Heat Source and Chemical Reaction Effects on the Unsteady Radiative Free Convection Flow of Conducting Fluid from an Impulsively Started Infinite Vertical Plate in the Presence of Magnetic Field

An investigation is made on the unsteady electrically conducting Newtonian fluid flow past a suddenly started vertical infinite flat plate under the influence of heat and mass transfer in the presence of magnetic field. The radiation and heat absorption effects are studied in this investigation. Mass diffusion are taken in to account the homogeneous chemical reaction of first order. By systematically transforming the governing set of partial differential equations into non dimensional form using selected similarity variables. An exact analytical solution is obtained from the dimensionless governing equations by using Laplace transform technique and inverse Laplace transform technique. The velocity, temperature and concentration profiles are presented for different existing flow parameters with the help of graphical representation. The velocity of the conducting fluid decreases with increasing magnetic parameter, heat absorption parameter, chemical reaction parameter and the velocity increases with increasing buoyancy parameter and time. The temperature of the fluid decreases with increasing the Prandtl number, heat absorption parameter and increases with increasing time. Similarly, the concentration of the fluid decreases with increasing the Schmidt number, chemical reaction parameter and increases with increasing time. The velocity, temperature and concentration profiles are studied for different existing parameters have been compared with earlier published works and the present results are found good agreement with the published results. The skin friction co-efficient, Nussult number and Sherwood number have also been calculated for all the existing parameters in this paper. Skin-friction decreases with increasing the magnetic parameter but skin friction increases with the increasing chemical reaction parameter, Prandtl number, Schmidt number, heat absorption parameter and time. No magnetic effect is observed on Nusselt and Sherwood number but with the increase of Prandtl number and Schmidt number, Nusselt number and Sherwood number are seen to increase respectively but both decrease with increasing time.