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《Journal of Yangtze River Scientific Research Institute》 2008-04
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Approximate Method Calculating Critical Water Depth in Common City-opening Shaped Cross-section

ZHAO Yan-feng,SONG Songbai,MENG Qin-qian(College of Water Resources and Architectural Engineering,Northwest A&FUniversity,Yangling 712100,China)  
The critical water depth in common cityopening shaped cross-section needs to solve the high order implicit function equation.There is no analytical solution theoretically.The graphical method or trial and error algorithm is complicated and time consuming.This thesis obtains an approximate formula calculating the critical water depth by constant deformation on the basic equation of the critical water depth in city-opening shaped cross-section and introduces dimensionless critical water depth according to optimization theory.The error analysis and examples manifest that the maximum relative error of critical water depth is less than 0.39% within the common project and the formula has a direct and simple form,high precision and widely applied range.
【Fund】: 国家自然科学基金资助项目(50579065);; 西北农林科技大学优秀科技人才基金(04ZR014)
【CateGory Index】: TV133
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Kuan-di1,2,LV Hong-xing1,ZHAO Yan-feng1 (1.College of Water Resources and Architectural Engineering,Northwest A & F University,Yangling712100,China;2.Institute of Soil and Water Conservation,CAS.,Yangling 712100,China);Approximate Method Calculating Normal Depth of Arched-gate Section Tunnel[J];Journal of Yangtze River Scientific Research Institute;2010-02
【Citations】
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1 LU Hong?xing, BA Duo?duo,SONG Song?bai (College of Water Conservancy and Architecture Engineering of Northwest Science and Technology University of Agriculture & Forestry, Yangling 712100,China);Hydraulic calculation for free flow in circular section by iterative method[J];Journal of Yangtze River Scientific Research Institute;2003-05
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【Co-citations】
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1 L Hong-xing 1,YANG Cen 1,LU Ze-sheng 2,LUAN Wei-gong 2,BA Duo-duo 1,LI Jian-xiong 2 (1.College of Water Resources and Architectural Engineering,Northwest Sci-tech University of Agriculture and Forestry,Yangling 712100,China;2.Taohe River Water Transfer Project Water Resources and Hydropower Development Co.Ltd of Gansu Province,Lanzhou 730030,China);Prototype Observation on Roughness of Main Channel of Taohe River Water Transfer First-phase Project(1)——Research Method and Monitoring of Water-level and Discharge[J];Journal of Yangtze River Scientific Research Institute;2009-12
2 ZHANG Kuan-di1,2,LV Hong-xing1,ZHAO Yan-feng1 (1.College of Water Resources and Architectural Engineering,Northwest A & F University,Yangling712100,China;2.Institute of Soil and Water Conservation,CAS.,Yangling 712100,China);Approximate Method Calculating Normal Depth of Arched-gate Section Tunnel[J];Journal of Yangtze River Scientific Research Institute;2010-02
3 LV Hong-xing1,LU Ze-sheng2,LUAN Wei-gong2,BA Duo-duo1,LI Jian-xiong2,YANG Cen1(1.College of Water Resources and Architectural Engineering,Northwest Sci-tech University ofAgriculture and Forestry,Yangling 712100,China;2.Taohe River Water Transfer Project WaterResources and Hydropower Development Co.Ltd of Gansu Province,Lanzhou 730030,China);Prototype Observation Research on Roughness of Main Channel of Taohe River Water Transfer First-phase Project(2)——Result and Economic Benefit of Prototype Observation[J];Journal of Yangtze River Scientific Research Institute;2010-02
4 Wu Junjun,Xu Xiaojian,Ni Baoyan;Calculation Method of Critical Water Depth in City-gate Section of Water Conveying Tunnel[J];Urban Roads Bridges & Flood Control;2007-09
