TECHNICAL PAPERS
Nov 1, 1995

Geometrically Simple Logarithmic Weir

Publication: Journal of Irrigation and Drainage Engineering
Volume 121, Issue 6

Abstract

This paper discusses the design and experimental verification of a geometrically simple logarithmic weir. The weir consists of an inward trapezoidal weir of slope 1 horizontal to n vertical, or 1 in n, over two sectors of a circle of radius R and depth d, separated by a distance 2 t . The weir parameters are optimized using a numerical optimization algorithm. The discharge through this weir is proportional to the logarithm of head measured above a fixed reference plane for all heads in the range 0.23 R ≤ h ≤ 3.65 R within a maximum deviation of ±2% from the theoretical discharge. Experiments with two weirs show excellent agreement with the theory by giving a constant average coefficient of discharge of 0.62. The application of this weir to the field of irrigation, environmental, and chemical engineering is highlighted.

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References

1.
Banks, R. B. (1954). “A note on generalized weir equation.”Paper HP 0654, Dept. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
2.
Chandrasekaran, D., and Lakshmana Rao, N. S.(1970). “The universalisation of the co-ordinates of logarithmic profiles.”J. Hydr. Res., 8(4), 395–402.
3.
Cowgill, A. P.(1944). “Mathematics of weir forms.”Quarterly of Appl. Math., 2(2), 142–147.
4.
Govinda Rao, N. S., and Keshava Murthy, K.(1966). “On the design of logarithmic weirs.”J. Hydr. Res., 4(1), 51–59.
5.
Keshava Murthy, K., and Giridhar, D. P.(1989). “Inverted V-notch: a practical proportional weir.”J. Irrig. Drain. Engrg., ASCE, 115(6), 1035–1050.
6.
Keshava Murthy, K., and Gopalakrishna Pillai, K.(1978). “Modified proportional V-notch weirs.”J. Hydr. Div., ASCE, 104(5), 775–791.
7.
Keshava Murthy, K., and Seshagiri, N.(1968). “A generalised mathematical theory and experimental verification of proportional notches.”J. Franklin Inst., 285(5), 347–363.
8.
Troskolanski, A. T. (1960). Hydrometry: theory and practice of hydraulic measurements. Pergamon Press, Inc., Elmsford, N.Y., 301–302.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 121Issue 6November 1995
Pages: 419 - 426

History

Published online: Nov 1, 1995
Published in print: Nov 1995

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Authors

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K. Keshava Murthy
Prof., Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore—560 012, India.
H. S. Ramesh
Res. Fellow, Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore—560 012, India.
M. N. Shesha Prakash
Res. Fellow, Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore—560 012, India.

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