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Impact of Thermal Radiation and Heat Source/Sink on MHD Time-Dependent Thin-Film Flow of Oldroyed-B, Maxwell, and Jeffry Fluids over a Stretching Surface

1
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Dongxiang Road, Chang’an District, Xi’an 710129, China
2
Department of Mathematics, Abdul Wali Khan University, Mardan 32300, KP, Pakistan
*
Author to whom correspondence should be addressed.
Processes 2019, 7(4), 191; https://doi.org/10.3390/pr7040191
Received: 1 March 2019 / Revised: 26 March 2019 / Accepted: 27 March 2019 / Published: 2 April 2019
(This article belongs to the Special Issue Thin Film Processes)
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Abstract

In this study paper, we examined the magnetohydrodynamic (MHD) flow of three combined fluids, Maxwell, Jeffry, and Oldroyed- B fluids, with variable heat transmission under the influence of thermal radiation embedded in a permeable medium over a time-dependent stretching sheet. The fluid flow of liquid films was assumed in two dimensions. The fundamental leading equations were changed to a set of differential nonlinear and coupled equations. For this conversion, suitable similarity variables were used. An optimal tactic was used to acquire the solution of the modeled problems. The convergence of the technique has been shown numerically. The obtained analytical and numerical consequences are associated graphically and tabulated. An excellent agreement was obtained between the homotropy analysis method (HAM) and numerical methods. The variation of the skin friction and Nusslet number and their influence on the temperature and concentration profiles were scrutinized. The influence of the thermal radiation, unsteadiness effect, and MHD were the main focus of this study. Furthermore, for conception to be physically demonstrated, the entrenched parameters are discussed graphically in detail along with their effect on liquid film flow. View Full-Text
Keywords: Jeffrey, Maxwell, Oldroyed-B fluids; unsteady stretching surface; magnetic field; homotropy analysis method (HAM) Jeffrey, Maxwell, Oldroyed-B fluids; unsteady stretching surface; magnetic field; homotropy analysis method (HAM)
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Khan, A.S.; Nie, Y.; Shah, Z. Impact of Thermal Radiation and Heat Source/Sink on MHD Time-Dependent Thin-Film Flow of Oldroyed-B, Maxwell, and Jeffry Fluids over a Stretching Surface. Processes 2019, 7, 191.

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