Stage-Discharge Relationships of Broad Crested Weir for submerged Flow Condition Utilizing Incomplete Self-Similarity(ISS) Technique

Authors

  • Rawaa Toama Wasit University
  • Mohammed S. Shamkhi Civil engineering department, Wasit University, Wasit, Iraq

DOI:

https://doi.org/10.31185/ejuow.Vol10.Iss2.250

Keywords:

Broad-crested weir,rounded edge , dimensional analysis, incomplete self-similarity method(ISS).

Abstract

Abstract

A broad-crested weir is one of the simplest and oldest hydraulic structures.It was used to measure flow regulate flow depth and control flood passage. Open channel flow measurement requirements are based on the experiments performed to evaluate the empirical discharge coefficients and equations. The aim of this study is to develop the stage-discharge relationships using incomplete self-similarity theory and traditional methods for calculating the discharge coefficient (Cds) and to determine which method is the most effective. All experiments were carried out in a channel  with a cross-section of (0.5 × 0.5) m and a length of 15 m. 125 experiments were carried out on 25 physical models of a broad crested weir with a rounded edge, under submerged flow conditions. The results showed, after comparing the two methods, and by calculating the mean absolute relative error (MARE) for discharges . It is equal to (4.25%) using the incomplete self-similarity theory, and it is equal to (7.05) by using the traditional method. Thus, the incomplete self-similarity formula is more accurate than the other method.

Downloads

Download data is not yet available.

References

Fritz, H. M., and Hager, W. H. (1998). Hydraulics of embankment weirs. Journal of Hydraulic Engineering, 124(9), 963-971.‏

Herschy, R. W. (1995). Streamflow measurement. Second Edition, E and FN Spon, an Imprint of Chapman and Haii, London, UK.

Ramamurthy, A. S., Tim, U. S., and Rao, M. V. J. (1988). Characteristics of square-edged and round-nosed broad-crested weirs. Journal of Irrigation and Drainage Engineering, 114(1), 61-73.‏

Wu, S., and Rajaratnam, N. (1996). Submerged flow regimes of rectangular sharp-crested weirs. Journal of Hydraulic Engineering, 122(7), 412-414.‏

Bos, M. G. (1989). Discharge measurement structures. Third Revised Edition, International Institute for land Reclamation and Improvement /ILRI.

Nikolov, N. A., Minkov, I. N., Dimitrov, D. K., Mincheva, S. K., and Mirchev, M. A. (1978). Hydraulic calculation of a submerged broad-crested weir. Hydrotechnical Construction, 12(6), 631-634

Villemonte, J. R. (1947). Submerged weir discharge studies. Engineering News Record, 139(26), 54-56.

Azimi, A. H., Rajaratnam, N., and Zhu, D. Z. (2014). Submerged flows over rectangular weirs of finite crest length. Journal of Irrigation and Drainage Engineering, 140(5), 06014001.

Ferro, V. (2011). A new solution of the stage-discharge relationship for sharp-crested and broad weir. Italia Forestale e Montana, 66(2), 127-139.‏

Di Stefano, C., and Ferro, V. (2013). A new approach for deducing the stage-discharge relationship of triangular in plan sharp-crested weirs. Flow Measurement and Instrumentation, 32, 71-75.

Hakim, S. S., & Azimi, A. H. (2017). Hydraulics of submerged triangular weirs and weirs of finite-crest length with upstream and downstream ramps. Journal of Irrigation and Drainage Engineering, 143(8), 06017008.‏Dabling, M. R., and Tullis, B. P. (2012). Piano key weir submergence in channel applications. Journal of Hydraulic Engineering, 138(7), 661-666.‏

Dabling, M. R., and Tullis, B. P. (2012). Piano key weir submergence in channel applications. Journal of Hydraulic Engineering, 138(7), 661-666.‏

Zachoval, Z., Major, J., Roušar, L., Rumann, J., Šulc, J., and Jandora, J. (2019). Submergence coefficient of full-width sharp-edged broad-crested rectangular weirs. Journal of Hydrology and Hydromechanics, 67(4), 329-338.

Vanishree, B. R., and Manjula, R. (2018). Analysis of various parameters affecting weir design and fabrication of weirs: An overview. MATEC Web of Conferences, 144, 01006.

Shamkhi, M.; Hafudh, A.; Qais, H.; and Amer, R. (2019). Froude number data analysis and its implications on local scour. 12th International Conference on Developments in eSystems Engineering (DeSE). Kazan, Russia, 315-320.

ASTM International Designation. (2014). Standard guide for selection of weirs and flumes for open- channel measurement of water. United States.

Barenblatt, G. I. (1979). Similarity, self-similarity and intermediate asymptotics. Consultants Bureau, New York.

Barenblatt, G. I. (1987). Dimensional analysis. Gordon and Breach, Science Publishers, Amsterdam, Netherlands.

Downloads

Published

2022-07-07

How to Cite

Toama, R., & Shamkhi, M. S. (2022). Stage-Discharge Relationships of Broad Crested Weir for submerged Flow Condition Utilizing Incomplete Self-Similarity(ISS) Technique. Wasit Journal of Engineering Sciences, 10(2), 146–156. https://doi.org/10.31185/ejuow.Vol10.Iss2.250