An investigation of magnetohydrodynamic Maxwell fluid flow on accelerating porous surface using Spectral Homotopy Analysis Method
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Date
2019
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Publisher
Journal of Science, Technology, Mathematics and Education (JOSTMED), Federal University of Technology, Minna.
Abstract
This paper investigates the viscous dissipation Magnetohydrodynamic (MHD) convective flow of Maxwell fluid along a porous accelerating surface in the presence of radiation, buoyancy and heat generation. The Rosseland approximation for optically thick fluid is considered. The physical model is governed by highly nonlinear equations which were transformed using similarity variables and solution technique adopted is Spectral Homotopy Analysis Method (SHAM) which is carried out up to 5^th order of approximation. The influence of pertinent flow parameters on the velocity and temperature are presented both in tabular and graphical forms. A hike in the Eckert number gives a fall in both the velocity and temperature profiles. It is observed that a rise in the Deborah number accelerates the velocity profile but decreases the temperature profile while the magnetic field parameter produces an opposition to the flow. It is found that increasing the radiation parameter produces a significant increase in the thermal condition of the fluid temperature. The numerical results are in better agreement with the existing ones in literature.
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Keywords
Heat transfer buoyancy, MHD, Spectral Homotopy Analysis Method, Thermal radiation, Viscous dissipation