Abstract
In this work, effects of Hall current and suction/injection on a steady, viscous, incompressible and electrically conducting third grade fluid past a semi-infinite plate with entropy generation is investigated. It is assumed that the fluid motion is induced by applied pressure gradient. Hot fluid is injected with a constant velocity at the injection wall while it is sucked off at the upper wall with the same velocity. The governing equations of Navier-Stoke, energy and entropy generation obtained are non-dimensionalised, the resulting dimensionless velocity and temperature profiles are solved by Adomian decomposition technique due to the nonlinearity of the coupled system of equations. The obtained solution for the velocity profile is validated by the exact solution and the existing one in literature at M = 0 and the analytical expressions for fluid velocity and temperature are utilized to calculate the entropy generation and irreversibility ratio. Various plots are presented and discussed. It is found that increasing Hall current parameter increases primary velocity, temperature, entropy generation and Bejan number while the reverse trend is observed when both suction/injection and magnetic field parameters are increased. It is also noticed that entropy production at the upper wall is due to heat transfer.
Highlights
The study of magnetohydrodynamic flow has been extensively investigated in the past years as a result of its applications in plasma studies, MHD generators, nuclear reactor, metal purification, geothermal energy extractions, polymer technology and metallurgy
Numerous qualitative investigations with outstanding results have been conducted by various researchers such as Adesanya and Makinde (2012) used Eyring–Powell model to investigate heat transfer to magnetohydrodynamic non-Newtonian couple stress pulsatile flow between two parallel porous plates, Hassan and Gbadeyan (2015) examined a reactive hydromagnetic internal heat generating fluid flow through a channel
MutukuNjane and Makinde (2013) employed fourth-order Runge-Kutta with shooting technique to study the effects of buoyancy force and Navier slip on MHD flow of a Nanofluid over convectively heated vertical porous plates
Summary
The study of magnetohydrodynamic flow has been extensively investigated in the past years as a result of its applications in plasma studies, MHD generators, nuclear reactor, metal purification, geothermal energy extractions, polymer technology and metallurgy. Hall current occurs in a situation where the applied magnetic field is very strong or an ionized gas with low density leading to a reduction in conductivity normal to the magnetic field, as a result of the free spiraling of electrons and ions around the magnetic lines of force before collisions. This induces a current in direction normal to both electric and magnetic fields. The rest of this work is organized as follows: section 2 presents the flow analysis and nondimensionalisation of the governing equations, in section 3 analytical solution by Adomian method is constructed, and in section 4 graphical results are presented and discussed based on the physics of the problem while section 5 concludes the work
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