Abstract
This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation. The fluid considered is a gray, absorbingemitting radiation but a non-scattering medium, with approximate transformations the boundary layer governing the flow are reduced to non-dimensional equations valid in the free convection regime. The dimensionless governing equations are solved by the finite element method.
Highlights
The experimental and theoretical studies of magnetohydrodynamics flows are important from a technological point of view, because they have many applications, as for examples in magnetohydrodynamics electrical power generation, geophysics etc.The influence of a magnetic field on viscous incompressible flow of electrically conducting fluid is of importance in many applications such as extrusion of plastics in the manufacture of Rayon and Nylon, purification of crude oil, magnetic materials processing, glass manufacturing control processes and the paper industry in different geophysical cases etc., In many process industries, the cooling of threads or sheets of some polymer materials is of importance in the production line
They observed that the free convection heat transfer to liquid metals may be significantly affected by the presence of a magnetic field.The interaction of thermal radiation with free convection heat transfer was studied by Cess [2]
The combined effects of thermal radiation flux, thermal conductivity, Reynolds number and non-Darcian (Forcheimmer drag and Brinkman boundary resistance) body forces on a steady laminar boundary layer flow along a vertical surface in an idealized geological porous medium were investigated by Takhar et al [13].The effects of thermal radiation and porous drag forces on the natural convection heat and mass transfer of a viscous, incompressible, gray, absorbing emitting fluid flowing past an impulsively started moving vertical plate adjacent to a non-Darcian porous regime was studied by Anwar et al [14]
Summary
The experimental and theoretical studies of magnetohydrodynamics flows are important from a technological point of view, because they have many applications, as for examples in magnetohydrodynamics electrical power generation, geophysics etc. The combined effects of thermal radiation flux, thermal conductivity, Reynolds number and non-Darcian (Forcheimmer drag and Brinkman boundary resistance) body forces on a steady laminar boundary layer flow along a vertical surface in an idealized geological porous medium were investigated by Takhar et al [13].The effects of thermal radiation and porous drag forces on the natural convection heat and mass transfer of a viscous, incompressible, gray, absorbing emitting fluid flowing past an impulsively started moving vertical plate adjacent to a non-Darcian porous regime was studied by Anwar et al [14]. The free convection MHD flow with thermal radiation from an impulsively started semi-infinite isothermal vertical plate has not received the attention of any researcher.The object of the present investigation is to study the combined effects of MHD and Radiation on the free convection flow past a semi-infinite vertical plate,when the fluid is compressible, viscous and electrically conducting.The fluid considered is a gray,radiation, absorbing, emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat transfer in the energy equation. The set of non-dimensional governing equations are solved by the finite element method
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