摘要
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。
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.
出处
《应用数学和力学》
CSCD
北大核心
1994年第5期421-427,共7页
Applied Mathematics and Mechanics
关键词
旋转圆盘
流动
粘塑性流体
flow on a rotating disk, viscoplastic fluid, thickness distribution of film
