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 withvariable temperature and mass diffusion in the presence of the thermal radiation hasbeen presented. The governing dimensionless coupled linear partial differentialequations on the flow are solved by using the Laplace transform technique. TheExact solutions have been obtained for the fluid velocity, temperature and the massconcentration. The Representative numerical results for the fluid velocity,temperature, mass concentration and the shear stresses at the plate are presentedgraphically for the various pertinent flow parameters such as the radiationparameter, buoyancy forces, Schmidt number and time and studied in detail. Thestudy shows that these parameters have significant impact on the velocity,temperature, mass concentration and the shear stresses at the plates.