圆形断面临界水深新近似计算式  

A new approximate formula of critical water depth in circular cross-section

作　　者：李蕊[1] 王正中[2] 王志刚[3] 

机构地区：[1]杨凌职业技术学院,陕西杨凌712100 [2]西北农林科技大学水工程安全与病害防治研究中心,陕西杨凌712100 [3]西北农林科技大学,陕西杨凌712100

出　　处：《干旱地区农业研究》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)

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.

关 键 词：数学建模 水力计算 临界水深 

分 类 号：TV131.4[水利工程—水力学及河流动力学]