摘要
基于广义牛顿内摩擦定律和水流能量方程,推导出了矩形明渠二维恒定均匀层流条件下流速偏微分方程定解问题,使用固有函数法求得了解析解;建立了指数函数型和幂函数型断面平均流速近似表达式;重点分析了在宽深比大于1的条件下,断面平均流速和沿程阻力系数的相应变化情况,并与二元明渠恒定均匀层流进行了对比。分析表明,由于侧壁的影响,断面平均流速下降而沿程阻力系数增加。
A well-posed problem of partial differential equations was formulated for the velocity of steady two-dimensional uniform laminar flow in a rectangular open channel based on the generalized Newton internal friction law and the energy equation,and an analytical solution was derived with the inherent function method.Approximate expressions of cross-section mean velocity by exponential function and power function were established.The analysis is focused on the variation of cross-section mean velocity and frictional resistance coefficient for the cases of width-depth ratio greater than 1.0,and the results are compared with that of two-dimensional open channel flow.The results show that the effect of side walls causes a decrease in cross-section mean velocity and an increase in frictional resistance coefficient.
出处
《水力发电学报》
EI
CSCD
北大核心
2010年第6期95-98,143,共5页
Journal of Hydroelectric Engineering
基金
国家"973计划"(喀斯特地区水循环动力过程及其水文生态效应(2006CB403204))
关键词
水力学
矩形明渠
均匀层流
断面平均流速
沿程阻力系数
宽深比
hydraulics
rectangular open channel
uniform laminar flow
cross-section mean velocity
frictional resistance coefficient
width-depth ratio
