| 摘要: |
| 【目的】寻求梯形明渠临界水深的直接计算公式。【方法】针对梯形明渠临界水深传统计算方法计算过程复杂、误差大、适用范围小的缺点，以迭代法为基础，引入无量纲参数单位水面宽度,利用数值计算方法对梯形明渠临界水深的基本计算公式进行恒等变形，得到快速收敛的迭代公式，并对合适的迭代初值进行选取。【结果】提出了新的梯形明渠临界水深的直接计算公式，对其进行的误差分析结果表明，该公式计算临界水深的最大相对误差仅为0.010%。【结论】与现有公式相比，新建立的梯形明渠临界水深直接计算公式计算精度高、适用范围广，可供工程实际参考应用。 |
| 关键词: 梯形明渠 临界水深 计算公式 单位水面宽度 迭代方法 |
| DOI： |
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| 基金项目:国家科技支撑计划项目（2012BAD08B01） |
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| Direct calculation formula for critical depth of trapezoidal open channel |
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XU Hai-song,BA Duo-duo,ZHANG Guo-hui,et al
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| Abstract: |
| 【Objective】This study aimed to find a direct calculation formula for critical depth of trapezoidal open channel.【Method】Traditional method for calculating the critical depth of trapezoidal channel is complex,with large error and small application scope.Based on iterative methods,this article introduced dimensionless parameter unit surface width to conduct identical deformation to the basic formula of trapezoidal critical depth using numerical methods.The iterative formula with rapid convergence was obtained and the appropriate initial iterative values were selected.【Result】This study obtained a new formula to calculate critical depth of trapezoidal open channel directly.The maximum relative error of the proposed formula was 0.01%.【Conclusion】The obtained new formula for direct calculation of critical depth of trapezoidal open channel had high accuracy,wide application scope,and could be used in practical engineering application. |
| Key words: trapezoidal channel critical depth calculation formula unit surface width iterative method |
