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Appl. Sci. 2016, 6(11), 334; doi:10.3390/app6110334

Thin Film Williamson Nanofluid Flow with Varying Viscosity and Thermal Conductivity on a Time-Dependent Stretching Sheet

Departement of Mathematics, Islamia College Peshawar, Peshawar 25000, Pakistan
Higher Education Department Khyber Pakhtunkhwa, Peshawar 25000, Pakistan
Departement of Mathematics, Abdul Wali Khan University, Mardan 32300, Pakistan
Department of Mathematics, College of Engineering, Majmaah University, Majmaah 31750, Saudi Arabia
Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Perak 32610, Malaysia
Authors to whom correspondence should be addressed.
Academic Editor: Rahmat Ellahi
Received: 17 August 2016 / Revised: 18 October 2016 / Accepted: 21 October 2016 / Published: 15 November 2016
(This article belongs to the Special Issue Recent Developments of Nanofluids)


This article describes the effect of thermal radiation on the thin film nanofluid flow of a Williamson fluid over an unsteady stretching surface with variable fluid properties. The basic governing equations of continuity, momentum, energy, and concentration are incorporated. The effect of thermal radiation and viscous dissipation terms are included in the energy equation. The energy and concentration fields are also coupled with the effect of Dufour and Soret. The transformations are used to reduce the unsteady equations of velocity, temperature and concentration in the set of nonlinear differential equations and these equations are tackled through the Homotopy Analysis Method (HAM). For the sake of comparison, numerical (ND-Solve Method) solutions are also obtained. Special attention has been given to the variable fluid properties’ effects on the flow of a Williamson nanofluid. Finally, the effect of non-dimensional physical parameters like thermal conductivity, Schmidt number, Williamson parameter, Brinkman number, radiation parameter, and Prandtl number has been thoroughly demonstrated and discussed. View Full-Text
Keywords: Williamson fluid; unsteady flow; nanofluid film; HAM and numerical method Williamson fluid; unsteady flow; nanofluid film; HAM and numerical method

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Khan, W.; Gul, T.; Idrees, M.; Islam, S.; Khan, I.; Dennis, L. Thin Film Williamson Nanofluid Flow with Varying Viscosity and Thermal Conductivity on a Time-Dependent Stretching Sheet. Appl. Sci. 2016, 6, 334.

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