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马蹄形过水断面临界水深的直接计算法
引用本文:张宽地, 吕宏兴, 陈俊英. 马蹄形过水断面临界水深的直接计算法[J]. 农业工程学报, 2009, 25(4): 15-18.
作者姓名:张宽地  吕宏兴  陈俊英
作者单位:1.西北农林科技大学水利与建筑工程学院,杨凌 712100;2.中科院水利部水土保持研究所黄土高原土壤侵蚀与旱地农业国家重点实验室,杨凌 712100
基金项目:国家973计划课题(2007CB407201);国家自然科学基金重点项目(40335050);西北农林科技大学创新团队建设计划(01140202);黄土高原土壤侵蚀与旱地农业国家重点实验室基金项目(10501-182)
摘    要:马蹄形过水断面是无压隧洞较常采用的断面形式之一,水力计算中临界水深的求解无显函数公式,传统的试算法或查图法不仅计算过程繁琐复杂,而且计算精度不高。该文通过对马蹄形断面临界流方程的数学变换,并对本文引入的无量纲参数与相对临界水深的关系分析及数值计算,应用逐步优化拟合原理,得到标准Ⅰ、Ⅱ型马蹄形断面临界水深的直接计算式。实例计算及误差分析表明:在工程实用范围内该公式最大相对误差仅为0.8%,且该式物理概念清晰明确、公式形式简捷,为工程设计及水工设计手册的编制提供有益的参考。

关 键 词:水力计算  临界水深  直接计算法  马蹄形断面
收稿时间:2007-11-25
修稿时间:2009-01-18

Direct calculation of critical depth of horseshoe section tunnel
Zhang Kuandi, Lü Hongxing, Chen Junying. Direct calculation of critical depth of horseshoe section tunnel[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2009, 25(4): 15-18.
Authors:Zhang Kuandi  Lü Hongxing  Chen Junying
Affiliation:1.College of Water Conservancy and Architectural Engineering, Northwest Agriculture and Forestry University, Yangling 712100, China;2.State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau, Institute of Soil and Water Conservation, Chinese Academy of Sciences and Ministry of Water Resources, Yangling 712100, China
Abstract:Horseshoe section tunnel is a common type in the free-flow tunnel. There is no analytical expression to solve the critical depth of horseshoe section tunnel under free flow. The traditional solving methods,such as trial method and chart method,are very complicated with low precision. In this study,by mathematical transformation of critical flow equation of horseshoe section tunnel,the relationship between the dimensionless parameters and relative critical depth was analyzed and simulated. Using the gradual ...
Keywords:hydraulic calculation   critical depth   direct calculation method   horseshoe section tunnel
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