聚合物压力拖拽流的有限元分析及数值计算

The Research on Finite Element Analysis and Numerical Calculation of Pressure Drag Stream of Polymer

使用基于Navier-Stock方程的牛顿流体模型对压力拖拽流下的低剪切速率聚合物流体进行了数学建模,利用有限元法对计算区域进行网格离散,并采用插值函数得到了流体连续性方程与运动方程的权函数.通过设定网格结点数据、结点坐标及相关边界条件,建立了流变模型的有限元总体方程.其计算结果通过Tecplot软件后处理得到平板间流体流动的速度及压力分布,数值计算结果表明:速度分布在复合条件作用下与在两种边界条件单独作用下完全相等,且压力分布也符合边界条件设定,证明了其求解的正确性;通过更改网格划分及设定方式,此方法亦可用于其他形状规则的牛顿流体二维流变模型有限元分析.

Using Newton fluid model based on Navier-Stock equation, a mathematical model of the tow shear rate polymer fluid under pressure drag and drop flow was carried out. The finite element method is used to calculate the grid discretization, and the interpolation function is used to obtain the weight function of fluid continuity equation and fluid equation of motion. The finite element equation of the rbeolagical model is established by setting the grid node data, the node coordinates and the related boundary conditions. The velocity and pressure distribution of fluid flow in the flat plate were obtained by Tecplot software. The numerical results show that the velocity distribution under the composite condition is equal to that under separate action of two boundary conditions, the pressure distribution is also consistent with the boundary conditions, which proves the correctness of the solution. By changing the meshing and setting method, this method can also be used in the finite element analysis of two dimensional rheological model of other shape rules of Newton fluid.