平底Ⅰ型马蹄形断面临界水深的简化计算公式  

Simplified calculation formula for critical depth of I-type horseshoe cross-section with flat bottom

作　　者：文辉[1] 李风玲 赵洁[1] 林超慧[1] 唐壮丽[1] 

机构地区：[1]惠州学院建筑与土木工程系,广东惠州516007

出　　处：《水利水电科技进展》2014年第1期78-80,93,共4页Advances in Science and Technology of Water Resources

基　　金：惠州学院引进教授、博士科研启动基金(C 5 10.0211)

摘　　要：为了简化平底Ⅰ型马蹄形断面临界水深的计算公式,对平底Ⅰ型马蹄形断面临界水深基本方程进行数学变换,分析无量纲临界水深和无量纲参数之间的关系,以幂函数形式构造公式,采用拟合优化方法得到临界水深的简化计算公式。该简化公式不是分段函数,形式简单,通用性强,水深位于隧洞下部扇形和上部半圆形内都可以直接计算临界水深;在工程适用范围内,临界水深计算值的最大相对误差绝对值为0.485%,具有较高的精度。In order to simplify the calculation formula for critical depth of an I-type horseshoe cross-section with a flat bottom, mathematical exchange was conducted for the basic critical flow equation of the I-type horseshoe cross-section with a fiat bottom, the relationship between the corresponding dimensionless critical water depth and the introduced dimensionless parameters was analyzed, the power function was used to construct the formula form, and a simplified formula for critical water depth of the I-type horseshoe cross-section with a fiat bottom was established according to the optimal control fitting principle. This simplified formula is not a piecewise function, and it can directly calculate critical water depth whenever the water level reaches lower fan-shaped or upper semi-round sections of the tunnel. In a range suitable for engineering practice, the absolute value of the maximum relative error of the calculated critical water depth was 0. 485% , indicating that the simplified formula has high calculation precision.

关 键 词：水力学 平底I型马蹄形断面 临界水深 简化计算公式 

分 类 号：TV131.4[水利工程—水力学及河流动力学]