[en] A hydraulic design equation for Piano Key Weirs is set up using the results of a large experimental parametric study. Comparison of the analytical formulation with experi-mental data from various physical modeling studies, considering idealized as well as real projects Piano Key Weirs configurations, shows a 15% accuracy in unit discharge prediction on a large range of geometric parameters values. Comparison of the proposed formulation to two other recently proposed equations highlights the importance to consider such analytical approaches inside the range of parameter values for which they have been validated.
Research center :
Aquapôle - ULiège
Disciplines :
Civil engineering
Author, co-author :
Machiels, Olivier
Dewals, Benjamin ; Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Archambeau, Pierre ; Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Pirotton, Michel ; Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Erpicum, Sébastien ; Université de Liège - ULiège > Scientifiques attachés au Doyen (Sc.appliquées)
Language :
English
Title :
An analytical approach for Piano Key weir hydraulic design
Alternative titles :
[en] Approche analytique pour le dimensionnement hydraulique des déversoirs en touches de piano
Publication date :
2014
Event name :
2nd Int. Work. on Labyrinth and Piano Key weirs - PKW 2013
Event organizer :
EDF LNHE et CIH, LCH-EPFL, HECE-ULg
Event place :
Paris (Chatou), France
Event date :
20-22 novembre 2013
Audience :
International
Main work title :
Labyrinth and Piano Key weirs II - PKW 2013
Main work alternative title :
[fr] Déversoirs en labyrinthe et en touches de piano II - PKW 2013
Editor :
Erpicum, Sébastien ; Université de Liège - ULiège > Urban and Environmental Engineering
Laugier, Frédéric
Pfister, Michael
Pirotton, Michel ; Université de Liège - ULiège > Urban and Environmental Engineering
Boursiquot, D. 2003. Compte-rendu des essais sur modèle physique. Report, P75/03/078, EDF R&D, LNHE Department, Chatou, France.
Erpicum, S., MacHiels, O., Archambeau, P., Dewals, B. & Pirotton, M. 2010. 1D numerical approach to model the flow over a Piano KeyWeir (PKW). Proceedings of SimHydro 2010, Nice. Paris: SHF.
Ho Ta Khanh, M., Sy Quat, D. & Xuan Thuy, D. 2011. P.K. Weirs under design and construction in Vietnam (2010). In Erpicum, S., Laugier, F., Boillat, J.-L., Pirotton, M., Reverchon, B. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2011, London: CRC Press, 225-232.
Kabiri-Samani, A. & Javaheri, A. 2012. Discharge coefficient for free and submerged flow over Piano Key weirs. Journal of Hydraulic Research, 50(1), 114-120.
Karelle, Y. 2008. Etude expérimentale du comportement hydraulique des déversoirs en touches de piano. Master thesis, University of Liège, Belgium.
Le Doucen, O., Leite Ribeiro, M., Boillat, J-L., Schleiss, A. & Laugier, F. 2009. Etude paramétrique de la capacité des PKW. Modèles physiques hydrauliques - Outils indispensables du XXIe siècle. Paris: SHF.
Leite Ribeiro, M., Boillat, J.-L. & Schleiss, A. 2011. Experimental parametric study for hydraulic design of PKWs. In Erpicum, S., Laugier, F., Boillat, J.-L., Pirotton, M., Reverchon, B. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2011, London: CRC Press, 183-190.
Leite Ribeiro, M., Pfister, M., Schleiss, A. & Boillat, J.-L. 2012. Hydraulic design of A-type Piano KeyWeirs. Journal of Hydraulic Research, 50(4), 400-408.
MacHiels, O. 2012. Experimental study of the hydraulic behavior of Piano Key Weirs. PhD thesis, HECE research unit, University of Liège, Belgium. http://hdl.handle.net/2268/128006.
MacHiels, O., Erpicum, S. & Pirotton, M. 2011. Barrage d'Ouldjet Mellegue (Algérie) - Etude hydraulique sur modèle physique. Rapport d'étude. Université de Liège, HACH: Liège. Not published.
Noel, D., MacHiels, O., Erpicum, S. & Pirotton, M. 2012. Aménagement de la Raviège - Modèle réduit hydraulique du barrage. Rapport d'étude. Université de Liège, HACH: Liège. Not published.
Ouamane, A. 2006. Essais réalisés à Biskra (Algérie) en mars 2006. Report, Univ. of Biskra, Algeria.
Pfister, M. & Schleiss, A. 2013. Estimation of A-type Piano Key weir rating curve. In Erpicum, S., Laugier, F., Pfister, M., Pirotton, M., Cicéro, G.M. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2013, London: CRC Press.
Pralong, J., Montarros, F., Blancher, B. & Laugier, F. 2011a. A sensitivity analysis of Piano Key Weirs geometrical parameters. In Erpicum, S., Laugier, F., Boillat, J.-L., Pirotton, M., Reverchon, B. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2011, London: CRC Press, 133-139.
Pralong, J., Vermeulen, J., Blancher, B., Laugier, F., Erpicum, S., MacHiels, O., Pirotton, M., Boillat, J.-L., Leite Ribeiro, M. & Schleiss, A.J. 2011b.A naming convention for the piano key weirs geometrical parameters. In Erpicum, S., Laugier, F., Boillat, J.-L., Pirotton, M., Reverchon, B. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2011, London: CRC Press, 271-278.
Swiss Society of Engineers and Architects, 1926, Contribution à l'étude des méthodes de jaugeage, Report of Swiss Bureau ofWater Ressources, Bulletin 18, Bern.
Truong Chi Hien & Huynh Hung, B.E. 2005. Report on P.K. weir model tests. Report, Ho Chi Minh University of Technology, Department ofWater resources engineering, Vietnam.
Truong Chi Hien & Ho Ta Khanh, M. 2007. Hydraulic model studies of the piano keys weir type B. Report, Ho Chi Minh University of Technology, Department ofWater resources engineering, Vietnam.
Vermeulen, J., Laugier, F., Faramond, L. & Gille, C. 2011. Lessons learnt from design and construction of EDF first Piano Key Weirs. In Erpicum, S., Laugier, F., Boillat, J.-L., Pirotton, M., Reverchon, B. and Schleiss, A.J. (Eds), Labyrinth and piano key weirs-PKW 2011, London: CRC Press, 215-224.
