Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls
Applied and Computational Mathematics
Volume 3, Issue 1, February 2014, Pages: 1-8
Received: Sep. 23, 2013; Published: Jan. 20, 2014
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Authors
David Theuri, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
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Abstract
The thermodynamic first and second law analyses of a temperature dependent viscosity hydromagnetic generalized unsteady Couette flow with permeable walls is investigated. The transient model problem for momentum and energy balance is tackled numerically using a semi-discretization method while the steady state boundary value problem is solved by shooting method together with Runge-Kutta-Fehlberg integration scheme. The velocity and the temperature profiles are obtained and are utilized to compute the skin friction coefficient, Nusselt number, entropy generation rate and the Bejan number. Pertinent results are presented graphically and discussed quantitatively.
Keywords
Unsteady Couette Flow, Magnetic Field, Variable Viscosity, Permeable Walls, Heat Transfer, Entropy Generation, Bejan Number
To cite this article
David Theuri, Oluwole Daniel Makinde, Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls, Applied and Computational Mathematics. Vol. 3, No. 1, 2014, pp. 1-8. doi: 10.11648/j.acm.20140301.11
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