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Entropy 2015, 17(2), 866-881; doi:10.3390/e17020866

Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method

1
Ship Engineering Department, School of Mechanical Engineering, Maritime University of Chabahar, Chabahar 99717-56499, Iran
2
Graduate School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Gyeongnam 660-701, Korea
3
Department of Aerospace and Software Engineering and Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 660-701, Korea
4
Thermochemical Energy System R&BD Group, Korea Institute of Industrial Technology, Cheonan-si, Chungcheongnam-do 331-822, Korea
*
Author to whom correspondence should be addressed.
Received: 18 November 2014 / Revised: 29 December 2014 / Accepted: 5 February 2015 / Published: 13 February 2015
(This article belongs to the Section Thermodynamics)
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Abstract

Investigation of the effect of thermal radiation on a fully developed magnetohydrodynamic (MHD) convective flow of a Newtonian, incompressible and electrically conducting fluid in a vertical microchannel bounded by two infinite vertical parallel plates with constant temperature walls through a lateral magnetic field of uniform strength is presented. The Rosseland model for the conduction radiation heat transfer in an absorbing medium and two plates with slip-flow and no-slip conditions are assumed. In addition, the induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The non-dimensional governing equations are solved numerically using Runge–Kutta–Fehlberg method with a shooting technique. The channel is optimized based on the Second Law of Thermodynamics by changing various parameters such as the thermal radiation parameter, the temperature parameter, Hartmann number, Grashof to Reynolds ratio, velocity slip length, and temperature jump. View Full-Text
Keywords: thermal radiation; slip boundary; mixed convection; entropy minimization; magnetohydrodynamic (MHD) thermal radiation; slip boundary; mixed convection; entropy minimization; magnetohydrodynamic (MHD)
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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Abdollahzadeh Jamalabadi, M.Y.; Park, J.H.; Lee, C.Y. Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method. Entropy 2015, 17, 866-881.

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