圆形断面均匀流水深的近似计算公式  

An approximate formula for calculating water depth of uniform flow in circular cross section

作　　者：赵延风[1] 芦琴[1] 张宽地[1] 

机构地区：[1]西北农林科技大学水利与建筑工程学院,陕西杨凌712100

出　　处：《西北农林科技大学学报（自然科学版）》2008年第5期225-228,共4页Journal of Northwest A&F University(Natural Science Edition)

基　　金：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)

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。[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.

关 键 词：圆形断面 均匀流水深 近似计算 

分 类 号：TV131.4[水利工程—水力学及河流动力学]