Skip to main content
SpringerLink
Log in

Triangular Side Weir Discharge Coefficient Calculation and Comparison Using ANN

  • Original Article
  • Published:
INAE Letters Aims and scope Submit manuscript

Abstract

In this paper, the coefficient of discharge was calculated using Artificial Neural Network (ANN) for two triangular side weir models installed with flow direction and opposite to it. These values compared with that which calculated empirically using Rehbock formula, the variables affecting on this equation where found and analysis using Buckingham (pi-theory) to reduce to minimum variables affecting in side weir flow, the results shown that agreement between empirical method and that calculated using (ANN) with (MSE = 0.00113) and (R = 0.982).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Abbreviations

ANN:

Artificial Neural Network

b :

Width of branch channel (L)

B :

Width of main channel (L)

C d :

Discharge coefficient of side weir

C dn :

Discharge coefficient calculated by (ANN)

FFANN:

Feed Forward Artificial Neural Network

Fr :

Froude number

g :

Acceleration due to gravity (L/T2)

h :

Water height over side weir crest (L)

H :

Water height upstream standard weir (L)

l :

Length of side weir crest (L)

MLP:

Multilayer perceptron neural network

MSE:

Mean square error

P :

Weir height (L)

q :

Branch channel discharge (L3/T)

Q :

Main channel discharge (L3/T)

Q th :

Theoretical discharge in branch channel (L3/T)

Q TO :

Total discharge (L3/T)

R :

Correlation coefficient

RBF:

Radial basis formula neural network

Re :

Reynolds number

We :

Webber number

y :

Normal water depth in the main channel (L)

θ :

Apex angle of side weir

ρ :

Density of water (M/L3)

σ :

Surface tension (M/T2)

µ :

Viscosity of water (M/L T)

Reference

  • Abbas P, Amir HH. Prediction of side weir discharge coefficient by radial basis function neural network. MOJ Civil Eng. 2018;4(2):93–8.

    Article  Google Scholar 

  • Ahmed YM, Azza NA-T, Talal AB. Simulation of Flow Over The Side Weir Using Simulink 08/2013. Scientia Iranica. 2013;20(4):1094–100.

    Google Scholar 

  • Ahmed YM. Theoretical analysis of flow over the side weir using Runge Kutta method. Ann Fac Eng Hunedoara Int J Eng Ix. 2011;2:47–50.

    Google Scholar 

  • Ahmed YM. Numerical analysis of flow over side weir. J King Saud Univ Eng Sci. 2015;27:37–42. https://doi.org/10.1016/j.jksues.2013.03.004.

    Google Scholar 

  • AL-Omari NK (2011) Laboratory Study of the Effect of the Branching Angle and the Branching Channel Slope on Flow. M.Sc. water resources engineering ,Mosul university, Iraq

  • Azza NA-T. Flow Over Oblique Side weir. Damascus Univ J. 2012;28(1):5–22.

    Google Scholar 

  • Fausett L (1994) Fundamental of neural networks algorithms and applications. Prentice Hall in Snc

  • Gania H, Azza A-T, Mena A-S. Coefficient of discharge for labyrinthine side weir. AL Rafdain Eng J. 2012;20(4):38–49.

    Google Scholar 

  • Hana H, Mina A-S, Azza A-T (2012) Characteristics of flow over long sharp crested weir. In: First international conference in water resources engineering, College Of Engineering, University Of Technology, pp 33–40

  • Hana H, Mina A-S, Azza A-T (2014) Study of Water Surface Profile for Different Shapes of Side Weir. ANNALS OF FACULTY ENGINEERING HUNEDOARA. Int J Eng, Tome XII (2014). Fascicule 4, 245–254

  • Hazi MA, Amir HH, Abbas P. Prediction of side weir discharge coefficient by support vector machine technique. Water Sci Technol Water Supply. 2016;16(4):1002–16.

    Article  Google Scholar 

  • Hossein B, Amir HZ. New type side weir discharge coefficient simulation using three novel hybrid adaptive neuro-fuzzy inference systems. Appl Water Sci. 2018;8(10):1–15.

    Google Scholar 

  • Mwafaq YM, Ahmed YM. Discharge coefficient for an inclined side weir crest using a constant energy approach. Flow Meas Instrum. 2011;22(6):495–9.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dams and Water Resources Department, College of Engineering, University of Mosul, Mosul, Iraq

    Hana A. Hayawi, Azza N. Al-Talib & Noor I. Kattab

Authors
  1. Hana A. Hayawi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Azza N. Al-Talib
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Noor I. Kattab
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Azza N. Al-Talib.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hayawi, H.A., Al-Talib, A.N. & Kattab, N.I. Triangular Side Weir Discharge Coefficient Calculation and Comparison Using ANN. INAE Lett 4, 59–63 (2019). https://doi.org/10.1007/s41403-019-00066-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41403-019-00066-w

Keywords

Search

Navigation