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 Matem. Mod., 2018, Volume 30, Number 6, paper published in the English version journal (Mi mm4089)

Papers published in the English version of the journal

Turbulent flow in the vicinity of side weirs in subcritical conditions

Hamed Azimia, Saeid Shabanloub, Saeid Kardarc

a Department of Ñivil Engineering, Razi University, Kermanshah, Iran-Water and Wastewater Research Center, Razi University, Kermanshah, Iran
b Department of Water Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
c Department of Environmental Engineering, College of Environment and Energy, Science and Research Branch, Islamic Azad University, Tehran, Iran

Abstract: Side weirs are installed on the main channels wall in sewage disposal systems and irrigation networks to divert the flow. In this paper, the flow pattern in rectangular channels along a side weir is predicted using the Volume of Fluid (VOF) scheme and the standard $k-\varepsilon$ and RNG $k-\varepsilon$ turbulence models. A comparison between the numerical and experimental results shows the high accuracy of the numerical model. For example, the values of root mean square error (RMSE), mean absolute relative error (MARE) and correlation coefficient (R) for the lateral velocity on $z = 0.183$ m level are calculated 3.782, 0.399 and 0.993, respectively. According to the simulation results, as the flow approaches to the side weir plane the flow field pressure decreases suddenly and at the end of the side weir the pressure increases. Also, by advancing the flow towards the downstream of the side weir the turbulent kinetic energy of the flow within the rectangular channel decreases. For all levels, the turbulent length scale value suddenly increases by reaching the flow to the end of the side weir.

Keywords: flow field turbulence, side weir, pressure, subcritical flow, rectangular channel.

English version:
Mathematical Models and Computer Simulations, 2018, 10:6, 784–797

Language:

Citation: Hamed Azimi, Saeid Shabanlou, Saeid Kardar, “Turbulent flow in the vicinity of side weirs in subcritical conditions”, Math. Models Comput. Simul., 10:6 (2018), 784–797

Citation in format AMSBIB
\Bibitem{AziShaKar18} \by Hamed~Azimi, Saeid~Shabanlou, Saeid~Kardar \paper Turbulent flow in the vicinity of side weirs in subcritical conditions \jour Math. Models Comput. Simul. \yr 2018 \vol 10 \issue 6 \pages 784--797 \mathnet{http://mi.mathnet.ru/mm4089} \crossref{https://doi.org/10.1134/S2070048219010083} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056824820}