半立方抛物线形渠道正常水深的近似计算公式  

The Approximate Formula for Normal Water Depth of Semi-Cubic Parabolic Channels

作　　者：滕凯 

机构地区：[1]齐齐哈尔市水务局,黑龙江齐齐哈尔161006

出　　处：《长江科学院院报》2012年第12期30-33,共4页Journal of Changjiang River Scientific Research Institute

摘　　要：针对目前半立方抛物线形断面渠道正常水深计算存在的计算过程繁琐复杂、求解成果精度不高等问题,经对正常水深基本计算方程的变形整理,通过引入无量纲水深及特征参数,采用优化拟合的方法,取标准剩余差最小为目标函数,在工程适用参数范围内,经逐次逼近拟合计算,得到了表达形式简单、计算过程简捷、实用范围广、便于工程设计人员实际应用的近似计算公式。误差分析及算例计算表明:拟合公式的最大相对误差仅为0.261%,完全满足实际工程的设计精度要求。该近似计算公式为半立方抛物线形断面渠道正常水深计算提供了更加有效的计算方法,具有应用推广价值。The current calculation of the normal water depth of semi-cubic parabola-shaped channel has such shortcomings as complex process and inadequate precision.Through transforming the basic equation of normal water depth and by introducing the dimensionless water depth and the characteristic parameter,we present an approximate formula which is obtained through successive approximation and fitting equation of normal water depth,with the minimum standard residual difference as the objective function.The formula is simple,convenient,applicable and practical.Error analysis and calculation example show that the maximum relative error is only 0.261%,which meets the requirements of engineering accuracy.This research provides a more effective approach of calculating the normal depth of semi-cubic parabolic channel.

关 键 词：抛物线形渠道 均匀流水深 优化拟合 水力计算 

分 类 号：TV133[水利工程—水力学及河流动力学]