Critical Depth Relations for Flow Measurement Design
Publication: Journal of Irrigation and Drainage Engineering
Volume 118, Issue 4
Abstract
Long-throated flumes and broad-crested weirs are becoming widely used for open-channel flow measurement, primarily because of their simplicity and numerical predictability. These flumes and weirs are constructed such that flow in the throat or crest is nearly parallel, i.e., no streamline curvature. Under these conditions, standard critical depth relationships apply (i.e., hydrostatic pressures). Design is based on determining the amount of contraction from the approach section to the throat that is needed to produce critical flow. The existing design procedure is to determine an acceptable contraction amount by trial and error. In this paper, mathematical relationships are developed for precisely determining the amount of contraction needed. These relationships are solved with a convergent-iterative procedure. Several new relationships for critical flow are also developed.
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References
1.
Bos, M. G. (1985). Long‐throated flumes and broad‐crested weirs. Martin Nijhoff/Dr. W. Junk Publishers, Dordrecht, The Netherlands.
2.
Bos, M. G., Replogle, J. A., and Clemmens, A. J. (1984). Flow measuring flumes for open channel systems. John Wiley&Sons, New York, N.Y.
3.
Bos, M. G., Clemmens, A. J., and Replogle, J. A. (1986). “Design of long‐throated structures for flow measurement.” Irrig. and Drain. Syst. Int. J., 1(1), 75–92.
4.
Clemmens, A. J., Replogle, J. A., and Bos, M. G. (1987a). Flume: A computer model for estimating flow through long‐throated measuring flumes. U.S. Dept. of Agr., Agric. Res. Serv., ARS‐57.
5.
Clemmens, A. J., Bos, M. G., and Replogle, J. A. (1987b). “Contraction ratios for weir and flume designs.” J. Irrig. and Drain. Engrg., ASCE, 113(3), 420–424.
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Copyright © 1992 ASCE.
History
Published online: Jul 1, 1992
Published in print: Jul 1992
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