基于涡量速度法,推导出单螺杆挤出机内三维流动无因次控制方程,提出了一种求解非牛顿流的新方法.采用交错网格,对挤出机内的幂律流体三维流动进行了有限体积方法数值模拟,得到了螺槽内的速度分布.提出了Galerkin速度逼近方法,利用Largrange插值获得速度场.借助4阶Runge-Kutta方法对流体质点运动进行数值积分追踪,对螺槽内的层流混合进行了表征.发现了界面拉伸过程中不同初始位置的示踪剂界面拉伸总体呈线性增长,但伴有周期性振荡效应.这种效应在贴近螺壁面的流体单元表现最大,甚至超过了界面平均增长的量级.
The dimensionless control equations of three dimensional flow in single screw extruder is developed in terms of velocity and vertorcity, and then a new method for solving the Non-Newtionian flow is presented.A staggered grid arrangement is used.The galerkin approximation of velocities is derived and the Largrange interpolation method is used for interface tracing.The tracer is numerically integrated by the fourth order Runge-Kutta scheme.The evolutions of tracers are captured when time is forward.The interface stretch of the tracers from different initial positions reveal that growth of interfaces fall on the whole onto the linear relations accompanied by periodic oscillation effect.As to the tracer near the channel walls, this effect manifests so obvious that the contribution to the interface stretch even exceeds the orders of the average linear growth.
参考文献
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