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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| Published in | Journal of hydrodynamics. Series B Vol. 27; no. 3; pp. 469 - 472 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Singapore
Elsevier Ltd
01.06.2015
Springer Singapore State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-6058 1878-0342 |
| DOI | 10.1016/S1001-6058(15)60506-6 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | 李硕林 史浩然 薛万云 槐文信 |
| AuthorAffiliation | State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan430072, Chin1 |
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| CitedBy_id | crossref_primary_10_1115_1_4049681 crossref_primary_10_1007_s42241_021_0021_0 crossref_primary_10_1016_j_jhydrol_2019_02_045 crossref_primary_10_1007_s42241_018_0060_3 crossref_primary_10_1016_j_jher_2023_07_003 crossref_primary_10_1016_j_jhydrol_2019_03_095 crossref_primary_10_1007_s42241_021_0043_7 |
| Cites_doi | 10.1061/(ASCE)0733-9429(2002)128:1(20) 10.1201/9781420010244 10.1016/j.cnsns.2008.06.020 10.1016/j.nucengdes.2012.07.010 10.1029/2006WR005625 10.1103/PhysRevLett.96.044503 10.1080/00221680209499900 10.1016/S1001-6058(15)60483-8 10.1103/PhysRevLett.103.264502 10.1103/PhysRevLett.88.014501 |
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| Copyright | 2015 Publishing House for Journal of Hydrodynamics China Ship Scientific Research Center 2015 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | united formula open channel flows implicit model logarithmic matching method frication factor |
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| Notes | 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. |
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| References | ZENG, HUAI (bib4) 2009; 14 TAO (bib10) 2009; 103 LI, XUE, HUAI (bib3) 2015; 27 HUTHOFF, AUGUSTIJN, HULSCHER (bib7) 2007; 43 TUNG, JOHNSON, SATO (bib6) 2012; 252 YEN (bib13) 2002; 128 GUO (bib11) 2002; 40 GIOIA, BOMBARDELLI (bib8) 2001; 88 GRIFFITHS, SMITH (bib12) 2006 NIKURADSE (bib2) 1950 LI, XU (bib1) 2000 DOU (bib5) 1996; 10 GOLDENFELD (bib9) 2006; 96 LiC-gXueW-yHuaiW-xinEffect of vegetation on flow structure and dispersion in strongly curved channels[J]Journal of Hydrodynamics201527228629110.1016/S1001-6058(15)60483-8 NikuradseJLaws of flow in rough pipes[M]1950Washington, USANational Advisory Committee for Aeronautics LiWXuX-pingHydraulics[M]2000Wuhan, ChinaPress of Wuhan University of Hydraulic and Electric Engineering TaoJCritical instability and friction scaling of fluid flows through pipes with rough inner surfaces[J]Physical Review Letters20091032626450210.1103/PhysRevLett.103.264502 GuoJLogarithmic matching and its applications in computational hydraulics and sediment transport[J]Journal of Hydraulic Research200240555556510.1080/00221680209499900 GoldenfeldNRoughness-induced critical phenomena in a turbulent flow[J]Physical Review Letters2006966404450310.1103/PhysRevLett.96.044503 TungY HJohnsonR WSatoHEffects of graphite surface roughness on bypass flow computations for an HTGR[J]Nuclear Engineering and Design2012252788710.1016/j.nucengdes.2012.07.010 YenB COpen channel flow resistance[J]Journal of Hydraulic Engineering, ASCE20021281202910.1061/(ASCE)0733-9429(2002)128:1(20) DouG-renBasic laws in mechanics of turbulent flows[J]China Ocean Engineering1996101144 GioiaGBombardelliF AScaling and similarity in rough channel flows[J]Physical Review Letters200188101450110.1103/PhysRevLett.88.014501 ZengYHuaiWApplication of artificial neural net-work to predict the friction factor of open channel