Abstract
This investigation presents an analytical study on magnetohydrodynamic (MHD), convective flow of a viscoelastic, incompressible, radiative, chemically reactive, electrically conducting and rotating fluid through a porous medium filled in a vertical channel in the presence of thermal diffusion. A magnetic field of uniform strength is applied along the axis of rotation. The fluid is assumed to act on with a periodic time variation of the pressure gradient in upward direction vertically. One of the plates is maintained at non-uniform temperature and the temperature difference of the walls of the channel is assumed high enough that induces heat transfer due to thermal radiation. The analytical solutions are obtained for velocity, temperature and concentration, by solving the dimensionless governing equations using regular perturbation technique. To assess the effects of various parameters involved in the model, two cases of small and large rotations have been considered. Effects of various parameters involved in velocity, temperature, species concentration distributions and the corresponding amplitude and the phase angle of the skin friction, Nusselt number and Sherwood number are shown graphically and discussed in detail.
Highlights
Great attention has drawn on magneto hydrodynamic (MHD) rotating flow of electrically conducting viscoelastic incompressible fluids because of to their significant applications in various branches of fluid dynamics
As there is an increasing interest to study environment, geophysical dynamics that is a branch of fluid dynamics has become an important subject a day
The aim of the present analysis is to investigate thermal diffusion and rotational effects on magnetohydrodynamic mixed convection flow of heat absorbing/generating visco- elastic fluid through a porous channel
Summary
Great attention has drawn on magneto hydrodynamic (MHD) rotating flow of electrically conducting viscoelastic incompressible fluids because of to their significant applications in various branches of fluid dynamics. Choudhury et al (2012) discussed MHD mixed convective heat and mass transfer in a viscoelastic flow past a vertical permeable porous plate with thermal radiation and chemical reaction. Hayat et al (2011) employed thermal diffusion and chemical reaction influence on oscillatory three-dimensional flow past an infinite vertical porous plate. Dash et al (2009) considered rotational effects on MHD flow of a visco elastic fluid past an infinite vertical porous plate with heat and mass transfer in the presence of a chemical reaction. Prakash et al (2014) studied that radiation and Dufour effects on unsteady MHD mixed convective flow in an accelerated vertical wavy plate with varying temperature and mass diffusion. The aim of the present analysis is to investigate thermal diffusion and rotational effects on magnetohydrodynamic mixed convection flow of heat absorbing/generating visco- elastic fluid through a porous channel. As far as author’s knowledge is concern this phenomenon was not studied earlier, we showed interest and attempted to study this work
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