摘要
针对目前圆形断面临界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,得到其临界水深的数学模型,并采进行编程计算,得到了一种求解圆形断面临界水深的新近似直接计算公式。实例计算及误差分析表用范围内该公式最大相对误差小于1%。与现有圆形断面临界水深的计算公式比较,该计算公式计范围广,可供工程实际参考应用。
Aimed at the problems of large error and narrow applicable scope exiting in the trial and diagram methods generally used, a new approximate formula of critical water depth in circular cross-section was proposed. The mathematical model of critical water depth was set up through the mathematical transformation of critical flow formula in circular cross-section, and the new approximate formula of critical water depth in circular cross-section was obtained by using least squares for programming computation. The example computation and error analysis indicated that the largest relative error of this formula was smaller than 1% in the practical scope of project. Compared with the existing formula of critical water depth in circular cross - section, the new formula is more convenient in computation and broader in applicable scope, and it can he applied for reference in engineering practices.
出处
《干旱地区农业研究》
CSCD
北大核心
2013年第4期54-56,103,共4页
Agricultural Research in the Arid Areas
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)
关键词
数学建模
水力计算
临界水深
mathematics model
hydraulic computation
critical water
