Thermal Diffusion and Radiation Effects on Unsteady MHD Free Convection Heat and Mass Transfer Flow Past a Linearly Accelerated Vertical Porous Plate With Variable Temperature and Mass Diffusion

Abstract

The objective of the present study is to investigate thermal diffusion and radiation effects on unsteady MHD flow past a linearly accelerated vertical porous plate with variable temperature and also with variable mass diffusion in presence of heat source or sink under the influence of applied transverse magnetic field. The fluid considered here is a gray, absorbing/ emitting radiation but a non-scattering medium. At time t > 0, the plate is linearly accelerated with a velocity u = u0t in its own plane. And at the same time, plate temperature and concentration levels near the plate raised linearly with time t. The dimensionless governing equations involved in the present analysis are solved using the closed analytical method. The velocity, temperature, concentration, skin-friction, the rate or heat transfer and the rate of mass transfer are studied through graphs in terms of different physical parameters like magnetic field parameter (M), radiation parameter (R), Schmidt parameter (Sc), Soret number (So), Heat source parameter (S), Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number (Gm) and time (t).

Analytical Investigations of Diffusion Thermo Effects on Unsteady Free Convection Flow Past an Accelerated Vertical Plate

“…Mythreye et al (2015) analyzed the chemical reaction on unsteady MHD convective heat and mass transfer past a semi infinite vertical permeable moving plate with heat absorption. Venkateswarlu et al (2014) analyzed thermal diffusion and radiation effects on unsteady MHD free convection heat and mass transfer flow past a linearly accelerated vertical porous plate with variable temperature and mass diffusion. Alam et al [(2005), (2006) Toki and Tokis (2007) investigated exact solutions for the unsteady free convection flows on a porous plate with time-dependent heating.…”

Dufour and Soret Effects on Unsteady MHD Free Convective Flow of Viscous Incompressible Fluid Past an Infinite Vertical Porous Plate in the Presence of Radiation

“…The effects of thermal diffusion and viscous dissipation on unsteady MHD free convection flow past a vertical porous plate under oscillatory suction velocity was investigated by . Venkateswarlu et al (2014) analysed the thermal diffusion and radiation effects on unsteady MHD free convection heat and mass transfer flow past a linearly accelerated vertical porous plate with variable temperature and mass diffusion.…”

Slip Velocity Distribution on MHD Oscillatory Heat and Mass Transfer Flow of a Viscous Fluid in a Parallel Plate Channel

“…While Umavathi et al [24] studied the unsteady oscillatory flow and heat transfer in a horizontal composite porous medium channel. Venkateswarlu et al [27][28] presented the heat and mass transfer effects on MHD flows through porous medium over a vertical plate in presence of chemical reaction and thermal radiation.…”