Using Numerical Modeling to Correct Flow Rates for Submerged Montana Flumes
Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 7
Abstract
A Parshall flume is a common device for measuring open-channel flows. Some Parshall flumes, however, have been modified or constructed without a downstream diverging section. A Parshall flume that does not have its divergent section is known as a Montana flume. Both physical modeling and computational fluid dynamics (CFD), or numerical modeling, have been utilized to assess the accuracy of and calibrate Montana flumes. Montana flumes under free-flow conditions operate similarly to Parshall flumes and, therefore, share the same rating curves. However, Montana flumes that operate under submerged conditions can deviate by as much as 15% from equations used to correct the submerged Parshall flume flow rate. The research summarized in this paper illustrates comparable results between numerical and physical modeling tests performed on a 6-in. (15.2-cm) submerged Montana flume. In addition, with the numerical model calibrated to the physical model, the same numerical procedure is used to expand testing to other sized Montana flumes under submergence. Accordingly, nine sizes of Montana flumes are numerically simulated between 6 in. (15.2 cm) and 8 ft (2.44 m). Subsequently, correction factors are created in each case for each Montana flume under submerged conditions and the application of the factors is demonstrated.
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References
Blaisdell, F. W. (1994). “Results of Parshall flume tests.” J. Irrig. Drain. Eng., 120(2), 278–291.
Bos, M. G. (1978). Discharge measurement structures, 2nd Ed., Publication 20, International Institute for Land Reclamation and Improvement/ILRI, Wageningen, The Netherlands.
Davis, S. (1963). “Unification of Parshall flume data.” Trans. ASCE, 128(3), 399–411.
Dooge, R. A. (1963). “Discussion of ‘Unification of Parshall flume data’ by Davis.” Trans. ASCE, 128(3), 412–418.
FLOW-3D version 9.4 [Computer software]. Flow Science, Santa Fe, NM.
Hirt, C. W. (1992). “Volume-fraction techniques: Powerful tools for flow modeling.”, Flow Science, Santa Fe, NM.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys., 39(1), 201–225.
Hirt, C. W., and Sicilian, J. M. (1985). “A porosity technique for the definition of obstacles in rectangular cell meshes.” Proc., 4th Int. Conf. Ship Hydrology, National Academy of Science, Washington, DC.
Hirt, C. W., and Williams, K. A. (1994). “Flow-3D predictions for free discharge and submerged Parshall flumes.”, Flow Science, Santa Fe, NM.
Parshall, R. L. (1936)., Agricultural Experiment Station, Colorado Agricultural College, Fort Collins, CO.
Robinson, A. R. (1965). “Simplified flow corrections for Parshall flumes under submerged conditions.” Civ. Eng. ASCE, 25(9), 75.
Skogerboe, G. V., Hyatt, M. L., England, J. D., and Johnson, J. R. (1967). “Design and calibration of submerged open channel flow measurement structures. II: Parshall flumes.”, Utah Water Research Laboratory, Utah State Univ., Logan, UT.
Torres, A. F., and Merkley, G. P. (2008). “Cutthroat measurement flume calibration for free and submerged flow using a single equation.” J. Irrig. Drain. Eng., 134(4), 521–526.
U.S. Bureau of Reclamation (USBR). (2001). Water measurement manual, 3rd Ed., U.S. Dept. of the Interior, U.S. Government Printing Office, Washington, DC.
Wright, S. J., and Taheri, B. (1991). “Correction to Parshall flume calibrations at low discharges.” J. Irrig. Drain. Eng., 117(5), 800–804.
Yakhot, V., and Orszag, S. A. (1986). “Renormalization group analysis of turbulence. I: Basic theory.” J. Sci. Comput., 1(1), 3–51.
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© 2013 American Society of Civil Engineers.
History
Received: Mar 9, 2012
Accepted: Jan 9, 2013
Published online: Jan 11, 2013
Published in print: Jul 1, 2013
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