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Predicting Discharge Coefficient of Rectangular Broad-Crested Gabion Weir Using M5 Tree Model

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Iranian Journal of Science and Technology, Transactions of Civil Engineering Aims and scope Submit manuscript

Abstract

Currently made alternative structures from loose stones, gabion weirs are preferred with respect to solid concrete weirs formerly used in the past. By being more stable and flexible, gabion weirs have great advantage over their rigid (impervious) counterparts. The aim of this study was to investigate the overflow and through flow in rectangular broad-crested gabion weirs in order to evaluate the discharge coefficient C d. Eight physical models of broad-crested gabion weirs with four different porosities were made. The results of the experiments revealed that C d tended to be 20% less in submerged flow than in free flow. In addition, the average values of C d in both free and submerged flow were 0.66 and 0.53, respectively. Though increasing the gabion porosity led to an increase in C d, this amount became less and less with higher discharge values. M5 tree model as a sub-technique of data mining used to model C d values is capable of constructing tree-based piecewise linear equations for continuous datasets. The results showed that M5 tree model presents 12 linear equations for both free and submerged flows with R and RMSE of 0.95 and 0.036, respectively.

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Abbreviations

B :

Weir width

d 50 :

Mean stone size used in gabion construction

Fr :

Froude number = \(\frac{q}{{\sqrt g H_{1}^{1.5} }}\)

G :

Acceleration due to gravity

H 1 :

Water depth in upstream of the weir measured from weir crest

H 2 :

Water depth in downstream of the weir measured from weir crest

L :

Weir length

n :

Porosity of gabion materials

P :

Weir height

Q :

Discharge

q :

Discharge per unit width

Re :

Reynolds number

S r :

Submergence ration = H 2/H 1

ρ :

Fluid density

μ :

Dynamic viscosity of the fluid (water)

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Authors and Affiliations

  1. Department of Water Engineering, Faculty of Agriculture, University of Tabriz, Tabriz, Iran

    Farzin Salmasi & M. Taghi Sattari

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  1. Farzin Salmasi
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  2. M. Taghi Sattari
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Correspondence to Farzin Salmasi.

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Salmasi, F., Sattari, M.T. Predicting Discharge Coefficient of Rectangular Broad-Crested Gabion Weir Using M5 Tree Model. Iran J Sci Technol Trans Civ Eng 41, 205–212 (2017). https://doi.org/10.1007/s40996-017-0052-5

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  • DOI: https://doi.org/10.1007/s40996-017-0052-5

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