旋转库特流中的有限元法

The Finite Element Method of Rotary Couette-Poiseuille Flow

讨论了旋转管式膜器环隙间定常流动的有限元解法。首先给出了定常流动的解析解 ;其次 ,根据流体力学方程建立了元素方程组 ,并将元素方程组汇总成总体方程组 ,归纳了旋转库特流定常流动的有限元算法。最后 ,通过给定的参数计算了旋转库特流切向速度分布的数值解 ,并绘制了相应的切向速度分布曲线。

The finite element method of rotary Couette Poiseuille flow in annular gap of rotary tubular membrane separator was discussed in this paper. At first, the analytical solution of the steady flow was obtained. Then the whole equations were obtained by constructing the element equations of the fluid equation, and the algorithm was given out at the same time. Finally, the numerical solutions of the azimuthal velocity were calculated and the corresponding distribution curves were draw out by assuming some parameters of the flow.