Heat transfer analysis of Williamson fluid over exponentially stretching surface  

作　　者：S.NADEEM S.T.HUSSAIN 

机构地区：[1]Department of Mathematics, Quaid-i-Azam University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第4期489-502,共14页应用数学和力学（英文版）

基　　金：supported by the Ph.D.Indigenous Scheme of the Higher Education Commission of Pakistan(No.112-21674-2PS1-576)

摘　　要：This study explores the effects of heat transfer on the Williamson fluid over a porous exponentially stretching surface. The boundary layer equations of the Williamson fluid model for two dimensional flow with heat transfer are presented. Two cases of heat transfer are considered, i.e., the prescribed exponential order surface temperature （PEST） case and the prescribed exponential order heat flux （PEHF） case. The highly nonlinear partial differential equations are simplified with suitable similar and non-similar variables, and finally are solved analytically with the help of the optimal homotopy analysis method （OHAM）. The optimal convergence control parameters are obtained, and the physical fea- tures of the flow parameters are analyzed through graphs and tables. The skin friction and wall temperature gradient are calculated.This study explores the effects of heat transfer on the Williamson fluid over a porous exponentially stretching surface. The boundary layer equations of the Williamson fluid model for two dimensional flow with heat transfer are presented. Two cases of heat transfer are considered, i.e., the prescribed exponential order surface temperature （PEST） case and the prescribed exponential order heat flux （PEHF） case. The highly nonlinear partial differential equations are simplified with suitable similar and non-similar variables, and finally are solved analytically with the help of the optimal homotopy analysis method （OHAM）. The optimal convergence control parameters are obtained, and the physical fea- tures of the flow parameters are analyzed through graphs and tables. The skin friction and wall temperature gradient are calculated.

关 键 词：optimal homotopy analysis method （OHAM） Williamson fluid expo-nential stretching permeable wall heat transfer prescribed exponential order surfacetemperature （PEST） prescribed exponential order heat flux （PEHF） 

分 类 号：O647[理学—物理化学]