Unsteady Magnetohydrodynamic Free Convection Flow of Nanofluid Through an Exponentially Accelerated Inclined Plate Embedded in a Porous Medium with Variable Thermal Conductivity in the Presence of Radiation

MHD (Magnetohydrodynamic) unsteady free convection flow of viscous nanofluid through an exponentially accelerated inclined porous plate with variable viscosity and thermal conductivity in the presence of radiation have been reported in this paper. The model equations are governed by a coupled nonlinear system of partial differential equations and these equations are transformed of the form of dimensionless by the as usual mathematical technique of transformation. Then the obtained coupled non-dimensional nonlinear partial differential equations are solved by using explicit finite difference method and the numerical results have been calculated by the computer programming language Compaq Visual Fortran 6.6a. The obtained numerical results indicate the fluid flow, temperature and concentration distributions and which are significantly affected by the various dimensionless parameters such as magnetic parameter, Schmidt number, Grashof number, viscosity variation parameter, Lewis number, thermal conductivity variation parameter, Prandtl number, modified Grashof number, Dufour number, thermophoresis parameter, Brownian motion parameter, chemical reaction and radiation parameter. Finally, the results are discussed after stability test by using graphics software tecplot-9 with the help of graphs.