flow[J]Communications in Nonlinear Science and Numerical Simulation20091452373237810.1016/j.cnsns.2008.06.020 GriffithsD VSmithI MNumerical methods for engineers[M]2006Boca Raton, USACRC Press1105.65001 HuthoffFAugustijnDHulscherS J M HAnalytical solution of the depth-averaged flow velocity in case of submerged rigid cylindrical vegetation[J]Water Resources Research200743612914810.1029/2006WR005625 W Li (2703469_CR1) 2000 G Gioia (2703469_CR8) 2001; 881 N Goldenfeld (2703469_CR9) 2006; 9664 G-ren Dou (2703469_CR5) 1996; 10 Y Zeng (2703469_CR4) 2009; 14 D V Griffiths (2703469_CR12) 2006 J Nikuradse (2703469_CR2) 1950 Y H Tung (2703469_CR6) 2012; 252 J Guo (2703469_CR11) 2002; 40 C-g Li (2703469_CR3) 2015; 27 F Huthoff (2703469_CR7) 2007; 43 J Tao (2703469_CR10) 2009; 103 B C Yen (2703469_CR13) 2002; 128 |
| References_xml | – year: 2006 ident: bib12 publication-title: [M] – volume: 43 start-page: 129 year: 2007 end-page: 148 ident: bib7 article-title: Analytical solution of the depth−averaged flow velocity in case of submerged rigid cylindrical vegetation[J] publication-title: Water Resources Research – volume: 96 start-page: 044503 year: 2006 ident: bib9 article-title: Roughness-induced critical phenomena in a turbulent flow[J] publication-title: Physical Review Letters – volume: 27 start-page: 286 year: 2015 end-page: 291 ident: bib3 article-title: Effect of vegetation on flow structure and dispersion in strongly curved channels[J] publication-title: Journal of Hydrodynamics – volume: 128 start-page: 20 year: 2002 end-page: 29 ident: bib13 article-title: Open channel flow resistance[J] publication-title: Journal of Hydraulic Engineering, ASCE – volume: 88 start-page: 014501 year: 2001 ident: bib8 article-title: Scaling and similarity in rough channel flows[J] publication-title: Physical Review Letters – year: 1950 ident: bib2 publication-title: [M] – volume: 40 start-page: 555 year: 2002 end-page: 565 ident: bib11 article-title: Logarithmic matching and its applications in computational hydraulics and sediment transport[J] publication-title: Journal of Hydraulic Research – year: 2000 ident: bib1 publication-title: [M] – volume: 10 start-page: 1 year: 1996 end-page: 44 ident: bib5 article-title: Basic laws in mechanics of turbulent flows[J] publication-title: China Ocean Engineering – volume: 103 start-page: 264502 year: 2009 ident: bib10 article-title: Critical instability and friction scaling of fluid flows through pipes with rough inner surfaces[J] publication-title: Physical Review Letters – volume: 14 start-page: 2373 year: 2009 end-page: 2378 ident: bib4 article-title: Application of artificial neural network to predict the friction factor of open channel flow[J] publication-title: Communications in Nonlinear Science and Numerical Simulation – volume: 252 start-page: 78 year: 2012 end-page: 87 ident: bib6 article-title: Effects of graphite surface roughness on bypass flow computations for an HTGR[J] publication-title: Nuclear Engineering and Design – reference: GriffithsD VSmithI MNumerical methods for engineers[M]2006Boca Raton, USACRC Press1105.65001 – reference: YenB COpen channel flow resistance[J]Journal of Hydraulic Engineering, ASCE20021281202910.1061/(ASCE)0733-9429(2002)128:1(20) – reference: GuoJLogarithmic matching and its applications in computational hydraulics and sediment transport[J]Journal of Hydraulic Research200240555556510.1080/00221680209499900 – reference: LiWXuX-pingHydraulics[M]2000Wuhan, ChinaPress of Wuhan University of Hydraulic and Electric Engineering – reference: HuthoffFAugustijnDHulscherS J M