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## Series solution to waterhammer of simple pipe hydraulic system

ZHU Yong-zhong1,SUO Li-sheng2,ZHANG Jian2 (1.College of Sciences,Hohai University,Nanjing 210098,China;2.College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098,China)
In consideration of the initial condition and boundary condition for the basic equation of a simple hydraulic system with valves closed linearly,a one-order linear differential equation of time with respect to waterhammer at the end of the system was derived by use of the form solution to the partial differential equations,and the implicit analytical solution to waterhammer was obtained.Furthermore,the waterhammer was divided into two parts with series solutions,and the series solutions were obtained by expansion of trigonometric series.Finally,the series formula for the solution to waterhammer was given.
【Fund】： 武汉大学水资源与水电工程科学国家重点实验室开放基金资助项目(2006B030)
【CateGory Index】： TV134
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 【References】
 Chinese Journal Full-text Database 1 Hits
 1 XU Chang-gui(Emei Campus,Southwest Jiaotong University,Emei,Sichuan 614202,China);The Series Solution to a Harmorric Equation of Boundary Value[J];Journal of Zhangzhou Normal University(Natural Science);2008-01
 【Citations】
 Chinese Journal Full-text Database 1 Hits
 1 Liu Baohua (CHIDI Chengdu 610072);Hydraulic Calculation and Operation Condition Selection of the Surge Chamber with Long-distance Diversion Tunnel[J];JOURNAL OF HYDROELECTRIC ENGINEERING;1995-04
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
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