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水力发电学报 ›› 2023, Vol. 42 ›› Issue (6): 65-72.doi: 10.11660/slfdxb.20230607

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径流式液力透平尾涡流动机理分析

  

  • 出版日期:2023-06-25 发布日期:2023-06-25

Theoretical analysis of tail vortices in radial-flow hydraulic turbine

  • Online:2023-06-25 Published:2023-06-25

摘要: 液力透平叶轮出口处存在大尺度螺旋形尾涡,对机器的效率和运行稳定性有影响。为分析液力透平尾涡流动机理,利用Q准则识别提取尾涡结构,并对其速度场进行分析。研究发现:尾涡旋向与叶轮相反,其涡核半径约为叶轮出口半径的1/3,且在涡核中心发现了逆流区。根据叶轮出口处尾涡切向速度沿半径分布规律,可将尾涡流动分为涡核心区和涡衰减区,涡核心区内,切向速度沿半径急剧增加,在涡核半径处达到最大,在涡衰减区缓慢下降,在管壁处其值约为峰值的一半。沿着流动方向,尾涡切向速度分布逐渐平缓,且其峰值所在位置逐渐向管壁处移动。涡核心区内以切向速度动能损失为主,是引起液力透平水力损失的原因之一。

关键词: 液力透平, 旋涡, Q准则, 内流场, 水力损失

Abstract: Large-scale spiral tail vortices at the outlet of a radial hydraulic turbine would affect the efficiency and stability of the machine. To reveal the flow mechanism, a Q criterion is used to identify and extract the structure of different tail vortices, focusing on analysis of velocity fields. The results show that the vortices rotate opposite to the impeller with their core radius about one third of the impeller outlet radius. We divide a tail vortex into a core zone and a decay zone by the radial profiles of its tangential velocity at the impeller outlet. Transversely, the tangential velocity increases sharply along the radius in the core zone, and peaks at the core radius; then it decreases gradually in the decay zone down to a level of roughly half the peak at the tube wall. Along the flow, its variation flattens out gradually and its peak moves gradually toward the channel wall. We find the vortex core is a zone of energy loss dominated by the kinetic energy loss of tangential velocity, which is one of the major causes of energy loss in a radial hydraulic turbine.

Key words: hydraulic turbine, vortex, Q criterion, internal flow field, hydraulic losses

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