无压流圆形断面收缩水深的简易算法  

Simple Algorithm of Contracted Depth of Free Flow Circular Section

作　　者：滕凯 

机构地区：[1]齐齐哈尔市水务局,齐齐哈尔1610060

出　　处：《黑龙江八一农垦大学学报》2013年第1期74-77,共4页journal of heilongjiang bayi agricultural university

摘　　要：无压流圆形断面收缩水深计算需完成超越方程求解,理论上无法通过解析法获解。针对目前传统算法及近似算法存在的问题,通过引入无量纲水深及综合已知参数,在对圆形断面收缩水深计算基本方程进行数学变换整理的基础上,依据优化拟合理论,以标准剩余差最小为目标函数,在实用参数范围内,经逐次逼近拟合获得了表达形式简单、计算简捷、最大相对误差小于0.78%的简化公式,具有一定的实用意义。To calculate the contracted depth of free flow circular section, a transcendental equation should be solved. Theoretically, it was not able to be done with analysis method. Aiming at the existing problems of current traditional algorithm and approximate algorithm, by introducing non-dimensional water depth and integrating known parameters, and on the basis of performing mathematic transformation for the basic calculation equation of the contracted depth of circular section, this paper had taken minimum standard residual difference as the objective function. And within the scope of practical parameters, after several approximation fittings, it had developed a simple equation with simple expression, simple ways of calculating and a maximum relative error less than 0.78% according to optimum fitting theory, which had a certain practical significance.

关 键 词：圆形断面 收缩水深 优化拟合 近似计算 研究 

分 类 号：TV131.4[水利工程—水力学及河流动力学]