The Hysteresis and Shear Velocity in Unsteady Flows

The shear velocity is an important parameter in characterizing the shear at the boundary in open channels and there exist methods to estimate the shear velocity in steady flows, but the application and comparison of these methods to non-uniform unsteady flows is limited. In this study, three artific...

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Main Author: Gokcen Bombar
Format: Article
Language:English
Published: Isfahan University of Technology 2016-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=39395&issue_ID=225
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author Gokcen Bombar
author_facet Gokcen Bombar
author_sort Gokcen Bombar
collection DOAJ
description The shear velocity is an important parameter in characterizing the shear at the boundary in open channels and there exist methods to estimate the shear velocity in steady flows, but the application and comparison of these methods to non-uniform unsteady flows is limited. In this study, three artificial triangular-shaped hydrographs were generated where the base flow is non-uniform with fine sand bed and the shear velocity was obtained by the methods, u*SV by using the Saint-Venant equations, u*L by using the procedure given by Clauser Method, u*P by using the parabolic law, u*UN by using the momentum equation assuming the slope of energy grade line is equal to bed slope and u*avg by using the average velocity equation are used in this study. The stream-wise components of velocity time series and the velocity profiles were obtained by means of an acoustic Doppler velocity meter. The variation of the shear velocity and the constant for the parabolic law with time is discussed. It is concluded that the shear velocities found by the parabolic law and the average velocity equation can be used interchangeably. Furthermore a hysteresis intensity parameter is proposed in order to examine the depth variation of hysteretic behavior of depth variation both with point velocity and average velocity. It is revealed that the more the unsteady the hydrograph the more the hysteresis both in terms of point velocity and cross-sectional mean velocity.
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spelling doaj.art-43e2f3f75088407e8c3910ce8356ac0a2022-12-22T00:12:36ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-0192839853.The Hysteresis and Shear Velocity in Unsteady FlowsGokcen Bombar0Ege UniversityThe shear velocity is an important parameter in characterizing the shear at the boundary in open channels and there exist methods to estimate the shear velocity in steady flows, but the application and comparison of these methods to non-uniform unsteady flows is limited. In this study, three artificial triangular-shaped hydrographs were generated where the base flow is non-uniform with fine sand bed and the shear velocity was obtained by the methods, u*SV by using the Saint-Venant equations, u*L by using the procedure given by Clauser Method, u*P by using the parabolic law, u*UN by using the momentum equation assuming the slope of energy grade line is equal to bed slope and u*avg by using the average velocity equation are used in this study. The stream-wise components of velocity time series and the velocity profiles were obtained by means of an acoustic Doppler velocity meter. The variation of the shear velocity and the constant for the parabolic law with time is discussed. It is concluded that the shear velocities found by the parabolic law and the average velocity equation can be used interchangeably. Furthermore a hysteresis intensity parameter is proposed in order to examine the depth variation of hysteretic behavior of depth variation both with point velocity and average velocity. It is revealed that the more the unsteady the hydrograph the more the hysteresis both in terms of point velocity and cross-sectional mean velocity.http://jafmonline.net/JournalArchive/download?file_ID=39395&issue_ID=225Unsteady flow Shear velocity Hysteresis Velocity time series Parabolic law Clauser method Saint-Venant Equations.
spellingShingle Gokcen Bombar
The Hysteresis and Shear Velocity in Unsteady Flows
Journal of Applied Fluid Mechanics
Unsteady flow
Shear velocity
Hysteresis
Velocity time series
Parabolic law
Clauser method
Saint-Venant Equations.
title The Hysteresis and Shear Velocity in Unsteady Flows
title_full The Hysteresis and Shear Velocity in Unsteady Flows
title_fullStr The Hysteresis and Shear Velocity in Unsteady Flows
title_full_unstemmed The Hysteresis and Shear Velocity in Unsteady Flows
title_short The Hysteresis and Shear Velocity in Unsteady Flows
title_sort hysteresis and shear velocity in unsteady flows
topic Unsteady flow
Shear velocity
Hysteresis
Velocity time series
Parabolic law
Clauser method
Saint-Venant Equations.
url http://jafmonline.net/JournalArchive/download?file_ID=39395&issue_ID=225
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