水资源与水工程学报2024，Vol.35Issue(4)：101-110,10.DOI:10.11705/j.issn.1672-643X.2024.04.12
无压圆形输水隧洞正常水深与临界水深的简便计算
A simplified calculation method for normal and critical depths in non-pressure circular tunnel
摘要
Abstract
Water depth and critical water depth are crucial hydraulic factors in the study,design,and operation management of water conveyance tunnels.The computation of the characteristic water level for a circular hydraulic section is crucial in determining the ideal section for hydraulic purposes.To address the limitations of existing formulas in terms of accuracy and applicability,we have developed several functional models based on the fundamental equation of flow motion,using characteristic parameters of flow cross section,dimensionless depth,and the concept of limit thinking in mathematical operations.The enhanced particle swarm optimization(PSO)is employed in lieu of conventional parameter determi-nation to ascertain a simplified formula for the calculation of characteristic water depth of non-pressure flow in a circular tunnel.Comparative analysis with typical formulas demonstrates that the proposed for-mula exhibits a notable enhancement in calculation accuracy.The maximum relative error in calculating normal water depth is below 0.067％,and the calculation error for critical water depth does not exceed 0.182％,indicating a broad spectrum of practical applications of the proposed formula.This study intro-duces a novel approach for determining the characteristic water depth,highlighting the high precision and broad applicability of the proposed formula in non-pressure water conveyance systems,such as tunnels and pipelines.关键词
输水隧洞/圆形断面/正常水深/临界水深/PSO算法/计算公式Key words
water conveyane tunnel/circular section/normal water depth/critical water depth/particle swarm optimization(PSO)algorithm/calculation formula分类
建筑与水利引用本文复制引用
杨伟峰,杨洋..无压圆形输水隧洞正常水深与临界水深的简便计算[J].水资源与水工程学报,2024,35(4):101-110,10.基金项目
国家自然科学基金项目(52179079、41877076) （52179079、41877076）
陕西省水利厅科技计划项目(2023slkj-5) （2023slkj-5）
