Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel

Open-channel with dividing flow refers to any side water withdrawals from streams, rivers or main channel. It has become an important issue, especially when measuring the flow rate and depth of water as part of environmental management schemes and many practical projects such as irrigation and drain...

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Published in:Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Main Author: Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
Format: Article
Language:English
Published: Semarak Ilmu Publishing 2023
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174547376&doi=10.37934%2farfmts.108.2.98109&partnerID=40&md5=f81cc589900f326b2069da885aa74e89
id 2-s2.0-85174547376
spelling 2-s2.0-85174547376
Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
2023
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
108
2
10.37934/arfmts.108.2.98109
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174547376&doi=10.37934%2farfmts.108.2.98109&partnerID=40&md5=f81cc589900f326b2069da885aa74e89
Open-channel with dividing flow refers to any side water withdrawals from streams, rivers or main channel. It has become an important issue, especially when measuring the flow rate and depth of water as part of environmental management schemes and many practical projects such as irrigation and drainage systems, water and wastewater treatment plants, and other water resources projects. Although the behavior of water flow has been studied by previous researchers, most studies have only been carried out in simulation and lab experiments for a straight prismatic main channel. The mathematical research has not yet been fully understood, particularly in relation to the behavior of water flow. Therefore, in this study, the modified general equations of dividing open-channel flow for rectangular and trapezoidal in the form of non-linear polynomial equations are proposed to determine the upstream flow depth in rectangular and trapezoidal cross-sectional channels. The computations of water flow depth influenced by Froude number and discharge ratio are performed with the Newton-Raphson procedure in Maple software. The numerical solution shows good agreement with the experimental data as reported in the literature. When the discharge ratio is low, the flow depth in trapezoidal and rectangular channels exhibits similarity. However, as the discharge ratio increases, the flow depth in the rectangular channel surpasses that in the trapezoidal channel. Furthermore, as the Froude number increases, the rectangular channel experiences a greater flow depth in comparison to the trapezoidal channel. © 2023, Semarak Ilmu Publishing. All rights reserved.
Semarak Ilmu Publishing
22897879
English
Article
All Open Access; Hybrid Gold Open Access
author Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
spellingShingle Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
author_facet Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
author_sort Harmizi P.N.S.; Zakaria S.A.A.; Zawawi I.S.M.; Haniffah M.R.M.
title Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
title_short Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
title_full Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
title_fullStr Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
title_full_unstemmed Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
title_sort Numerical Analysis on the Flow Depth Behaviour in Dividing Open-Channel for Trapezoidal and Rectangular Cross-Sectional Channel
publishDate 2023
container_title Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
container_volume 108
container_issue 2
doi_str_mv 10.37934/arfmts.108.2.98109
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174547376&doi=10.37934%2farfmts.108.2.98109&partnerID=40&md5=f81cc589900f326b2069da885aa74e89
description Open-channel with dividing flow refers to any side water withdrawals from streams, rivers or main channel. It has become an important issue, especially when measuring the flow rate and depth of water as part of environmental management schemes and many practical projects such as irrigation and drainage systems, water and wastewater treatment plants, and other water resources projects. Although the behavior of water flow has been studied by previous researchers, most studies have only been carried out in simulation and lab experiments for a straight prismatic main channel. The mathematical research has not yet been fully understood, particularly in relation to the behavior of water flow. Therefore, in this study, the modified general equations of dividing open-channel flow for rectangular and trapezoidal in the form of non-linear polynomial equations are proposed to determine the upstream flow depth in rectangular and trapezoidal cross-sectional channels. The computations of water flow depth influenced by Froude number and discharge ratio are performed with the Newton-Raphson procedure in Maple software. The numerical solution shows good agreement with the experimental data as reported in the literature. When the discharge ratio is low, the flow depth in trapezoidal and rectangular channels exhibits similarity. However, as the discharge ratio increases, the flow depth in the rectangular channel surpasses that in the trapezoidal channel. Furthermore, as the Froude number increases, the rectangular channel experiences a greater flow depth in comparison to the trapezoidal channel. © 2023, Semarak Ilmu Publishing. All rights reserved.
publisher Semarak Ilmu Publishing
issn 22897879
language English
format Article
accesstype All Open Access; Hybrid Gold Open Access
record_format scopus
collection Scopus
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