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Entropy Generation and Heat Transfer Analysis in MHD Unsteady Rotating Flow for Aqueous Suspensions of Carbon Nanotubes with Nonlinear Thermal Radiation and Viscous Dissipation Effect

1
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
2
Department of Physics, Abdul Wali Khan University, Mardan 23200, Pakistan
3
Department of Mathematics, Kohat University of Science and Technology, Kohat 26000, Pakistan
4
Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
5
Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
6
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 492; https://doi.org/10.3390/e21050492
Received: 11 April 2019 / Revised: 5 May 2019 / Accepted: 6 May 2019 / Published: 13 May 2019
PDF [732 KB, uploaded 13 May 2019]

Abstract

The impact of nonlinear thermal radiations rotating with the augmentation of heat transfer flow of time-dependent single-walled carbon nanotubes is investigated. Nanofluid flow is induced by a shrinking sheet within the rotating system. The impact of viscous dissipation is taken into account. Nanofluid flow is assumed to be electrically conducting. Similarity transformations are applied to transform PDEs (partial differential equations) into ODEs (ordinary differential equations). Transformed equations are solved by the homotopy analysis method (HAM). The radiative source term is involved in the energy equation. For entropy generation, the second law of thermodynamics is applied. The Bejan number represents the current investigation of non-dimensional entropy generation due to heat transfer and fluid friction. The results obtained indicate that the thickness of the boundary layer decreases for greater values of the rotation parameter. Moreover, the unsteadiness parameter decreases the temperature profile and increases the velocity field. Skin friction and the Nusselt number are also physically and numerically analyzed.
Keywords: Magnetohydrodynamic (MHD); rotating flow; carbon nanotubes; nonlinear thermal radiation; entropy generation; HAM Magnetohydrodynamic (MHD); rotating flow; carbon nanotubes; nonlinear thermal radiation; entropy generation; HAM
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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Jawad, M.; Shah, Z.; Khan, A.; Khan, W.; Kumam, P.; Islam, S. Entropy Generation and Heat Transfer Analysis in MHD Unsteady Rotating Flow for Aqueous Suspensions of Carbon Nanotubes with Nonlinear Thermal Radiation and Viscous Dissipation Effect. Entropy 2019, 21, 492.

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