Power-law free overfall in subcritical flow regime

Free overfall can be used as a discharge measuring structure by a single measurement of end flow depth. Many theoretical and experimental studies carried out on free overfalls with different cross-section shape, different slope (mild and steep), and different roughness. However there is not any stud...

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Main Author: Ali R. Vatankhah
Format: Article
Language:English
Published: Elsevier 2015-06-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447914001518
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author Ali R. Vatankhah
author_facet Ali R. Vatankhah
author_sort Ali R. Vatankhah
collection DOAJ
description Free overfall can be used as a discharge measuring structure by a single measurement of end flow depth. Many theoretical and experimental studies carried out on free overfalls with different cross-section shape, different slope (mild and steep), and different roughness. However there is not any study for prismatic free overfalls with power-law cross section. This research presents a theoretical end-depth ratio (EDR) and a theoretical end depth-discharge (EDD) relationship for a free overfall located in a horizontal open channel with power-law section. The power-law section is a general section which reduces to the commonly used rectangular, parabolic, and triangular sections. Direct solutions are proposed by simulating the free overfall as a weir without crest in subcritical flow regime. Experimental and theoretical results are then used to verify the proposed relationships. The proposed relationships show excellent agreement with the experimental results.
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spelling doaj.art-9193e3479803481e8259960c01930cb02022-12-21T18:44:29ZengElsevierAin Shams Engineering Journal2090-44792015-06-016239940210.1016/j.asej.2014.10.013Power-law free overfall in subcritical flow regimeAli R. VatankhahFree overfall can be used as a discharge measuring structure by a single measurement of end flow depth. Many theoretical and experimental studies carried out on free overfalls with different cross-section shape, different slope (mild and steep), and different roughness. However there is not any study for prismatic free overfalls with power-law cross section. This research presents a theoretical end-depth ratio (EDR) and a theoretical end depth-discharge (EDD) relationship for a free overfall located in a horizontal open channel with power-law section. The power-law section is a general section which reduces to the commonly used rectangular, parabolic, and triangular sections. Direct solutions are proposed by simulating the free overfall as a weir without crest in subcritical flow regime. Experimental and theoretical results are then used to verify the proposed relationships. The proposed relationships show excellent agreement with the experimental results.http://www.sciencedirect.com/science/article/pii/S2090447914001518Free overfallPower-law sectionEnd depthDischarge relationship
spellingShingle Ali R. Vatankhah
Power-law free overfall in subcritical flow regime
Ain Shams Engineering Journal
Free overfall
Power-law section
End depth
Discharge relationship
title Power-law free overfall in subcritical flow regime
title_full Power-law free overfall in subcritical flow regime
title_fullStr Power-law free overfall in subcritical flow regime
title_full_unstemmed Power-law free overfall in subcritical flow regime
title_short Power-law free overfall in subcritical flow regime
title_sort power law free overfall in subcritical flow regime
topic Free overfall
Power-law section
End depth
Discharge relationship
url http://www.sciencedirect.com/science/article/pii/S2090447914001518
work_keys_str_mv AT alirvatankhah powerlawfreeoverfallinsubcriticalflowregime