| 摘要: |
| 【目的】寻求半立方抛物线形明渠共轭水深的迭代计算方法。【方法】根据半立方抛物线形明渠断面的几何形态及棱柱体水平明渠水跃方程，推求得到半立方抛物线形明渠共轭水深的迭代计算公式，并从理论上证明其收敛性；通过对工程中不同流量Q与不同断面形状参数p
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| 关键词: 半立方抛物线形明渠 共轭水深 迭代算法 迭代初值 |
| DOI： |
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| 基金项目:国家自然科学基金青年基金项目（50909083） |
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| Iterative algorithm of conjugate depth for semi-cubic parabolic open channels |
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MA Zipu1, ZHANG Genguang2, FENG Xue3
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1.College of Water Resources and Architectural Engineering,Northwest A&F University,etal;2.College of Water Resources and Architectural Engineering,Northwest A&F University;3.College of Water Conservancy and Hydropower Engineering, Hohai University
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| Abstract: |
| 【Objective】The aim was to find the iterative calculating formula of conjugate depth for semi-cubic parabolic open channels.【Method】The iterative calculating formula of semi-cubic parabolic channels was deduced according to the cross-section geometric features of semi-cubic parabolic channels and the hydraulic jump equation of general prism channels,and the convergence of corresponding iterative formula was proved theoretically.Through calculation of the sequent depth in the condition of different discharge Q,cross-section shape parameter p,and appropriate fitting formula,the calculation formula for the initial iteration value of conjugate depth had been obtained.【Result】We deduced the hydraulic jump equation of semi-cubic parabolic channels and got the iterative calculating formula of the initial depth and the sequent depth.We also calculated the initial iteration value using the direct calculation formula itself and substituted the value to the iterative formula of conjugate depth.The conjugate depth value with high precision was obtained after several iterations.【Conclusion】The iterative calculating formula of conjugate depth for semi-cubic parabolic channels had definite physics concept,easy calculation,high precision and wide range and could satisfy the requirement of engineering practice. |
| Key words: semi-cubic parabolic open channels conjugate depth iterative formula initial iteration value |
