Free Convection Flow Past an Impulsively Started Infinite Vertical Plate with Newtonian Heating in the Presence of thermal Radiation and Mass diffusion

An analytical study of free convection flow near an impulsively started infinite vertical plate with
Newtonian heating in the presence of thermal radiation and constant mass diffusion was performed. The
mathematical model reduced to a system of coupled linear partial differential equations for the velocity, the
temperature, and the concentration; the closed-form exact solutions were obtained by the Laplace transform
method. Representative velocity and temperature profiles were graphed and the numerical values of the
skin friction and the Nusselt number were calculated. The effects of different system parameters, such as
the radiation parameter, buoyancy ratio, Grashof number, Prandtl number, Schmidt number and time on
the velocity, temperature, skin friction, and Nusselt number, were examined in detail. It was observed that
the velocity increased for aiding flows, whereas it decreased for opposing flows. The velocity decreased with
increasing Schmidt number and radiation parameter. The skin friction decreased in the presence of aiding
flows whereas it increased in the presence of opposing flows. Furthermore, the skin friction increased with
increasing Schmidt number and radiation parameter.