United friction resistance in open channel flows

It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expression to describe the effects of friction over all hydraulic regions in open channe...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 27; no. 3; pp. 469 - 472
Main Author 李硕林 史浩然 薛万云 槐文信
Format Journal Article
LanguageEnglish
Published Singapore Elsevier Ltd 01.06.2015
Springer Singapore
State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China
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ISSN1001-6058
1878-0342
DOI10.1016/S1001-6058(15)60506-6

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Summary:It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expression to describe the effects of friction over all hydraulic regions in open channel flows. Therefore, in this letter, based on the analysis of the implicit model and the logarithmic matching method, the results of Keulegan (for authentic experiment data are no longer available, here we adopt the analytical solutions given by Dou) are rescaled into one monotone curve by combining the Reynolds number and the relative roughness of the river bed. A united expression that could cover the entire turbulence regions and be validated with Dou's analytical solutions is suggested to estimate the friction factor throughout the turbulent region in open channel flows, with higher accuracy than that of the previous formulas.
Bibliography:31-1563/T
open channel flows, frication factor, united formula, implicit model, logarithmic matching method
It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expression to describe the effects of friction over all hydraulic regions in open channel flows. Therefore, in this letter, based on the analysis of the implicit model and the logarithmic matching method, the results of Keulegan (for authentic experiment data are no longer available, here we adopt the analytical solutions given by Dou) are rescaled into one monotone curve by combining the Reynolds number and the relative roughness of the river bed. A united expression that could cover the entire turbulence regions and be validated with Dou's analytical solutions is suggested to estimate the friction factor throughout the turbulent region in open channel flows, with higher accuracy than that of the previous formulas.
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(15)60506-6