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《Advances in Science and Technology of Water Resources》 2012-06
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Further study on explicit formula for normal water depth of uniform flows in circular pipes

WEN Hui,LI Fengling(Department of Architecture and Civil Engineering,Huizhou University,Huizhou 516007,China)  
Based on the summarization of the existing formulae for normal depth of uniform flows in circular tube open channels,the dimensionless parameter α and the dimensionless normal depth β are introduced to perform mathematical transformation of the basic equation for uniform flows in circular tube open channels.A new explicit formula for the normal water depth of the uniform flows in circular tube open channels is proposed by means of the curve fitting and optimization principles.According to the requirements of Structural design code for special structures of water supply and waste water engineering and Design specification for hydraulic engineering,the scope of project application for the proposed formula is determined considering the specific situations of projects.The error analysis and case studies indicate that the proposed explicit formula has advantages of concise form and high precision.The maximum relative error is less than 0.72%,and it is convenient for designers to directly use it.
【Fund】: 惠州学院引进教授、博士科研启动基金(C510.0211)
【CateGory Index】: TV133.1
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