| 摘要: |
| 【目的】 研究六圆弧蛋形断面正常水深的简单计算方法，为该断面的工程设计提供技术支持。【方法】 根据面积分割法计算六圆弧蛋形断面的面积、湿周和水力半径，根据明渠均匀流理论计算不同流量时渠道的正常水深，通过优化拟合研究蛋形断面正常水深的简单计算方法。【结果】 优化拟合得到了蛋形断面水深处于不同位置时相对断面面积、相对湿周、相对水力半径的计算公式，确定了正常水深与流量的关系及水深的迭代计算公式，通过优化拟合研究，最后给出了正常水深的简化计算公式。【结论】 所建立的六圆弧蛋形断面正常水深的理论计算公式和近似计算公式计算过程简单、精度高，平均误差为0.204%，最大误差为1.129%。 |
| 关键词: 六圆弧蛋形断面 正常水深 计算方法 参数修改 |
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| Direction calculation of normal water depth of egg-shaped cross section with six arcs in open channel |
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ZHANG Zhi-chang,JIA Bin,LI Ruo-bing
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| Abstract: |
| 【Objective】This study proposed a simple method to calculate the normal water depth of egg-shaped cross section with six arcs to provide basis for engineering design of such section.【Method】Based on area segmentation method,the area,wetted perimeter and hydraulic radius were computed.Using open channel uniform flow theory,the normal depths were studied under different flows and the approximate fitting was used to obtain simple calculation method of normal water depth.【Result】Approximate fitting was used to obtain the simple calculation methods of section area, wetted perimeter and hydraulic radius at different positions.The relationship between normal depth and rate of flow,the iterative calculation formula of the water depth and the relationship between relative water depth and relative flow were also determined.At last,the simplified calculation method of normal water depth was proposed by optimizing fitting.【Conclusion】The proposed theoretical calculation formula and approximate calculation formula of normal water depth of egg-shaped cross section were simple and precise with average error of 0.204% and maximum error of 1.129%. |
| Key words: egg-shaped cross section with six arcs normal depth computing method parametric modification |
