粘塑性流体在旋转圆盘上的流动
Flow of a Viscoplastlc Fluid on a Rotating Disk
-
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.Abstract: The equations describing the flow of a viscoplastic fluid on a rotating disk are de-rived and are solved by perturbation technique and nurmerical computation respectively for 2 cases.This makes it possible to calculate the thickness distribution of film.Twokinds of distribution of thickness have been found.For the viscoplastic fluid for whichboth viscosity and yield stress are independent of radial coordinate r,the thickness h decreases with increasing r.For a Bingham fluid for which both viscosity and yieldstress are function of time and r.the thickness h increases with increasing r.
-
[1] Emslie A.G.,F.T.Bonner and L.G.Peck,Flow of a viscous liquid on a rotating disk,J.Appl.Phys.,29(1958),288. [2] Acrivos A.,M.J.Shah and E.E.Petersen,On the flow of a non-Newtonian liquid on a rotating disk,J.Appl.Phys.,31(1960),936. [3] Shiro Masumoto and Yoichi Takashima,et.al.,Film thickness of a Biagham liquid on a rotating disk,1.& E.C.Fundamentals,21(1983),198. [4] Chen B.T.,Investigation of the solvent-evaporation effect on spin coation of thin films,Polym.Eng.Sci.,23(1983),399. [5] Meyerhofer D.,Characteristics of.resist films produced by spinning,J.Appf.Phvs.49(1978),3993. [6] Jenekhe S.A.and S.B.Schuldt,Flow and film thickness of bingham plastic liquids on a rotating disk,Chem.Eng.Commun.,33(1985),135. [7] Chan.Man Fong C.F.,Cai Fushi and Xu Yuanze,Flow of a casson fluid on a rotating disk,ACTA Mechanica Sinica,3(1987),107.
计量
- 文章访问数: 2185
- HTML全文浏览量: 134
- PDF下载量: 514
- 被引次数: 0