HAnalytical solution of the depth-averaged flow velocity in case of submerged rigid cylindrical vegetation[J]Water Resources Research200743612914810.1029/2006WR005625 – reference: LiC-gXueW-yHuaiW-xinEffect of vegetation on flow structure and dispersion in strongly curved channels[J]Journal of Hydrodynamics201527228629110.1016/S1001-6058(15)60483-8 – reference: ZengYHuaiWApplication of artificial neural net-work to predict the friction factor of open channel flow[J]Communications in Nonlinear Science and Numerical Simulation20091452373237810.1016/j.cnsns.2008.06.020 – reference: GoldenfeldNRoughness-induced critical phenomena in a turbulent flow[J]Physical Review Letters2006966404450310.1103/PhysRevLett.96.044503 – reference: TungY HJohnsonR WSatoHEffects of graphite surface roughness on bypass flow computations for an HTGR[J]Nuclear Engineering and Design2012252788710.1016/j.nucengdes.2012.07.010 – reference: TaoJCritical instability and friction scaling of fluid flows through pipes with rough inner surfaces[J]Physical Review Letters20091032626450210.1103/PhysRevLett.103.264502 – reference: NikuradseJLaws of flow in rough pipes[M]1950Washington, USANational Advisory Committee for Aeronautics – reference: DouG-renBasic laws in mechanics of turbulent flows[J]China Ocean Engineering1996101144 – reference: GioiaGBombardelliF AScaling and similarity in rough channel flows[J]Physical Review Letters200188101450110.1103/PhysRevLett.88.014501 – volume-title: Hydraulics[M] year: 2000 ident: 2703469_CR1 – volume: 128 start-page: 20 issue: 1 year: 2002 ident: 2703469_CR13 publication-title: Journal of Hydraulic Engineering, ASCE doi: 10.1061/(ASCE)0733-9429(2002)128:1(20) – volume-title: Numerical methods for engineers[M] year: 2006 ident: 2703469_CR12 doi: 10.1201/9781420010244 – volume: 14 start-page: 2373 issue: 5 year: 2009 ident: 2703469_CR4 publication-title: Communications in Nonlinear Science and Numerical Simulation doi: 10.1016/j.cnsns.2008.06.020 – volume: 10 start-page: 1 issue: 1 year: 1996 ident: 2703469_CR5 publication-title: China Ocean Engineering – volume: 252 start-page: 78 year: 2012 ident: 2703469_CR6 publication-title: Nuclear Engineering and Design doi: 10.1016/j.nucengdes.2012.07.010 – volume: 43 start-page: 129 issue: 6 year: 2007 ident: 2703469_CR7 publication-title: Water Resources Research doi: 10.1029/2006WR005625 – volume: 9664 start-page: 044503 year: 2006 ident: 2703469_CR9 publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.96.044503 – volume: 40 start-page: 555 issue: 5 year: 2002 ident: 2703469_CR11 publication-title: Journal of Hydraulic Research doi: 10.1080/00221680209499900 – volume: 27 start-page: 286 issue: 2 year: 2015 ident: 2703469_CR3 publication-title: Journal of Hydrodynamics doi: 10.1016/S1001-6058(15)60483-8 – volume: 103 start-page: 264502 issue: 26 year: 2009 ident: 2703469_CR10 publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.103.264502 – volume: 881 start-page: 014501 year: 2001 ident: 2703469_CR8 publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.88.014501 – volume-title: Laws of flow in rough pipes[M] year: 1950 ident: 2703469_CR2 |
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| SubjectTerms | Engineering Engineering Fluid Dynamics frication factor Hydrology/Water Resources implicit model Letter logarithmic matching method Numerical and Computational Physics open channel flows Simulation united formula 实验数据 拟合方法 摩擦系数 流量 相对粗糙度 经验公式 通道 雷诺兹数 |
| Title | United friction resistance in open channel flows |
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