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Dual Solutions in a Boundary Layer Flow of a Power Law Fluid over a Moving Permeable Flat Plate with Thermal Radiation, Viscous Dissipation and Heat Generation/Absorption

1
Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
2
Department of Mathematics, Penn State University—York Campus, York, PA 17403-3326, USA
*
Author to whom correspondence should be addressed.
Received: 26 November 2017 / Revised: 24 December 2017 / Accepted: 5 January 2018 / Published: 9 January 2018
(This article belongs to the Special Issue Flow and Heat or Mass Transfer in the Chemical Process Industry)
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Abstract

The aim of the present study is to investigate the combined effects of the thermal radiation, viscous dissipation, suction/injection and internal heat generation/absorption on the boundary layer flow of a non-Newtonian power law fluid over a semi infinite permeable flat plate moving in parallel or reversely to a free stream. The resulting system of partial differential equations (PDEs) is first transformed into a system of coupled nonlinear ordinary differential equations (ODEs) which are then solved numerically by using the shooting technique. It is found that the dual solutions exist when the flat plate and the free stream move in the opposite directions. Dimensionless boundary layer velocity and temperature distributions are plotted and discussed for various values of the emerging physical parameters. Finally, the tables of the relevant boundary derivatives are presented for some values of the governing physical parameters. View Full-Text
Keywords: moving plate; power law fluid; viscous dissipation; thermal radiation; suction/injection; heat generation/absorption moving plate; power law fluid; viscous dissipation; thermal radiation; suction/injection; heat generation/absorption
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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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Ahmed, A.; Siddique, J.I.; Sagheer, M. Dual Solutions in a Boundary Layer Flow of a Power Law Fluid over a Moving Permeable Flat Plate with Thermal Radiation, Viscous Dissipation and Heat Generation/Absorption. Fluids 2018, 3, 6.

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