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A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows

Open-channel with branches makes the channel flow more complex and difficult to analyse due to the complex variables and a large number of geometric properties related to the junction. The aim of this paper is to employ the mathematical model to investigate the relationship between discharge, Froude...

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Main Authors: Harmizi P.N.S., Zawawi I.S.M., Haniffah M.R.M., Khairudin T.K.A., Aris H.
Other Authors: 57963557600
Format: Conference Paper
Published: Springer Science and Business Media Deutschland GmbH 2024
Subjects:
Bed width
Dividing flow
Flowrate ratio
Froude number
Open-channel
Open channel flow
Complex variable
Discharge ratio
Dividing flows
Geometric properties
Input values
Open channels
Open-channel flow
Width ratio
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spelling my.uniten.dspace-346472024-10-14T11:21:24Z A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows Harmizi P.N.S. Zawawi I.S.M. Haniffah M.R.M. Khairudin T.K.A. Aris H. 57963557600 55671668500 57193212028 57195980045 13608397500 Bed width Dividing flow Flowrate ratio Froude number Open-channel Open channel flow Bed width Complex variable Discharge ratio Dividing flows Flowrate ratio Geometric properties Input values Open channels Open-channel flow Width ratio Froude number Open-channel with branches makes the channel flow more complex and difficult to analyse due to the complex variables and a large number of geometric properties related to the junction. The aim of this paper is to employ the mathematical model to investigate the relationship between discharge, Froude number and bed width in the dividing open-channel flow. Several assumptions have been made and input values are taken from the literature to solve the proposed model. Results indicated that the highest discharge ratio is obtained when the dividing angle at channel 2 is The discharge ratio slightly increases as the Froude number decreases for all angles. However, the Froude number of subcritical flows had a significant effect on the bed width ratio. For angles 30�, 45�, 60� and 75�, the discharge ratio decreases when the bed width ratio increases, but it remains unchanged when the angle is 90�. In conclusion, there is a linear relationship between discharges, Froude number and bed width ratio at certain dividing angles. � 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Final 2024-10-14T03:21:24Z 2024-10-14T03:21:24Z 2023 Conference Paper 10.1007/978-981-19-5947-9_15 2-s2.0-85141837143 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141837143&doi=10.1007%2f978-981-19-5947-9_15&partnerID=40&md5=01d964ec814c05b8f59e262497d0c13e https://irepository.uniten.edu.my/handle/123456789/34647 293 177 185 Springer Science and Business Media Deutschland GmbH Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic Bed width
Dividing flow
Flowrate ratio
Froude number
Open-channel
Open channel flow
Bed width
Complex variable
Discharge ratio
Dividing flows
Flowrate ratio
Geometric properties
Input values
Open channels
Open-channel flow
Width ratio
Froude number
spellingShingle Bed width
Dividing flow
Flowrate ratio
Froude number
Open-channel
Open channel flow
Bed width
Complex variable
Discharge ratio
Dividing flows
Flowrate ratio
Geometric properties
Input values
Open channels
Open-channel flow
Width ratio
Froude number
Harmizi P.N.S.
Zawawi I.S.M.
Haniffah M.R.M.
Khairudin T.K.A.
Aris H.
A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
description Open-channel with branches makes the channel flow more complex and difficult to analyse due to the complex variables and a large number of geometric properties related to the junction. The aim of this paper is to employ the mathematical model to investigate the relationship between discharge, Froude number and bed width in the dividing open-channel flow. Several assumptions have been made and input values are taken from the literature to solve the proposed model. Results indicated that the highest discharge ratio is obtained when the dividing angle at channel 2 is The discharge ratio slightly increases as the Froude number decreases for all angles. However, the Froude number of subcritical flows had a significant effect on the bed width ratio. For angles 30�, 45�, 60� and 75�, the discharge ratio decreases when the bed width ratio increases, but it remains unchanged when the angle is 90�. In conclusion, there is a linear relationship between discharges, Froude number and bed width ratio at certain dividing angles. � 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
author2 57963557600
author_facet 57963557600
Harmizi P.N.S.
Zawawi I.S.M.
Haniffah M.R.M.
Khairudin T.K.A.
Aris H.
format Conference Paper
author Harmizi P.N.S.
Zawawi I.S.M.
Haniffah M.R.M.
Khairudin T.K.A.
Aris H.
author_sort Harmizi P.N.S.
title A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
title_short A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
title_full A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
title_fullStr A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
title_full_unstemmed A Mathematical Study of the Relation Between Discharges, Froude Number, Bed Width in Dividing Open Channel Flows
title_sort mathematical study of the relation between discharges, froude number, bed width in dividing open channel flows
publisher Springer Science and Business Media Deutschland GmbH
publishDate 2024
_version_ 1814061189347409920
score 13.222552

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