Unsteady MHD Flow Past an Impulsively Started Inclined Plate with Variable Temperature and Mass Diffusion in the presence of Hall current

In the present paper, we study the effect of Hall current on unsteady flow of a viscous, incompressible and electrically conducting fluid past an impulsively started inclined plate with variable temperature and mass diffusion in the presence of transversely applied uniform magnetic field. The plate temperature and the concentration level near the plate increase linearly with time. The parameters considered in the model are: angle of the plate measured from the vertical, thermal Grashof number, mass Grashof Number, Prandtl number, Hall current parameter, the magnetic field parameter, Schmidt number and time. The fluid model under consideration has been solved by Laplace transform technique. The model contains equations of motion, diffusion equation and equation of energy. To analyze the solution of the model, desirable sets of the values of the parameters have been considered. The numerical data obtained is discussed with the help of graphs and table. The numerical values obtained for skin-friction have been tabulated. We found that the values obtained for velocity, concentration and temperature are in concurrence with the actual flow of the fluid. The motive of this study is to analyze the Hall effect in the model. In the study we found that the velocity in the boundary layer increases with the values of Hall current parameter. It is also observed that the Hall current increases the drag at the plate surface. The importance of the problem can be seen in cooling of electronic components of a nuclear reactor, bed thermal storage and heat sink in the turbine blades.