Thin film williamson Nanofluid flow with varying viscosity and thermal conductivity on a time-dependent stretching sheet
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 ra...
| Main Authors: | Khan, W., Gul, T., Idrees, M., Islam, S., Khan, I., Dennis, L.C.C. |
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| Format: | Article |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.25706 / |
| Published: |
MDPI AG
2016
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| Online Access: |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006014945&doi=10.3390%2fapp6110334&partnerID=40&md5=35a7901ebe2967c9c814ddbecdb1ff2d http://eprints.utp.edu.my/25706/ |
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| Summary: |
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. © 2016 by the authors; licensee MDPI, Basel, Switzerland. |
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