Effects of variable viscosity and variable thermal conductivity on unsteady mhd dusty fluid flow past an exponentially accelerated plate

A numerical model is presented to study the effects of temperature dependent viscosity and thermal conductivity on unsteady flow of a viscous incompressible dusty fluid past an exponentially accelerated vertical plate with viscous dissipation. A uniform magnetic field is applied in the transverse direction of the flow. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. Saffman model of dusty fluid is considered for the investigation. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized using Crank-Nicolson formula and the resulting finite difference equations are solved by developing programming codes for MATLAB software. Numerical computations are carried out for various values of the physical parameters and the effects over the velocity, temperature and species concentration are analyzed with the help of graphs. Numerical values of skin friction coefficient, rate of heat and mass transfer are also obtained and presented in tabulated form.