New Analytical Formulation of De Marchi’s Model for a Zero-Height Side Weir
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 141, Issue 12
Abstract
One-dimensional modeling is often used to simulate the hydrodynamics of free-surface flows, including spatially varied flows as encountered along side weirs. This paper deals with the particular case of a side weir with a zero-height crest acting on fixed bed and subcritical flow, for which a new analytical model is formulated starting from De Marchi’s hypothesis. The proposed model provides an original interpretation of the side weir problem, for which the solution, formulated in dimensionless form in terms of average flow and geometrical variables of the side weir and main channel, is the explicit result of the imposed boundary conditions at the upstream and downstream cross sections. The proposed model appears to be able to analyze a wide range of hydraulic problems similar to the side weir flow, such as lateral diversions, and to solve design and verification problems as first approximation. The analytical model is used to predict experimental data coming from literature as well as from a new set of laboratory data in a very direct way without any need of numerical techniques.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The results presented in this paper are part of the Ph.D. thesis of the author (Michelazzo 2014), which was jointly supervised by Prof. E. Paris (University of Florence) and by Prof. H. Oumeraci (University of Braunschweig) within the International Course of Research Doctorate “Mitigation of Risk due to Natural Hazards on Structures and Infrastructures.”
References
Awasthy, S. C. (1970). “Hydraulic behavior of side weirs.” Master’s thesis, Indian Institute of Technology, Kanpur, India.
Borghei, S. M., Jalili, M. R., and Ghodsian, M. (1999). “Discharge coefficient for sharp-crested side weirs in subcritical flow.” J. Hydraul. Eng., 1051–1056.
Cheong, H. F. (1991). “Discharge coefficient of lateral diversion from trapezoidal channel.” J. Irrig. Drain. Eng., 461–475.
De Marchi, G. (1934). “Saggio di teoria del funzionamento degli stramazzi laterali.” L’Energia Elettrica, 11(11), 849–860.
Durga Rao, K. H. V., and Pillai, C. R. S. (2008). “Study of flow over side weirs under supercritical conditions.” Water. Resour. Manage., 22(1), 131–143.
Emiroglu, M. E., Agaccioglu, H., and Kaya, N. (2011). “Discharging capacity of rectangular side weirs in straight open channels.” Flow Meas. Instrum., 22(4), 319–330.
Hager, W. H. (1987). “Lateral outflow over side weirs.” J. Hydraul. Eng., 491–504.
Hsu, C. C., Tang, C. J., Lee, W. J., and Shieh, M. Y. (2002). “Subcritical 90° equal-width open-channel dividing flow.” J. Hydraul. Eng., 716–720.
Lee, K. L., and Holley, E. R. (2002). “Physical modeling for side-channel weirs.”, Center for Research in Water Resources, Univ. of Texas, Austin, TX.
Li, C. W., and Zeng, C. (2009). “3D numerical modelling of flow divisions at open channel junctions with or without vegetation.” Adv. Water Resour., 32(1), 49–60.
May, R. W. P., Bromwich, B. C., Gasowski, Y., and Rickard, C. E. (2003). Hydraulic design of side weirs, Thomas Telford, London, 133.
Michelazzo, G. (2014). “River levee breaching: analytical flow modelling and experimental hydro-morphodynamic investigations.” Ph.D. dissertation, Univ. of Florence, Florence, Italy.
Montes, S. (1998). Hydraulics of open channel flow, ASCE, Reston, VA.
Namaee, M. R., Jalaledini, M. S., Habibi, M., Yazdi, S. R. S., and Azar, M. G. (2013). “Discharge coefficient of a broad crested side weir in an earthen channel.” Water Sci. Technol. Water Supply, 13(1), 166–177.
Neary, V. S., and Odgaard, A. J. (1993). “Three-dimensional flow structure at open channel diversions.” J. Hydraul. Eng., 1223–1230.
Neary, V. S., Sotiropoulos, F., and Odgaard, A. J. (1999). “Three-dimensional numerical model of lateral-intake inflows.” J. Hydraul. Eng., 126–140.
Oliveto, G., Biggiero, V., and Fiorentino, M. (2001). “Hydraulic features of supercritical flow along prismatic side weirs.” J. Hydraul. Res., 39(1), 73–82.
Paris, E., Solari, L., and Bechi, G. (2012). “Applicability of the De Marchi hypothesis for side weir flow in the case of movable beds.” J. Hydraul. Eng., 653–656.
Ranga Raju, K. G., Prasad, B., and Gupta, S. K. (1979). “Side weir in rectangular channel.” J. Hydraul. Div., 105(5), 547–554.
Rosier, B. (2007). “Interaction of a side weir overflow with bed-load transport and bed morphology in a channel.” Ph.D. thesis, Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.
Singh, R., Manivannan, D., and Satyanarayana, T. (1994). “Discharge coefficient of rectangular side weirs.” J. Irrig. Drain. Eng., 814–819.
Subramanya, K., and Awasthy, S. C. (1972). “Spatially varied flow over side-weirs.” J. Hydraul. Div., 98(1), 1–10.
Vasquez, J. A. (2005). “Two-dimensional numerical simulation of flow diversions.” Proc., 17th Canadian Hydrotechnical Conf., Canadian Society for Civil Engineering (CSCE), Montréal.
Vatankhah, A. R. (2012a). “Analytical solution for water surface profile along a side weir in a triangular channel.” Flow Meas. Instrum., 23(1), 76–79.
Vatankhah, A. (2012b). “New solution method for water surface profile along a side weir in a circular channel.” J. Irrig. Drain. Eng., 948–954.
Vatankhah, A. R. (2013). “Water surface profiles along a rectangular side weir in a U-shaped channel (analytical findings).” J. Hydrol. Eng., 595–602.
Venutelli, M. (2008). “Method of solution of nonuniform flow with the presence of rectangular side weir.” J. Irrig. Drain. Eng., 840–846.
Zhou, J., and Zeng, C. (2009). “3-D hybrid LES-RANS model for simulation of open-channel T-diversion flows.” Water Sci. Eng., 2(3), 13–26.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 141 • Issue 12 • December 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jul 31, 2014
Accepted: Apr 6, 2015
Published online: Jun 17, 2015
Discussion open until: Nov 17, 2015
Published in print: Dec 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.