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Heat transfer analysis of Williamson fluid over exponentially stretching surface

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    S. Nadeem & S. T. Hussain

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  1. S. Nadeem
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  2. S. T. Hussain
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Correspondence to S. Nadeem.

Additional information

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

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Nadeem, S., Hussain, S.T. Heat transfer analysis of Williamson fluid over exponentially stretching surface. Appl. Math. Mech.-Engl. Ed. 35, 489–502 (2014). https://doi.org/10.1007/s10483-014-1807-6

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  • DOI: https://doi.org/10.1007/s10483-014-1807-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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