摘要
针对目前圆形断面均匀流水深普遍采用的试算法、图表法存在计算误差大、适用范围小的缺点,欲提出一种新的近似计算公式。通过对圆形断面临界流公式的数学变换,得到其均匀流水深的数学模型,并采用Matlab数学软件进行数据拟合处理。得到了一种求解圆形断面均匀流水深的近似直接计算公式,实例计算及误差分析表明,在工程实用范围内该公式最大相对误差不超过1.6%。与现有圆形断面均匀流水深的计算公式进行比较,本文计算公式计算便捷且适用范围广,可供工程实际参考。
According to such the disadvantages as the large error and small scope of the test algorithm and chert method in the calculation of the current uniform low depth with circular cross-section,a new approximate formula should be proposed.Through the mathematical transformation for the critical flow formula with circular cross-section,the mathematical model of the uniform flow depth is achieved,then by using MATLAB to do the data fitting processing,a new approximate-direct calculation formula is obtained for solving the uniform flow depth with circular cross-section.The example computation and error analysis indicate that the most greatly relative error of this formula is smaller than 1.6% in practical project scope.Compared with the existing calculation formulas,the formula proposed here is convenient in calculation and wide in suitability,and could be used for the actual reference of projects.
出处
《水利与建筑工程学报》
2013年第4期81-84,共4页
Journal of Water Resources and Architectural Engineering
基金
国家863计划项目(2002AA62Z3191)
国家自然科学基金项目(51279168)
陕西省农业科技创新项目(2011NXC01-20)
