- 作者: Shih, Yen-Ping; Hwang, Chyi
- 作者服務機構: Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
- 中文摘要: --
- 英文摘要:
A perturbation method is used to study the velocity distribution of the
velocity boundary layer of a rotating sphere in power-law non-Newtonian fluids.
After a suitable transformation of the coordinate variables, the velocity components
are expressed in series of the angle measured from the axis of rotation. The velocity
functions of the coefficients of the velocity components are described by ordinary
differential equations with the flow index as the only parameter. Extensive compu-
tational results are given for the velocity functions and the torque of the rotating
sphere for different values of the flow index. Four terms of the asymptotic
expansions are quite well to describe the velocity distributions. Lighthill appro-
ximation is used to study the heat transfer of the rotating sphere under laminar
boundary layer approximation. Likewise, an appropriate coordinate transformation
and a series expansion in terms of the angle measured from the axis of rotation are
used to obtain the temperature distribution as well as the heat transfer rate. The
coefficients of the asymptotic series are described by second-order ordinary differential
equations with the flow index as the only parameter. Extensive computational
results are given for the coefficients and the heat transfer rate. - 中文關鍵字: --
- 英文關鍵字: --