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Appl. Sci. 2018, 8(4), 482; doi:10.3390/app8040482

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

1
Department of Mathematics, Islamia College, Peshawar 25000, KP, Pakistan
2
Department of Mathematics, Cecos University of Information Technology & Emerging Science, Peshawar 25000, KP, Pakistan
3
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, KP, Pakistan
4
Gandhara Institute of Science & Technology, South Canal Road, Peshawar 2500, KP, Pakistan
*
Author to whom correspondence should be addressed.
Received: 13 February 2018 / Revised: 16 March 2018 / Accepted: 19 March 2018 / Published: 22 March 2018
(This article belongs to the Special Issue Multi-Walled Carbon Nanotubes)
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Abstract

The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter ( R d ) , magnetic parameter ( M ) , rotation parameter ( K ), Prandtl number ( P r ), Biot number ( λ ) , and heat generation or absorption parameter ( Q h ) are plotted and deliberated graphically. View Full-Text
Keywords: Single-Walled Carbon Nanotube (SWCNT); Multi-Walled Carbon Nanotube (MWCNT); MHD; Casson model; stretching sheet; non-linear thermal radiation; HAM Single-Walled Carbon Nanotube (SWCNT); Multi-Walled Carbon Nanotube (MWCNT); MHD; Casson model; stretching sheet; non-linear thermal radiation; HAM
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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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Muhammad, S.; Ali, G.; Shah, Z.; Islam, S.; Hussain, S.A. The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption. Appl. Sci. 2018, 8, 482.

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