Optimal volume selection of air vessels in long-distance water supply systems

The use of air vessels is an effective measure to control water hammers, and its volume selection has a certain blindness. This paper aims to reveal the surge wave characteristics and provide design guidelines for air vessels in long-distance water supply systems. First, the analytical formulas of w...

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Autores principales:	Lin Shi, Jian Zhang, Xiao-dong Yu, Xing-tao Wang, Xu-yun Chen, Zhe-xin Zhang
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	air vessel analytical formula long-distance water supply optimization water-level oscillation Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350
Acceso en línea:	https://doaj.org/article/96f894d8a30e4879b4898f3c21b5d5ad
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spelling	oai:doaj.org-article:96f894d8a30e4879b4898f3c21b5d5ad2021-11-05T17:19:38ZOptimal volume selection of air vessels in long-distance water supply systems2709-80282709-803610.2166/aqua.2021.079https://doaj.org/article/96f894d8a30e4879b4898f3c21b5d5ad2021-11-01T00:00:00Zhttp://aqua.iwaponline.com/content/70/7/1053https://doaj.org/toc/2709-8028https://doaj.org/toc/2709-8036The use of air vessels is an effective measure to control water hammers, and its volume selection has a certain blindness. This paper aims to reveal the surge wave characteristics and provide design guidelines for air vessels in long-distance water supply systems. First, the analytical formulas of water-level oscillations in the air vessel are derived based on the Krylov–Bogoliubov–Mitropolsky method. Then, an optimization model is constructed for selecting the optimal volume of the air vessels. Finally, the validation of the analytical formulas and the optimization of the model are conducted through two actual projects. The results show that the calculation error of the analytical formulas can be controlled within a very small range, and the process of selecting air vessel volume can be simplified with the provided model. In addition, increasing the air chamber height within its range can reduce the volume of air vessels with the same protection requirements. The optimization analysis results of the air vessel can provide guidance and reference for the design of actual projects. HIGHLIGHTS The analytical formulas for water-level oscillations considering pipe friction are derived.; The volume optimization model can preliminarily estimate the minimum volume of the air vessel.; Under the same protection requirements, the volume of air vessels decreases with the increase of air chamber height.;Lin ShiJian ZhangXiao-dong YuXing-tao WangXu-yun ChenZhe-xin ZhangIWA Publishingarticleair vesselanalytical formulalong-distance water supplyoptimizationwater-level oscillationEnvironmental technology. Sanitary engineeringTD1-1066Environmental sciencesGE1-350ENAqua, Vol 70, Iss 7, Pp 1053-1065 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	air vessel analytical formula long-distance water supply optimization water-level oscillation Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350
spellingShingle	air vessel analytical formula long-distance water supply optimization water-level oscillation Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350 Lin Shi Jian Zhang Xiao-dong Yu Xing-tao Wang Xu-yun Chen Zhe-xin Zhang Optimal volume selection of air vessels in long-distance water supply systems
description	The use of air vessels is an effective measure to control water hammers, and its volume selection has a certain blindness. This paper aims to reveal the surge wave characteristics and provide design guidelines for air vessels in long-distance water supply systems. First, the analytical formulas of water-level oscillations in the air vessel are derived based on the Krylov–Bogoliubov–Mitropolsky method. Then, an optimization model is constructed for selecting the optimal volume of the air vessels. Finally, the validation of the analytical formulas and the optimization of the model are conducted through two actual projects. The results show that the calculation error of the analytical formulas can be controlled within a very small range, and the process of selecting air vessel volume can be simplified with the provided model. In addition, increasing the air chamber height within its range can reduce the volume of air vessels with the same protection requirements. The optimization analysis results of the air vessel can provide guidance and reference for the design of actual projects. HIGHLIGHTS The analytical formulas for water-level oscillations considering pipe friction are derived.; The volume optimization model can preliminarily estimate the minimum volume of the air vessel.; Under the same protection requirements, the volume of air vessels decreases with the increase of air chamber height.;
format	article
author	Lin Shi Jian Zhang Xiao-dong Yu Xing-tao Wang Xu-yun Chen Zhe-xin Zhang
author_facet	Lin Shi Jian Zhang Xiao-dong Yu Xing-tao Wang Xu-yun Chen Zhe-xin Zhang
author_sort	Lin Shi
title	Optimal volume selection of air vessels in long-distance water supply systems
title_short	Optimal volume selection of air vessels in long-distance water supply systems
title_full	Optimal volume selection of air vessels in long-distance water supply systems
title_fullStr	Optimal volume selection of air vessels in long-distance water supply systems
title_full_unstemmed	Optimal volume selection of air vessels in long-distance water supply systems
title_sort	optimal volume selection of air vessels in long-distance water supply systems
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/96f894d8a30e4879b4898f3c21b5d5ad
work_keys_str_mv	AT linshi optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems AT jianzhang optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems AT xiaodongyu optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems AT xingtaowang optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems AT xuyunchen optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems AT zhexinzhang optimalvolumeselectionofairvesselsinlongdistancewatersupplysystems
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Optimal volume selection of air vessels in long-distance water supply systems

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