A New Approach to Estimate the Discharge Coefficient in Sharp-Crested Rectangular Side Orifices Using Gene Expression Pr
Structures, such as side orifices are used for controlling the flow within a diversion channel or for directing the flow into one. In this study, an equation for estimating discharge coefficient is introduced using “gene expression programming” (GEP). In
- PDF / 3,108,769 Bytes
- 20 Pages / 439.37 x 666.142 pts Page_size
- 96 Downloads / 143 Views
Quebec City, QC G1V0A6, Canada [email protected] 2 School of Engineering, University of Guelph, Guelph, ON NIG 2W1, Canada 3 Environmental Research Center, Razi University, Kermanshah, Iran
Abstract. Structures, such as side orifices are used for controlling the flow within a diversion channel or for directing the flow into one. In this study, an equation for estimating discharge coefficient is introduced using “gene expression programming” (GEP). In order to estimate the discharge coefficient, four dimensionless parameters including ratio of depth of flow in main channel to the width of rectangular orifice (Y m /L), Froude number (F r ), the ratio of sill height to the width of rectangular orifice (W/L) and the ratio of the width of the main channel to the width of the rectangular orifice (B/L) are used to present five different models. Therefore, the lacks of effect of each dimensionless parameter on the discharge coefficient predictions are reviewed. The results obtained from the carried out studies indicated that the best model presented in this study estimated the discharge coefficient fairly well with a relative error of 3% against experimental data. Keywords: Discharge coefficient · Gene Expression Programming (GEP) · Soft computing · Side orifice
1 Introduction Side orifices, side sluice gates and side weirs are diversion structures commonly installed on the side of the main channel to divert and control the flow into the diversion channel. This group of hydraulic structures is applied in open channels and can be used in wastewater treatment plants, land drainages, sedimentation tanks, aeration basins, irrigation systems, and flocculation units. The flow within main channels with diversion structures are gradually varied flows with decreasing discharge. 1.1 Related Works Numerous researches and studies have been carried out on diversion structures by various researchers. Ramamurthy et al. [1] were among the first who experimentally investigated © Springer Nature Switzerland AG 2020 K. Arai et al. (Eds.): SAI 2020, AISC 1230, pp. 77–96, 2020. https://doi.org/10.1007/978-3-030-52243-8_7
78
H. Bonakdari et al.
the diversion flow within rectangular side orifices. They presented an equation as a function of the length of the orifice, the width of the main channel and the ratio of the mean velocity in the main channel to the orifice output velocity to calculate discharge coefficient of side orifices in the side of the rectangular channels. Also, different researchers such as Oliveto et al. [2], Ghodsian [3], Kra and Merkley [4], Amaral et al. [5], Lewis et al. [6] have conducted studies on the features of the flow passing through diversion structures. Gill [7] studies the gradually varied flows passing through open channels which have relatively short side rectangular orifice. Swamee et al. [8] calculated the equation of elementary coefficient of discharge of sluice gates as a function of the depth of the flow within the main channel, the openness of the gate and Froude number of the input fl
Data Loading...
