Abstract
This paper investigates the effects of internal heat generation on the steady flow of an incompressible and electrically conducting fluid flowing through a channel made up of two parallel porous plates with isothermal wall temperature, under the influence of a transverse magnetic field strength and temperature dependent heat source. The variable of an internal heat generation is assumed to be a linear function of temperature. The semi-analytical solutions of the equations governing the fluid flow are obtained for velocity and temperature profiles using a rapidly convergent Adomian decomposition method (ADM). Attention is focused on the influence of internal heat generation on the velocity and temperature profiles and the effects of other various physical parameters such as porous medium permeability parameter, viscous heating parameter, pressure gradient and magnetic field intensity on the fluid flow are also presented and discussed.
Highlights
The studies relating to flow of fluids between two parallel plates are on the increase due to its numerous applications in many industrial and engineering processes like in accelerators, aerodynamic heating, polymer technology, purification of crude oil and magnetohydrodynamics (MHD) generators
Lot of research works concerning the fluid flow between two parallel plates has been obtained under different physical effects (HAZEEM, 2006, 2008; JHA and AJIBADE, 2009; MAKINDE and ANWAR BEG, 2010; HASSAN and FENUGA, 2011; ADESANYA and MAKINDE, 2012; HASSAN and GBADEYAN, 2015)
We discuss the effects of the internal heat generation together with other important flow parameters on the hydromagnetic fluid flow between two parallel porous plates with an isothermal wall temperature
Summary
The studies relating to flow of fluids between two parallel plates are on the increase due to its numerous applications in many industrial and engineering processes like in accelerators, aerodynamic heating, polymer technology, purification of crude oil and magnetohydrodynamics (MHD) generators. The study of heat generation or absorption effects in moving fluids is important in view of several physical problems, such as fluids undergoing exothermic and endothermic chemical reactions (HASSAN and GBADEYAN, 2015). Possible heat generation effects may alter the temperature distribution as well as the particle deposition rate of the fluid flow. SEDDEK (2005) studied the effects of chemical reaction, thermophoresis and variable viscosity on steady hydromagnetic flow with heat and mass transfer over a flat plate in the presence of heat generation/absorption. PATIL and KULKARNI (2008) studied the effects of chemical reaction on free convective flow of a polar fluid through porous medium in the presence of internal heat generation
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