|
|||||
|
|
Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks |
|
| Authors: | Si Xinhui Zheng LiancunZhang Xinxin Si Xinyi |
| Affiliation: | a Department of Mathematics and Physics, University of Science and Technology, Beijing 100083, China b Department of Mechanical Engineering, University of Science and Technology, Beijing 100083, China c College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China |
| Abstract: | The present work investigates the effects of the disks contracting, rotation, heat transfer and different permeability on the viscous fluids and temperature distribution between two heated contracting rotating disks. Two cases are considered. For the first case, we neglect the viscous dissipation effects in the energy equation and reduce the Navier-Stokes equations and energy equation into nonlinear coupled ODEs by introducing the Von Kármán type similarity transformations. The effects of various physical parameters like expansion ratio, Prandtl number, Reynolds number and rotation ratio on the velocity and temperature are discussed in detail. The second and more general case is that we consider the viscous dissipation in the energy equation. Under this assumption, the energy equation is reduced to a ordinary differential equation including the Eckert number, whose solution also is solved by HAM. |
| Keywords: | Homotopy analysis method Heat transfer Expanding or contracting porous disks Expansion ratio Viscous dissipation |
| 本文献已被 ScienceDirect 等数据库收录！ | |