Stage-Discharge Rating Equation for an Elliptical Sharp-Crested Weir
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Volume 140, Issue 6
Abstract
A new elliptical sharp-crested weir was developed to address discharge, pollution, and maintenance concerns associated with detention ponds. The elliptical weir was specifically designed to decrease the time and cost associated with clearing debris following storm events. A Froude-scale physical model was constructed and stage-discharge data were collected to analyze the stage-discharge relationship of the new weir. A total of 45 steady-state tests were conducted encompassing nine unique weir geometric configurations. The ellipse ratio varied from 12 to 16, and the gap width varied from 1.5 to 9.1 mm (0.005 to 0.030 ft). Empirical power-regression coefficients were determined for each of the configurations. Also, a theoretical rating equation was derived for the elliptical weir and a discharge coefficient of 0.642 was determined from analyzing the physical-model data. Trapezoidal integral approximation was used to develop an explicit approximate solution for the theoretical rating equation. By using the trapezoidal integral approximation, measured discharges were predicted with a mean absolute percent error of 3.55% for the data set, excluding discharges lower than (0.10 cfs).
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References
Bos, M. G., ed. (1989). “Discharge measurement structures.” Publication 20, 3rd Ed., Working Group on Small Hydraulic Structures, International Institute for Land Reclamation and Improvement (ILRI), Wageningen, Netherlands, 401.
Coleman, H. W., and Steele, W. G. (1999). Experimentation and uncertainty analysis for engineers, 2nd Ed., Wiley, New York.
Emerson, C. H., Welty, C., and Traver, R. G. (2005). “Watershed-scale evaluation of a system of stormwater detention basins.” J. Hydrol. Eng., 237–242.
Federal Highway Administration (FHWA). (2009). “Urban drainage design manual.” Hydraulic Engineering Circular No. 22, Publication No. FHWA-NHI-10-009, S. A. Brown, J. D. Schall, J. L. Morris, C. L. Doherty, S. M. Stein, and J. C. Warner, eds., 3rd Ed., U.S. National Technical Information Service, Springfield, VA, 4-11–4-47.
Ferguson, B. K. (1991). “Urban stream reclamation.” J. Soil Water Conser., 46(5), 324–328.
Flynn, K. M., Linkous, B. W., and Buechter, M. T. (2012). “Operation and maintenance assessment for structural stormwater BMPs.” World Environmental and Water Resources Congress 2012, ASCE, Reston, VA, 3662–3673.
Galuzzi, M. R., and Pflaum, J. M. (1996). “Integrating drainage, water quality, wetlands, and habitat in a planned community development.” J. Urban Plann. Dev., 101–108.
Hong, Y.-M. (2008). “Numerical simulation of laboratory experiments in detention pond routing with long rainfall duration.” Int. J. Sediment Res., 23(3), 233–248.
Horton, R. E. (1906). “Weir experiments, coefficients, and formulas.”, Dept. of the Interior, U.S. Geological Survey, Washington, DC.
Hoyt, S., and Brown, T. (2005). “Stormwater pond and wetland maintenance concerns and solutions.” Proc., World Water and Environmental Resources Congress 2005: Impacts of Global Climate Change, ASCE, Reston, VA, 1–12.
Igathinathane, C., Srikanth, I., Prakash, K., Ramesh, B., and Womac, A. R. (2007). “Development of parabolic weirs for simplified discharge measurement.” Biosyst. Eng., 96(1), 111–119.
Jeffrey, A. (1995). Handbook of mathematical formulas and integrals, 1st Ed., Academic Press, San Diego.
Jones, J. E., and Jones, D. E., Jr. (1984). “Essential urban detention ponding consideration.” J. Water Resour. Plann. Manage., 418–433.
Julien, P. Y. (2002). River mechanics, Cambridge University Press, New York, NY.
LabVIEW [Computer software]. Austin, TX, National Instruments.
Lindsey, G., Roberts, L., and Page, W. (1992). “Maintenance of stormwater BMPs in four Maryland counties: A status report.” J. Soil Water Conser., 47(5), 417–422.
Maplesoft. (2013). “Maple online help–Definite and indefinite integration.” Waterloo Maple, 〈http://www.maplesoft.com/support/help/Maple/view.aspx?path=int〉 (Mar. 14, 2013).
Murthy, K., and Prakash, M. (1995). “Alternative design of square-rooting measuring device in open channel.” J. Irrig. Drain. Eng., 374–377.
Roesner, L. A., Bledsoe, B. P., and Brashear, R. W. (2001). “Are best-management practice criteria really environmentally friendly?” J. Water Resour. Plann. Manage., 150–154.
Singh, N. P., Yadav, S. M., and Singh, R. (2010). “Behavior of sharp crested weirs of various curvilinear shapes.” Proc., 13th Asian Congress of Fluid Mechanics, The Chinese Society of Theoretical and Applied Mechanics, Beijing, China, 617–620.
Urban Drainage and Flood Control District (UDFCD). (2010). “Urban storm drainage: Criteria manual, Vol. 3—Best management practices.” Denver, 〈http://www.udfcd.org/downloads/pdf/critmanual/Volume%203%20PDFs/USDCM%20Volume%203.pdf〉 (Feb. 11, 2013).
Vatankhah, A. R. (2012). “Head-discharge equation for sharp-crested weir with piecewise-linear sides.” J. Irrig. Drain. Eng., 1011–1018.
Wahlin, B., Wahl, T., Gonzalez-Castro, J. A., Fulford, J., and Robeson, M. (2005). “Task Committee on Experimental Uncertainty and Measurement Errors in Hydraulic Engineering: An update.” Proc., World Water Environment and Resources Congress 2005: Impacts Global Climate Change, ASCE, Reston, VA, 1–12.
Whipple, W., Jr., and Hunter, J. V. (1981). “Settleability of urban runoff pollution.” J. Water Pollut. Contr. Fed., 53(12), 1726–1731.
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© 2014 American Society of Civil Engineers.
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Received: Jun 29, 2013
Accepted: Jan 20, 2014
Published online: Mar 10, 2014
Published in print: Jun 1, 2014
Discussion open until: Aug 10, 2014
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