Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data

Korean river design standards set general design standards for rivers and river-related projects in Korea, which systematize the technologies and methods involved in river-related projects. This includes measurement methods for parts necessary for river design, but does not include information on sh...

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Autores principales:	Yeon-Moon Choo, Hae-Seong Jeon, Jong-Cheol Seo
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	entropy shear stress distribution Shannon’s theory Korean river design standards Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/85fb384dd0b1468f9ee8907e4d922af3
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spelling	oai:doaj.org-article:85fb384dd0b1468f9ee8907e4d922af32021-11-25T17:30:48ZEntropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data10.3390/e231115401099-4300https://doaj.org/article/85fb384dd0b1468f9ee8907e4d922af32021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1540https://doaj.org/toc/1099-4300Korean river design standards set general design standards for rivers and river-related projects in Korea, which systematize the technologies and methods involved in river-related projects. This includes measurement methods for parts necessary for river design, but does not include information on shear stress. Shear stress is one of the factors necessary for river design and operation. Shear stress is one of the most important hydraulic factors used in the fields of water, especially for artificial channel design. Shear stress is calculated from the frictional force caused by viscosity and fluctuating fluid velocity. Current methods are based on past calculations, but factors such as boundary shear stress or energy gradient are difficult to actually measure or estimate. The point velocity throughout the entire cross-section is needed to calculate the velocity gradient. In other words, the current Korean river design standards use tractive force and critical tractive force instead of shear stress because it is more difficult to calculate the shear stress in the current method. However, it is difficult to calculate the exact value due to the limitations of the formula to obtain the river factor called the tractive force. In addition, tractive force has limitations that use an empirically identified base value for use in practice. This paper focuses on the modeling of shear-stress distribution in open channel turbulent flow using entropy theory. In addition, this study suggests a shear stress distribution formula, which can easily be used in practice after calculating the river-specific factor T. The tractive force and critical tractive force in the Korean river design standards should be modified by the shear stress obtained by the proposed shear stress distribution method. The present study therefore focuses on the modeling of shear stress distribution in an open channel turbulent flow using entropy theory. The shear stress distribution model is tested using a wide range of forty-two experimental runs collected from the literature. Then, an error analysis is performed to further evaluate the accuracy of the proposed model. The results reveal a correlation coefficient of approximately 0.95–0.99, indicating that the proposed method can estimate shear-stress distribution accurately. Based on this, the results of the distribution of shear stress after calculating the river-specific factors show a correlation coefficient of about 0.86 to 0.98, which suggests that the equation can be applied in practice.Yeon-Moon ChooHae-Seong JeonJong-Cheol SeoMDPI AGarticleentropyshear stress distributionShannon’s theoryKorean river design standardsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1540, p 1540 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	entropy shear stress distribution Shannon’s theory Korean river design standards Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	entropy shear stress distribution Shannon’s theory Korean river design standards Science Q Astrophysics QB460-466 Physics QC1-999 Yeon-Moon Choo Hae-Seong Jeon Jong-Cheol Seo Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
description	Korean river design standards set general design standards for rivers and river-related projects in Korea, which systematize the technologies and methods involved in river-related projects. This includes measurement methods for parts necessary for river design, but does not include information on shear stress. Shear stress is one of the factors necessary for river design and operation. Shear stress is one of the most important hydraulic factors used in the fields of water, especially for artificial channel design. Shear stress is calculated from the frictional force caused by viscosity and fluctuating fluid velocity. Current methods are based on past calculations, but factors such as boundary shear stress or energy gradient are difficult to actually measure or estimate. The point velocity throughout the entire cross-section is needed to calculate the velocity gradient. In other words, the current Korean river design standards use tractive force and critical tractive force instead of shear stress because it is more difficult to calculate the shear stress in the current method. However, it is difficult to calculate the exact value due to the limitations of the formula to obtain the river factor called the tractive force. In addition, tractive force has limitations that use an empirically identified base value for use in practice. This paper focuses on the modeling of shear-stress distribution in open channel turbulent flow using entropy theory. In addition, this study suggests a shear stress distribution formula, which can easily be used in practice after calculating the river-specific factor T. The tractive force and critical tractive force in the Korean river design standards should be modified by the shear stress obtained by the proposed shear stress distribution method. The present study therefore focuses on the modeling of shear stress distribution in an open channel turbulent flow using entropy theory. The shear stress distribution model is tested using a wide range of forty-two experimental runs collected from the literature. Then, an error analysis is performed to further evaluate the accuracy of the proposed model. The results reveal a correlation coefficient of approximately 0.95–0.99, indicating that the proposed method can estimate shear-stress distribution accurately. Based on this, the results of the distribution of shear stress after calculating the river-specific factors show a correlation coefficient of about 0.86 to 0.98, which suggests that the equation can be applied in practice.
format	article
author	Yeon-Moon Choo Hae-Seong Jeon Jong-Cheol Seo
author_facet	Yeon-Moon Choo Hae-Seong Jeon Jong-Cheol Seo
author_sort	Yeon-Moon Choo
title	Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
title_short	Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
title_full	Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
title_fullStr	Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
title_full_unstemmed	Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data
title_sort	entropy-based shear stress distribution in open channel for all types of flow using experimental data
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/85fb384dd0b1468f9ee8907e4d922af3
work_keys_str_mv	AT yeonmoonchoo entropybasedshearstressdistributioninopenchannelforalltypesofflowusingexperimentaldata AT haeseongjeon entropybasedshearstressdistributioninopenchannelforalltypesofflowusingexperimentaldata AT jongcheolseo entropybasedshearstressdistributioninopenchannelforalltypesofflowusingexperimentaldata
_version_	1718412235213111296

Entropy-Based Shear Stress Distribution in Open Channel for All Types of Flow Using Experimental Data

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