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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Format: | Article |
Language: | English |
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Elsevier
2015-06-01
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Series: | Ain Shams Engineering Journal |
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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. |
first_indexed | 2024-12-22T00:48:55Z |
format | Article |
id | doaj.art-9193e3479803481e8259960c01930cb0 |
institution | Directory Open Access Journal |
issn | 2090-4479 |
language | English |
last_indexed | 2024-12-22T00:48:55Z |
publishDate | 2015-06-01 |
publisher | Elsevier |
record_format | Article |
series | Ain Shams Engineering Journal |
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 |