梯形断面波浪形底板消力池自由水跃特性研究  

Numerical study on properties of free hydraulic jumps on corrugated bed of trapezoidal cross-section stilling basin

作　　者：魏文礼[1] 何永鹏 王长洲 洪云飞[1] 刘玉玲[1] WEI Wen-li;HE Yong-peng;WANG Chang-zhou;HONG Yun-fei;LIU Yu-ling(State Key Laboratory of Eeo-Hydraulics in Northwest Arid Region,Xi'an University of Technology,Xi'an 710048,China)

机构地区：[1]西安理工大学省部共建西北旱区生态水利工程国家重点实验室,西安710048

出　　处：《水动力学研究与进展（A辑）》2020年第3期401-407,共7页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金(No.51578452);陕西省科学研究计划项目(2020SF-354)。

摘　　要：应用动量方程推导了梯形断面波浪形底板消力池自由水跃的共轭水深计算公式,采用VOF(volume of fluid)方法追踪自由液面,模拟了三维梯形断面波浪形底板消力池自由水跃,辅以RNG(重整化群)湍流模型封闭时均流方程,选用有限体积法离散微分方程,使用压力隐式算子分裂PISO(Pressure-Implicit with Splitting of Operators)算法耦合求解速度与压力。模拟结果显示:梯形断面波浪形底板消力池中水跃的自由液面的形状、位置和水跃尺寸等模拟结果与实验值吻合较好;水跃区纵断面的流线、流速和紊动动能分布规律近似于矩形断面消力池,表明梯形断面波浪形底板消力池自由水跃的水力特性与矩形断面相似,并且矩形断面波浪形底板自由水跃的经验公式可以应用于梯形断面波浪形底板消力池的自由水跃。研究结果对消力池工程设计有一定的参考价值。Based on the momentum equation,the calculation formula for conjugate water depth of free hydraulic jumps in a trapezoidal cross-section stilling basin with corrugated bed was deduced.The 3D numerical simulation was used to study the free hydraulic jumps in a trapezoidal cross-section stilling basin with corrugated bed by solving the two-phase time-averaged equations closed by the RNG turbulent model.The VOF(volume of fluid)method was applied to track the free water surface,the finite volume method was used to discretize the differential equations and the coupling velocity and pressure equations were solved with the pressure-implicit method of splitting operators(PISO)algorithm.The simulation results show that:The simulation results of the shape,position and size of the hydraulic jump in the trapezoidal cross-section stilling basin are in good agreement with the experimental values and the distribution of streamline,velocity and turbulent kinetic energy in the vertical section of hydraulic jump is similar to that in the rectangular section stilling basin,which shows that the hydraulic characteristics of the free hydraulic jump on corrugated bed of the trapezoidal cross-section stilling basin are similar to that in the rectangular cross-section.And the empirical formula of the free hydraulic jump in the wave shaped stilling basin with rectangular section can be applied to the free hydraulic jump on corrugated bed of the trapezoidal cross-section stilling basin.The research results have certain reference value for stilling basin engineering design.

关 键 词：梯形断面消力池 波浪形底板 共轭水深 数值模拟 水跃长度 

分 类 号：X703[环境科学与工程—环境工程]