Heat transfer analysis of Williamson fluid over exponentially stretching surface

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 prescrib...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2014-04, Vol.35 (4), p.489-502
Main Authors: Nadeem, S., Hussain, S. T.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Computational fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Fluids
Heat transfer
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Partial Differential Equations
Stretching
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-014-1807-6