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Entropy 2015, 17(11), 7811-7826; doi:10.3390/e17117811

Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects

1
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
2
Department of Mathematics and Statistics, Namibia University of Science and Technology, Private Bag 13388, 13 Storch street, Windhoek, Namibia
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 21 July 2015 / Revised: 22 October 2015 / Accepted: 26 October 2015 / Published: 20 November 2015
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Abstract

In this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined influence of magnetic field and Hall current. The non-linear governing differential equations are obtained and solved numerically using shooting method coupled with fourth order Runge–Kutta–Fehlberg integration technique. Numerical results obtained for velocities and temperature profiles are utilized to determine the entropy generation rate, skin fictions, Nusselt number and the Bejan number. By plotting the graphs of various values of thermophysical parameters, the features of the flow characteristics are analyzed in detail. It is found that fluid rotation increases the dominant effect of heat transfer irreversibility at the upper moving plate region while the entropy production is more at the lower fixed plate region. View Full-Text
Keywords: MHD couette flow; rotating system; variable viscosity; Hall effects; entropy analysis MHD couette flow; rotating system; variable viscosity; Hall effects; entropy analysis
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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

Makinde, O.D.; Eegunjobi, A.S.; Tshehla, M.S. Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects. Entropy 2015, 17, 7811-7826.

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