Unsteady free convection flow between two vertical plates with variable temperature and mass diffusion

The unsteady free convection flow between two long vertical parallel plates with variable temperature and mass diffusion in the presence of the thermal radiation has been presented. The governing dimensionless coupled linear partial differential equations on the flow are solved by using the Laplace transform technique. The Exact solutions have been obtained for the fluid velocity, temperature and the mass concentration. The Representative numerical results for the fluid velocity, temperature, mass concentration and the shear stresses at the plate are presented graphically for the various pertinent flow parameters such as the radiation parameter, buoyancy forces, Schmidt number and time and studied in detail. The study shows that these parameters have significant impact on the velocity, temperature, mass concentration and the shear stresses at the plates.