5 ZHU Ke-lin(College of Water Resources and Architectural Engineering,Northwest A & F University,Yangling,Shaanxi 712100,China);Solution Formula for Critical Water Depth of Semi-circular Section[J];Journal of Water Resources and Architectural Engineering;2010-01
6 ZHAO Yan-feng1,2,ZHU Han-ying3,WANG Zheng-zhong1,2(1.College of Water Resources and Architectural Engineering,Northwest A & F University,Yangling 712100,China;2.Research Center of Water Engineering Safety and Disaster Prevention,Northwest A & F University,Yangling 712100,China;3.Management Center of Weihe River and Chanhe River,Xi'an Water Affairs Bureau,Xi'an 710015,China);New approximate formula for circular cross section of normal depth[J];Journal of Hohai University(Natural Sciences);2010-01
7 Wen Hui~1 Li Fengling~1 Ou Junli~2 Yao Hui~2 (1.Maoming University,Maoming 525000,China;2.Guangdong Water & Power Design Institute,Guangzhou 510170,China);Approximate solution of the normal depth inside tunnel with arch cross-section[J];Water & Wastewater Engineering;2007-07
8 Zhang Kuandi,LüHongxing,Zhao Yanfeng (College of Water Conservancy and Architectural Engineering,Northwest Agriculture and Forestry University,Yangling 712100,China);Direct calculation for normal depth and critical depth of circular section tunnel under free flow[J];Transactions of the Chinese Society of Agricultural Engineering;2009-03
9 Zhang Kuandi1,2,L Hongxing1,Chen Junying1 (1. College of Water Conservancy and Architectural Engineering,Northwest Agriculture and Forestry University,Yangling 712100,China; 2. State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau,Institute of Soil and Water Conservation,Chinese Academy of Sciences and Ministry of Water Resources,Yangling 712100,China);Direct calculation of critical depth of horseshoe section tunnel[J];Transactions of the Chinese Society of Agricultural Engineering;2009-04
10 Zhao Yanfeng1,2,Wang Zhengzhong1,2,Lu Qin1 (1.College of Water Resources and Architectural Engineering,Northwest Agriculture and Forestry University,Yangling 712100,China;2.Reseach Center of Water Engineering Safety and Disaster Prevention,Northwest Agriculture and Forestry University,Yangling 712100,China);Formula for direct calculation of contracted depth of channel with trapezoidal section[J];Transactions of the Chinese Society of Agricultural Engineering;2009-08
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 LIANG Xun~1,FENG Yu_lian~2(1.Qiqihar City Flood Proofing Drought_defying Command Post of Heilongjiang Prov.,Qiqihar 161000,China; 2.Gannan County Water Resources Office of Heilongjiang Prov.,Gannan 162100,China);Simplification of hydraulic calculation method of the cross section for standard door type tunnel[J];Journal of Heilongjiang Hydraulic Engineering College;2005-02
2 Wen Hui~1 Li Fengling~1 Ou Junli~2 Yao Hui~2 (1.Maoming University,Maoming 525000,China;2.Guangdong Water & Power Design Institute,Guangzhou 510170,China);Approximate solution of the normal depth inside tunnel with arch cross-section[J];Water & Wastewater Engineering;2007-07
3 MA Jiming, LIANG Haibo, LIANG Yuanbo Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China;Critical flow in city gate and horseshoe conduit[J];JOURNAL OF TSINGHUA UNIVERSITY(SCIENCE AND TECHNOLOGY);1999-11
4 WANG Zhengzhong~1,2, CHEN Tao~1, ZHANG Xinmin~3, ZHANG Xudong~1(1. College of Water Conservancy and Architectural Engineering, Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100, China; 2. State Key Laboratory of Frozen Soil Engineering, The Chinese Academy of Sciences, Lanzhou 730000, China; 3. Gansu Water Conservancy Science Research Institute, Lanzhou 730000, China);Approximate solution for the critical depth of a arched turnel[J];Journal of Tsinghua University(Science and Technology);2004-06
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 MA Jiming, LIANG Haibo, LIANG Yuanbo Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China;Critical flow in city gate and horseshoe conduit[J];JOURNAL OF TSINGHUA UNIVERSITY(SCIENCE AND TECHNOLOGY);1999-11
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