粘塑性流体在旋转圆盘上的流动

本文对两种情况导出了描述粘塑性流体在旋转圆盘上流动的基本方程.分别用摄动方法和数值方法得到了方程的解.这就有可能去计算薄膜的厚度分布.经计算发现有两种类型的厚度分布.对于粘度和屈服应力都与径向坐标r无关的粘塑性流体,厚度h随r的增加而减小.对于粘度和屈服应力都是时间和r的函数的Bingham流体,厚度h随r的增加而增加.

Flow of a Viscoplastlc Fluid on a Rotating Disk

The equations describing the flow of a viscoplastic fluid on a rotating disk are derived and are solved by perturbation technique and numerical computation respectively for 2 cases. This makes it possible to calculate the thickness distri-bution of film. Two kinds of distribution of thickness have been found. For the viscoplastic fluid for which both viscosity and yield stress are independent radial coordinate r, the thickness h decreases with increasing r. For a Bingham fluid for which both viscosity and yield stress are functions of time and r, the thick-ness h increases with increasing r.