三角形波浪底板消力池自由水跃水力特性的数值模拟  

Numerical simulation study of hydraulic characteristics of free hydraulic jump on triangular corrugated beds of stilling basin

作　　者：魏文礼[1] 李小欢[1] 洪云飞[1] 刘玉玲[1] 

机构地区：[1]西安理工大学西北旱区生态水利工程国家重点实验室,陕西西安710048

出　　处：《武汉大学学报（工学版）》2017年第2期207-212,227,共7页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:51178391);陕西省科学研究计划项目(编号:2014K15-03-05);中央财政支持地方高校发展专项资金特色重点学科项目(编号:106-00X101)

摘　　要：自由液面的捕捉应用VOF法,气液两相流时均方程采用RNG湍流模型封闭,采用数值模拟的方法计算了6种工况下,三角形波浪底板消力池自由水跃的流体力学特性.采用有限体积法离散微分方程,速度与压力耦合求解使用了压力隐式算子分裂PISO(Pressure-Implicit with Splitting of Operators)算法.研究发现:波浪形底板表面附近有漩涡产生,漩涡沿顺时针方向旋转,漩涡的尺寸沿程逐渐减小;沿程横断面上的最大流速在不同工况下有相似的衰减规律;在闸门附近产生紊动耗散率和紊动动能最大值及最大变化梯度,随进口弗劳德数的增大紊动能和耗散率最大值也增大;理论消能率和实际消能率均随进口弗劳德数增大而增大.The volume of fluid （VOF） method is applied to track the free water surface, and the RNG k-ε turbulent model is used to close the two-phase flow time-averaged equations. The hydraulic characteristics of free hydraulic jumps on triangular corrugated beds of a stilling basin under 6 kinds of conditions are studied by numerical simulation. The finite volume method is used to discretize the differential equations; and the coupling velocity and pressure equations are solved with the pressure-implicit method of splitting operators （PISO） algorithm. The research results show. near the corrugated beds surface generates vorte- xes rotating clockwise, whose dimensions gradually reduce along the flow direction. The variation of the maximum velocities on cross-sections along the flow direction under different conditions are similar. The maximum values and the maximum gradients of turbulent kinetic energy and dissipation rate occur near the gate; and with an increase of the inlet cross-sectional Froude number,the maximum values of turbulent ki- netic energy and dissipation rate increases. The theoretical and actual energy dissipation rates increase with an increase of the inlet cross-sectional Froude number.

关 键 词：三角形波浪底板 明渠流 数值模拟 水跃长度 消能率 

分 类 号：TV135[水利工程—水力学及河流动力学]