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Math. Comput. Appl. 2018, 23(2), 20; https://doi.org/10.3390/mca23020020

# Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface

2,* , 2
and
1
Department of Mathematics, Qurtuba University of Science and Information Technology, Peshawar 25000, Pakistan
2
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
3
Department of Mathematics, Islamia College, Peshawar 25000, Pakistan
4
Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 5 April 2018 / Revised: 5 April 2018 / Accepted: 5 April 2018 / Published: 9 April 2018
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# Abstract

The main intention of this article is to examine the heat transmission of the flow of Eyring–Powell fluid over an unstable oscillatory porous stretching surface. The effect of thermal radiation on the fluid flow is investigated, where the flow is actuated by the unbounded flexible surface which is extended occasionally to and fro on its plane. The rudimentary leading equations are changed to differential equations through the use of applicable similarity variables. An optimal and numerical approach was used to find the solution to the modeled problems. The convergence of the homotopy analysis method (HAM) is shown numerically. The homotopy analysis method predictions of the structures formed are in close agreement with the obtained results from the numerical method. Comparisons between HAM and numerical methods are shown graphically as well as numerically. The convergence of this method is shown numerically. The impacts of the skin friction and heat flux are shown through a table. The influence of the porosity, oscillation, thermal radiation, and heat absorption/generation are the main focus of this work. The consequences of emerging parameters are demonstrated through graphs. View Full-Text
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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).

MDPI and ACS Style

Dawar, A.; Shah, Z.; Idrees, M.; Khan, W.; Islam, S.; Gul, T. Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface. Math. Comput. Appl. 2018, 23, 20.

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