Modern vision for critical flow in an egg-shaped section

The critical regime plays a primordial role in the study of gradually varying flows by classifying flow regimes and slopes. Through this work, a new approach is proposed to analyze critical flow regime in an egg-shaped channel. Based on both the definition of Froude number and Achour and Bedjaoui ge...

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Autores principales:	Hachemi Rachedi Lamia, Lakehal Moussa, Achour Bachir
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	critical flow egg-shaped conduit froude number normal flow rate flow slope Environmental technology. Sanitary engineering TD1-1066
Acceso en línea:	https://doaj.org/article/5980524962fe4d59a38d4a064d0aa052
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id	oai:doaj.org-article:5980524962fe4d59a38d4a064d0aa052
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spelling	oai:doaj.org-article:5980524962fe4d59a38d4a064d0aa0522021-11-06T11:18:10ZModern vision for critical flow in an egg-shaped section0273-12231996-973210.2166/wst.2021.274https://doaj.org/article/5980524962fe4d59a38d4a064d0aa0522021-08-01T00:00:00Zhttp://wst.iwaponline.com/content/84/4/840https://doaj.org/toc/0273-1223https://doaj.org/toc/1996-9732The critical regime plays a primordial role in the study of gradually varying flows by classifying flow regimes and slopes. Through this work, a new approach is proposed to analyze critical flow regime in an egg-shaped channel. Based on both the definition of Froude number and Achour and Bedjaoui general discharge relationship, a relation between critical and normal depths is derived and then graphically represented for the particular case of a smooth channel characterized by a generating diameter equal to 1 m. The results show the influence of the slope on the frequency of occurrence of the critical regime. At the same time and independently of the flow rate, a very advantageous approach for the calculation of the Froude number has been proposed. The study shows that there are six zones to differentiate the various flow states, namely: on the one hand for steep slopes two subcritical zones interspersed by a supercritical zone and on the other hand for mild slopes a zone corresponding to uniform flow, an area where the flow is probably gradually varied and finally an area where the flow is abruptly varied. Based on the specific energy equation, a validation process concluded that the proposed relationships were reliable. HIGHLIGHTS Determination of the frequency of occurrence of the critical regime.; The nature of the flow regime can be deduced from the value of the slope.; New theoretical approach for the study of the critical regime in an egg-shaped conduit considered as a form with several advantages.; The Froude number can be determined independently of the flow rate. Establishment of an abacus to define the flow domain including non-uniform flows.;Hachemi Rachedi LamiaLakehal MoussaAchour BachirIWA Publishingarticlecritical flowegg-shaped conduitfroude numbernormal flowrate flowslopeEnvironmental technology. Sanitary engineeringTD1-1066ENWater Science and Technology, Vol 84, Iss 4, Pp 840-850 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	critical flow egg-shaped conduit froude number normal flow rate flow slope Environmental technology. Sanitary engineering TD1-1066
spellingShingle	critical flow egg-shaped conduit froude number normal flow rate flow slope Environmental technology. Sanitary engineering TD1-1066 Hachemi Rachedi Lamia Lakehal Moussa Achour Bachir Modern vision for critical flow in an egg-shaped section
description	The critical regime plays a primordial role in the study of gradually varying flows by classifying flow regimes and slopes. Through this work, a new approach is proposed to analyze critical flow regime in an egg-shaped channel. Based on both the definition of Froude number and Achour and Bedjaoui general discharge relationship, a relation between critical and normal depths is derived and then graphically represented for the particular case of a smooth channel characterized by a generating diameter equal to 1 m. The results show the influence of the slope on the frequency of occurrence of the critical regime. At the same time and independently of the flow rate, a very advantageous approach for the calculation of the Froude number has been proposed. The study shows that there are six zones to differentiate the various flow states, namely: on the one hand for steep slopes two subcritical zones interspersed by a supercritical zone and on the other hand for mild slopes a zone corresponding to uniform flow, an area where the flow is probably gradually varied and finally an area where the flow is abruptly varied. Based on the specific energy equation, a validation process concluded that the proposed relationships were reliable. HIGHLIGHTS Determination of the frequency of occurrence of the critical regime.; The nature of the flow regime can be deduced from the value of the slope.; New theoretical approach for the study of the critical regime in an egg-shaped conduit considered as a form with several advantages.; The Froude number can be determined independently of the flow rate. Establishment of an abacus to define the flow domain including non-uniform flows.;
format	article
author	Hachemi Rachedi Lamia Lakehal Moussa Achour Bachir
author_facet	Hachemi Rachedi Lamia Lakehal Moussa Achour Bachir
author_sort	Hachemi Rachedi Lamia
title	Modern vision for critical flow in an egg-shaped section
title_short	Modern vision for critical flow in an egg-shaped section
title_full	Modern vision for critical flow in an egg-shaped section
title_fullStr	Modern vision for critical flow in an egg-shaped section
title_full_unstemmed	Modern vision for critical flow in an egg-shaped section
title_sort	modern vision for critical flow in an egg-shaped section
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/5980524962fe4d59a38d4a064d0aa052
work_keys_str_mv	AT hachemirachedilamia modernvisionforcriticalflowinaneggshapedsection AT lakehalmoussa modernvisionforcriticalflowinaneggshapedsection AT achourbachir modernvisionforcriticalflowinaneggshapedsection
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Modern vision for critical flow in an egg-shaped section

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