplines :
Civil engineering
Author, co-author :
Stilmant, Frédéric ;  Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Erpicum, Sébastien  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Peltier, Yann ;  Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Archambeau, Pierre  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Dewals, Benjamin  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Pirotton, Michel  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Language :
English
Title :
Flow at an Ogee Crest Axis for a Wide Range of Head Ratios: Theoretical Model
Publication date :
28 July 2022
Journal title :
Water
eISSN :
2073-4441
Publisher :
MDPI AG
Volume :
14
Issue :
15
Pages :
2337
Peer reviewed :
Peer Reviewed verified by ORBi
Development Goals :
11. Sustainable cities and communities
Available on ORBi :
since 01 August 2022

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