摘要
用Galerkin有限元法对绕后台阶与准方腔耦合流道流场进行数值模拟。数学模型采用的是流函数—涡量形式的N-S方程,分别计算了雷诺数214.2、428.4和642.6三种情况下流场的结构,计算所得瞬态流场和稳态流场以直观速度矢量图和等值线图的形式给出,并绘出了部分纵截面上速度分布剖面图,分析了雷诺数对流场结构的影响。同时应用近年来发展起来的且获得广泛应用的全场瞬时速度测量技术,即粒子图像测速技术PIV)对流场进行了试验研究,所得速度矢量图与数值计算结果吻合较好。计算和试验结果表明:绕后台阶与准方腔流道流场比较复杂,同时具有后台阶流动和方腔流动的结构特征。研究结果对工程实际具有重要意义。
The Galerkin finite element method is applied to calculate the flow field around back-ward facing step coupling with quasi-square cavity. Stream function and vorticity forms of Navier-Stokes equation is adopted as a mathematical model. The flow field structures with different Reynolds number of 214.2, 418.4, 642.6 are computed respectively, the simulation results of transient flow and stead flow field are presented in the forms of stream traces. Parts of the velocity distribution profile along the horizontal and vertical cross-section are also demonstrated. The effects of different Reynolds numbers to the flow field are analyzed. Particle image velocimetry (PIV) technique is used to investigation of the flow field experimentally. The resulting velocity vectors plots of PIV measuring is agreement with that of numerical simulation. Both the investigation of finite element simulation and PIV experiment indicate that the flow field of around back-ward facing step coupling with a quasi-square cavity is complex, the flow field has the feature of mixing of back-ward facing step and lid-driven square cavity flow. The result of this studies have references significant for practical engineering application.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2004年第10期48-55,共8页
Journal of Mechanical Engineering
关键词
后台阶
准方腔
有限元
粒子图像测速技术(PIV)
速度矢量
流线
Back-ward facing step Quasi-square cavity Finite element method Particle image velocimetry(PIV) Velocity vector Stream trace