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Influence of Inclined Magnetic Field on Carreau Nanoliquid Thin Film Flow and Heat Transfer with Graphene Nanoparticles

1
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Khyber Pakhtunkhwa, Pakistan
2
Department of Mathematics, City University of Science & Information Technology, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
3
KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
4
KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
5
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
6
Department of Mathematics, Kohat University of Science & Technology, Kohat 26000, Khyber Pakhtunkhwa, Pakistan
7
Department of Mathematics, Abasyn University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
8
Department of Mathematics, Islamia College University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan
*
Authors to whom correspondence should be addressed.
Energies 2019, 12(8), 1459; https://doi.org/10.3390/en12081459
Received: 28 January 2019 / Revised: 21 March 2019 / Accepted: 9 April 2019 / Published: 17 April 2019
(This article belongs to the Special Issue Fluid Mechanics and Thermodynamics: Theory, Methods and Applications)
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Abstract

The thermodynamics of a Carreau nanoliquid thin film embedded with graphene nanoparticles past a stretching sheet is studied in the presence of inclined magnetic field and non-uniform heat source/sink. Graphene is a new two-dimensional amphiphilic macromolecule which has great applications due to its electrical and mechanical properties. The basic constitutive equations of Carreau nanoliquid for velocity and temperature have been used. Similarity transformations are adopted to achieve the nonlinear coupled differential equations accompanying boundary conditions embedded with different parameters. HAM (Homotopy Analysis Method) is used to solve the transformed equations for expressions of velocity and temperature. Graphs are shown which illustrate the effects of various parameters of interest. There exists a nice agreement between the present and published results. The results are useful for the thermal conductivity and in the analysis and design of coating processes. View Full-Text
Keywords: graphene nanoparticles; nanoliquid thin film; Carreau fluid; heat transfer; stretching sheet; homotopy analysis method graphene nanoparticles; nanoliquid thin film; Carreau fluid; heat transfer; stretching sheet; homotopy analysis 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, N.S.; Gul, T.; Kumam, P.; Shah, Z.; Islam, S.; Khan, W.; Zuhra, S.; Sohail, A. Influence of Inclined Magnetic Field on Carreau Nanoliquid Thin Film Flow and Heat Transfer with Graphene Nanoparticles. Energies 2019, 12, 1459.

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