Hydraulic jump on rough beds: conceptual modeling and experimental validation

The aim of this study was to assess and quantify the effect of channel bed roughness on hydraulic jumps based on sound physical theories. Assuming that integrated bed shear stress due to surface roughness changes linearly with supercritical velocity, a novel definition for the shear force coefficien...

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Main Authors: Umut Türker, Manousos Valyrakis
Format: Article
Language:English
Published: IWA Publishing 2021-06-01
Series:Water Supply
Subjects:
Online Access:http://ws.iwaponline.com/content/21/4/1423
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author Umut Türker
Manousos Valyrakis
author_facet Umut Türker
Manousos Valyrakis
author_sort Umut Türker
collection DOAJ
description The aim of this study was to assess and quantify the effect of channel bed roughness on hydraulic jumps based on sound physical theories. Assuming that integrated bed shear stress due to surface roughness changes linearly with supercritical velocity, a novel definition for the shear force coefficient and for roller length were obtained. Experimental findings and Pearson's correlation verify that the developed equations perform reasonably well and they prove that a linear correlation assumption between integrated bed shear stress and supercritical velocity is valid for a Froude number between 1.1 and 9.8. The shear force coefficient is defined in terms of the Reynolds coefficient and the supercritical flow velocity is directly related to the modified Reynolds number. A new analytical equation for roller length as a function of the modified Reynolds number was also developed and validated by using data from the experimental study. HIGHLIGHTS The tendency of the Reynolds coefficient to approach a fixed value increases as the modified Reynolds number increases.; The results of this study showed that the modified Reynolds number is important in roller length analysis and cannot be ignored.; Pearson's correlation analysis showed a significant positive linear correlation between integrated bed shear stress and upstream supercritical velocity.;
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spelling doaj.art-c155c34cdff74a9da24c68da12c5ce272022-12-21T19:59:58ZengIWA PublishingWater Supply1606-97491607-07982021-06-012141423143710.2166/ws.2020.292292Hydraulic jump on rough beds: conceptual modeling and experimental validationUmut Türker0Manousos Valyrakis1 Civil Engineering Department, Eastern Mediterranean University, Gazimağusa, North Cyprus, Mersin 10, Turkey Infrastructure and Environment Research Division, School of Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom The aim of this study was to assess and quantify the effect of channel bed roughness on hydraulic jumps based on sound physical theories. Assuming that integrated bed shear stress due to surface roughness changes linearly with supercritical velocity, a novel definition for the shear force coefficient and for roller length were obtained. Experimental findings and Pearson's correlation verify that the developed equations perform reasonably well and they prove that a linear correlation assumption between integrated bed shear stress and supercritical velocity is valid for a Froude number between 1.1 and 9.8. The shear force coefficient is defined in terms of the Reynolds coefficient and the supercritical flow velocity is directly related to the modified Reynolds number. A new analytical equation for roller length as a function of the modified Reynolds number was also developed and validated by using data from the experimental study. HIGHLIGHTS The tendency of the Reynolds coefficient to approach a fixed value increases as the modified Reynolds number increases.; The results of this study showed that the modified Reynolds number is important in roller length analysis and cannot be ignored.; Pearson's correlation analysis showed a significant positive linear correlation between integrated bed shear stress and upstream supercritical velocity.;http://ws.iwaponline.com/content/21/4/1423bed roughnesshydraulic jumpmodified reynolds numberroller lengthshear force coefficient
spellingShingle Umut Türker
Manousos Valyrakis
Hydraulic jump on rough beds: conceptual modeling and experimental validation
Water Supply
bed roughness
hydraulic jump
modified reynolds number
roller length
shear force coefficient
title Hydraulic jump on rough beds: conceptual modeling and experimental validation
title_full Hydraulic jump on rough beds: conceptual modeling and experimental validation
title_fullStr Hydraulic jump on rough beds: conceptual modeling and experimental validation
title_full_unstemmed Hydraulic jump on rough beds: conceptual modeling and experimental validation
title_short Hydraulic jump on rough beds: conceptual modeling and experimental validation
title_sort hydraulic jump on rough beds conceptual modeling and experimental validation
topic bed roughness
hydraulic jump
modified reynolds number
roller length
shear force coefficient
url http://ws.iwaponline.com/content/21/4/1423
work_keys_str_mv AT umutturker hydraulicjumponroughbedsconceptualmodelingandexperimentalvalidation
AT manousosvalyrakis hydraulicjumponroughbedsconceptualmodelingandexperimentalvalidation