Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 35, Issue 4, Pages 489-502Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-014-1807-6
Keywords
optimal homotopy analysis method (OHAM); Williamson fluid; exponential stretching; permeable wall; heat transfer; prescribed exponential order surface temperature (PEST); prescribed exponential order heat flux (PEHF)
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Funding
- Ph.D. Indigenous Scheme of the Higher Education Commission of Pakistan [112-21674-2PS1-576]
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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 features of the flow parameters are analyzed through graphs and tables. The skin friction and wall temperature gradient are calculated.
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