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Appl. Sci. 2017, 7(3), 271; doi:10.3390/app7030271

Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer

1
Department of Mathematics, Abdul Wali Khan University, Mardan 32300, Khyber Pakhtunkhwa, Pakistan
2
Basic Engineering Sciences Department, College of Engineering, Majmaah University, Majmaah 11952, Saudi Arabia
3
Department of Mathematics, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia
4
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21577, Saudi Arabia
*
Author to whom correspondence should be addressed.
Academic Editor: Rahmat Ellahi
Received: 31 January 2017 / Revised: 27 February 2017 / Accepted: 3 March 2017 / Published: 10 March 2017
(This article belongs to the Special Issue Recent Developments of Nanofluids)

Abstract

The magnetohydrodynamic thin film nanofluid sprayed on a stretching cylinder with heat transfer is explored. The spray rate is a function of film size. Constant reference temperature is used for the motion past an expanding cylinder. The sundry behavior of the magnetic nano liquid thin film is carefully noticed which results in to bring changes in the flow pattern and heat transfer. Water-based nanofluids like Al 2 O 3 -H 2 O and CuO-H 2 O are investigated under the consideration of thin film. The basic constitutive equations for the motion and transfer of heat of the nanofluid with the boundary conditions have been converted to nonlinear coupled differential equations with physical conditions by employing appropriate similarity transformations. The modeled equations have been computed by using HAM (Homotopy Analysis Method) and lead to detailed expressions for the velocity profile and temperature distribution. The pressure distribution and spray rate are also calculated. The comparison of HAM solution predicts the close agreement with the numerical method solution. The residual errors show the authentication of the present work. The CuO-H 2 O nanofluid results from this study are compared with the experimental results reported in the literature showing high accuracy especially, in investigating skin friction coefficient and Nusselt number. The present work discusses the salient features of all the indispensable parameters of spray rate, velocity profile, temperature and pressure distributions which have been displayed graphically and illustrated. View Full-Text
Keywords: magnetohydrodynamic; nanoliquid thin film; Al2O3-H2O; CuO-H2O; spray; heat transfer; stretching cylinder; homotopy analysis method; numerical method; residual errors; skin friction coefficient; nusselt number magnetohydrodynamic; nanoliquid thin film; Al2O3-H2O; CuO-H2O; spray; heat transfer; stretching cylinder; homotopy analysis method; numerical method; residual errors; skin friction coefficient; nusselt number
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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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MDPI and ACS Style

Khan, N.S.; Gul, T.; Islam, S.; Khan, I.; Alqahtani, A.M.; Alshomrani, A.S. Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer. Appl. Sci. 2017, 7, 271.

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