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Correction published on 7 November 2017, see Entropy 2017, 19(11), 593.

Open AccessArticle
Entropy 2016, 18(4), 147; doi:10.3390/e18040147

Numerical Simulation of Williamson Combined Natural and Forced Convective Fluid Flow between Parallel Vertical Walls with Slip Effects and Radiative Heat Transfer in a Porous Medium

1
Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Korea
2
Department of Mechanical Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj 6616935391, Iran
3
Department of Energy Engineering, Graduate School of the Environment and Energy, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
4
Department of Mechanical Engineering, College of Engineering, Shiraz Branch, Islamic Azad University, Shiraz 71987-74731, Iran
5
Faculty of Engineering, Zanjan University, Zanjan 38791-45371, Iran
*
Author to whom correspondence should be addressed.
Academic Editor: Milivoje M. Kostic
Received: 29 February 2016 / Revised: 5 April 2016 / Accepted: 8 April 2016 / Published: 18 April 2016
(This article belongs to the Section Thermodynamics)
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Abstract

Numerical study of the slip effects and radiative heat transfer on a steady state fully developed Williamson flow of an incompressible Newtonian fluid; between parallel vertical walls of a microchannel with isothermal walls in a porous medium is performed. The slip effects are considered at both boundary conditions. Radiative highly absorbing medium is modeled by the Rosseland approximation. The non-dimensional governing Navier–Stokes and energy coupled partial differential equations formed a boundary problem are solved numerically using the fourth order Runge–Kutta algorithm by means of a shooting method. Numerical outcomes for the skin friction coefficient, the rate of heat transfer represented by the local Nusselt number were presented even as the velocity and temperature profiles illustrated graphically and analyzed. The effects of the temperature number, Grashof number, thermal radiation parameter, Reynolds number, velocity slip length, Darcy number, and temperature jump, on the flow field and temperature field and their effects on the boundaries are presented and discussed. View Full-Text
Keywords: radiative heat transfer; slip effects; natural convection; forced convection; microchannel; porous medium radiative heat transfer; slip effects; natural convection; forced convection; microchannel; porous medium
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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

Abdollahzadeh Jamalabadi, M.Y.; Hooshmand, P.; Bagheri, N.; KhakRah, H.; Dousti, M. Numerical Simulation of Williamson Combined Natural and Forced Convective Fluid Flow between Parallel Vertical Walls with Slip Effects and Radiative Heat Transfer in a Porous Medium. Entropy 2016, 18, 147.

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