| 摘要: |
| [目的]针对目前圆形断面均匀流水深计算公式存在计算误差大、适用范围小的弊端,欲提出一种新的近似计算公式.[方法]对圆形断面均匀流方程进行数学变换,得到无量纲参数K值的表达式,并应用最佳逼近拟合原理对K值与无量纲水深x值进行优化拟合.[结果]得到了圆形断面均匀流水深的近似计算公式,误差分析及实例计算表明,该公式在工程常用范围内最大相对误差小于0.9%.[结论]与现有计算公式比较,该公式计算精度高,适用范围广,可以满足工程要求. |
| 关键词: 圆形断面 均匀流水深 近似计算 |
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| 基金项目:国家“863”高技术研究与发展计划项目（2002AA62Z3191）；陕西省重大科技专项计划项目（2006-01） |
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| An approximate formula for calculating water depth of uniform flow in circular cross section |
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| Abstract: |
| 【Objective】 For present shortcoming of water depth of uniform flow in circular section,which is great calculating error and small application scope,this paper desired to get a new approximate formula.【Method】 Through mathematic-exchange from the equation of uniform flow in circular section,this paper got expression of non-dimensional parameter k,moreover used principle of the best approximation to do optimization and approximation to k and non-dimensional water depth x,an approximate formula for calculating water depth of uniform flow in circular section was gained.【Result】 Error analysis and application expresses that in the practical area of engineering,the maximum error of this formula was not greater than 0.9 percent.【Conclusion】 Comparing with the previous formulas,this formula has higher calculating precision and can be widely used and satisfy the engineering requirement. |
| Key words: circular section uniform flow approximate calculation |
