Open AccessThermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls
Author(s) -
David Mwangi Theuri
Publication year - 2014
Publication title -
applied and computational mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.257
H-Index - 16
eISSN - 2328-5613
pISSN - 2328-5605
DOI - 10.11648/j.acm.20140301.11
Subject(s) - couette flow , bejan number , discretization , mechanics , viscosity , nusselt number , magnetohydrodynamics , thermodynamics , mathematics , flow (mathematics) , boundary value problem , mathematical analysis , physics , turbulence , magnetic field , reynolds number , quantum mechanics
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.
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