Browsing by Author "Yusuf, T.A."
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Item DTM-Pade solution for heat transfer of hydromagnetic flow over a vertical plate(Journal of Nigerian Association of Mathematical Physics, Nigerian Association of Mathematical Physics., 2016) Idowu, A.S.; Dada, M.S.; Babalola, O.T.; Yusuf, T.A.; Are, E.B.This study deals with heat transfer of hydromagnetic flow over a vertical plate. The similarity solution is used to transform the system of partial Differential equations to ordinary non-linear Differential equations. The non-linear equations of the flow field had been solved using Differential transformation method empowered by Pade approximants which compared well with the fourth order Runge-Kutta method. The results are presented graphically and discussed. It is found that power index, variable magnetic field, prandtl and other quantities of physical interest significantly influenced the velocity and temperature profile.Item Effects of partial slippage and couple stresses on entropy generation in a porous channel filled with highly porous medium(Ilorin Journal of Science. Faculty of Physical Sciences, University of Ilorin. Ilorin., 2015) Gbadeyan, J.A.; Yusuf, T.A.; Dada, M.S.; Akinremi, J.O.This work investigates the influence of slip condition and couple stresses on entropy generation rate in a steadyflow of an incompressible viscous fluid through a porous channel occupied by a highly porous medium withsuction/injection. It is assumed that the “no-slip” condition at one of the walls of the channel is no longer validfor both velocity and temperature. Also the porous medium is the non-Darcian type known as the Darcyextended Brinkman-Forchheimer model. Semi-Analytical solutions of the dimensionless momentum and energyequations are obtained using Differential transform method (DTM). The approximate solutions for velocity andtemperature are used to compute the Entropy generation rate, Bejan number and the Irreversibility distributionratio in the flow field. The variation of the velocity and temperature fields are examined for various values ofcouple stresses parameter, slip parameter, Brinkman number, entropy generation number, Darcy number,Nusselt number, skin fiction and other parameters. It is found that each of these parameters has significant effecton the velocity, temperature and Entropy generation rate profiles.