Abstract
Influence of radiation and non-uniform heat source on unsteady, magneto-hydrodynamic free convection flow of viscous incompressible fluid past an infinite vertical heated plate embedded in porous medium of an optically thin environment with time dependent suction and viscous dissipation is investigated in this paper. Analytical solutions of the coupled non-linear equations are obtained for the velocity field and temperature distribution using oscillating time-dependent perturbation technique. Expressions for skin-friction and heat transfer rate are also derived. The effects of the material parameters on velocity, temperature, skin-friction, and rate of heat transfer are discussed quantitatively.
Highlights
The study of magneto hydrodynamic natural convection flow and heat transfer of an electrically conducting fluid past a heated semiinfinite vertical porous plate finds useful applications in many engineering problems such as MHD generators, nuclear reactors, geothermal extractions, heat exchanger devices and boundary layer control in the field of aeronautics and aerodynamics.Because of numerous applications in several engineering and industrial manufacturing processes, such flows have got renewed interest among researchers
The aim of the present investigation is to study the influence of radiation, variable suction and non-uniform heat source/sink on unsteady hydromagnetic free convection flow of a viscous fluid past a heated vertical porous plate taking into account the viscous dissipation
We considered both the space and the temperature dependent heat source/sink followed by Abo-Eldahab and ElAziz (2004) and Abel et al (2007)
Summary
The study of magneto hydrodynamic natural convection flow and heat transfer of an electrically conducting fluid past a heated semiinfinite vertical porous plate finds useful applications in many engineering problems such as MHD generators, nuclear reactors, geothermal extractions, heat exchanger devices and boundary layer control in the field of aeronautics and aerodynamics. Bestman & Adjepong (1988) investigated free convection unsteady flow considering radiative heat transfer in a rotating fluid under the influence of uniform magnetic field. Azzam (2002) studied a similar problem for the effects of radiation on the flow and heat transfer past a moving vertical plate in the presence of magnetic field. Cookey et al (2003) investigated the influence of viscous dissipation and radiation in unsteady MHD free convection flow past an infinite vertical heated plate in the optically thin environment with variable suction and used radiative heat flux in differential form. The aim of the present investigation is to study the influence of radiation, variable suction and non-uniform heat source/sink on unsteady hydromagnetic free convection flow of a viscous fluid past a heated vertical porous plate taking into account the viscous dissipation. We considered both the space and the temperature dependent heat source/sink followed by Abo-Eldahab and ElAziz (2004) and Abel et al (2007). Basu et al (2011) have studied Radiation and mass transfer effects on transient free convection flow of dissipative fluid past semi–infinite vertical plate with uniform heat and mass flux
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