Abstract
An analysis of two-dimensional steady magneto-hydrodynamic free convection flow of an electrically conducting, viscous, incompressible fluid past an inclined stretching porous plate in the presence of a uniform magnetic field and thermal radiation with heat generation is made. Both the Dufour and Soret effects are considered for a hydrogen-air mixture as the non-chemically reacting fluid pair. The equations governing the flow, temperature and concentration fields are reduced to a system of joined non-linear ordinary differential equations by similarity transformation. Non-linear differential equations are integrated numerically by using Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. Finally the significance of physical parameters which are of engineering interest are examined both in graphical and tabular form.
Highlights
IntroductionA significant type of flow, in presence of magnetic field and radiation over a moving continuous and linearly stretched surface has been receiving wide attention due to its applications in engineering, electro-chemistry, Gorla [1], Chin [2] and polymer processing, Erickson [3]
Laminar boundary layer flow, a significant type of flow, in presence of magnetic field and radiation over a moving continuous and linearly stretched surface has been receiving wide attention due to its applications in engineering, electro-chemistry, Gorla [1], Chin [2] and polymer processing, Erickson [3]
Materials manufactured by aerodynamic extrusion processes and heat-treated materials traveling between a feed roll and a wind-up roll or on a conveyor belt possess the characteristics of a moving continuous stretching surface
Summary
A significant type of flow, in presence of magnetic field and radiation over a moving continuous and linearly stretched surface has been receiving wide attention due to its applications in engineering, electro-chemistry, Gorla [1], Chin [2] and polymer processing, Erickson [3]. By using the Rosseland diffusion approximation [8], a study of the unsteady mixed convection flow of an optically dense viscous incompressible fluid past a heated vertical plate with a free uniform stream velocity and surface temperature was made by Hossain and Takhar [13]. Postelnicu [16] studied numerically the influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. The present paper is the investigation of the Dufour and Soret effects of an electrically conducting viscous incompressible fluid interaction with thermal radiation on the flow over an inclined linearly stretched sheet in the presence of heat and mass transfer permitted by a transversely applied uniform magnetic field with heat generation taking into account the Rosseland diffusion approximation. The investigation is based on known similarity analysis and the local similarity solutions are obtained numerically
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