New and improved hydraulic radius for channels of the second kind

The Manning’s equation is commonly used to calculate discharge and mean velocity of the uniform flows. According to experimental data, Manning’s equation with constant Manning’s coefficient overestimates the discharge of second-kind channels (channels with a closing top-width), under the partially f...

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Main Authors: Ali R. Vatankhah, S. Ghafari, A. Mahdavi Mazdeh
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915000295
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author Ali R. Vatankhah
S. Ghafari
A. Mahdavi Mazdeh
author_facet Ali R. Vatankhah
S. Ghafari
A. Mahdavi Mazdeh
author_sort Ali R. Vatankhah
collection DOAJ
description The Manning’s equation is commonly used to calculate discharge and mean velocity of the uniform flows. According to experimental data, Manning’s equation with constant Manning’s coefficient overestimates the discharge of second-kind channels (channels with a closing top-width), under the partially full flow. This problem can be solved by altering the Manning’s coefficient depending on the relative flow depth or changing the definition of the conventional hydraulic radius, that is, flow area divided by the wetted perimeter. Since, Manning’s coefficient theoretically depends only on the materials of the wall, so it seems that the second method is preferable. In current research a new and improved definition of hydraulic radius for closed conduits flowing partially full, is presented. This definition is efficient enough and provides powerful tool to determine the channel discharge and friction slope of uniform flow via Manning’s equation.
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spelling doaj.art-92553d9bd82f40438de23730d0b264772022-12-21T22:05:01ZengElsevierAin Shams Engineering Journal2090-44792015-09-016376777310.1016/j.asej.2015.02.003New and improved hydraulic radius for channels of the second kindAli R. Vatankhah0S. Ghafari1A. Mahdavi Mazdeh2Department of Irrigation and Reclamation Engineering, University College of Agriculture and Natural Resources, University of Tehran, P.O. Box 4111, Karaj 31587-77871, IranDepartment of Water Structures Engineering, Bualisina University, Hamedan, IranDepartment of Water Engineering, Imam Khomeini International University, Qazvin, IranThe Manning’s equation is commonly used to calculate discharge and mean velocity of the uniform flows. According to experimental data, Manning’s equation with constant Manning’s coefficient overestimates the discharge of second-kind channels (channels with a closing top-width), under the partially full flow. This problem can be solved by altering the Manning’s coefficient depending on the relative flow depth or changing the definition of the conventional hydraulic radius, that is, flow area divided by the wetted perimeter. Since, Manning’s coefficient theoretically depends only on the materials of the wall, so it seems that the second method is preferable. In current research a new and improved definition of hydraulic radius for closed conduits flowing partially full, is presented. This definition is efficient enough and provides powerful tool to determine the channel discharge and friction slope of uniform flow via Manning’s equation.http://www.sciencedirect.com/science/article/pii/S2090447915000295Manning’s equationRoughness coefficientNew hydraulic radiusCircular cross-sectionHorseshoe cross-sectionSecond kind channels
spellingShingle Ali R. Vatankhah
S. Ghafari
A. Mahdavi Mazdeh
New and improved hydraulic radius for channels of the second kind
Ain Shams Engineering Journal
Manning’s equation
Roughness coefficient
New hydraulic radius
Circular cross-section
Horseshoe cross-section
Second kind channels
title New and improved hydraulic radius for channels of the second kind
title_full New and improved hydraulic radius for channels of the second kind
title_fullStr New and improved hydraulic radius for channels of the second kind
title_full_unstemmed New and improved hydraulic radius for channels of the second kind
title_short New and improved hydraulic radius for channels of the second kind
title_sort new and improved hydraulic radius for channels of the second kind
topic Manning’s equation
Roughness coefficient
New hydraulic radius
Circular cross-section
Horseshoe cross-section
Second kind channels
url http://www.sciencedirect.com/science/article/pii/S2090447915000295
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