西安理工大学学报2017，Vol.33Issue(2)：164-168,5.DOI:10.19322/j.cnki.issn.1006-4710.2017.02.007
任意梯形断面溃坝洪水最大流量解析解
Analytical solutions to maximum discharge of dam-breaking flood in arbitrary trapezoidal cross-section channels
摘要
Abstract
By using characteristic transformation,Saint-venant equations are reduced to the equations of characteristic lines expressed by Riemann invariants.Expanding integral function of Riemann invariants for the case of arc and arbitrary trapezoidal cross-sections in Taylor's series and integrating it,the elementary function expressions of Riemann invariants are obtained.Further,equations of dimensionless water depth in arbitrary trapezoidal and arc cross-section channels are acquired.Finally,analytical solutions to the maximum velocity and discharge of dam-breaking flood are suggested.The method in this paper can be used for predicting the maximum velocity and maximum discharge of dam-breaking flood in arbitrary trapezoidal and arc cross-section channels.关键词
解析解/溃坝洪水/Riemann不变量/特征变换/任意梯形断面/弧形断面Key words
analytical solutions/dam-breaking flood/Riemann invariant/characteristic transformation/arbitrary trapezoidal cross-section channel/arc cross-section channel分类
建筑与水利引用本文复制引用
宁利中,宁碧波,胡彪,田伟利,王永起..任意梯形断面溃坝洪水最大流量解析解[J].西安理工大学学报,2017,33(2):164-168,5.基金项目
国家自然科学基金资助项目(10872164) （10872164）
陕西省重点学科建设专项资金资助项目(00X901) （00X901）
