The effect of variable viscosity and thermal conductivity on liquid film on an unsteady stretching surface

The effects of variable viscosity and thermal conductivity on a three-dimensional free convection flow past a uniformly moving porous vertical plate with viscous dissipation and Joule heating in presence of a uniform transverse magnetic field have been studied numerically. The governing boundary layer equations with associated boundary conditions are converted to non-dimensional form. The Magnetic Reynolds number is considered small enough to neglect the induced hydro magnetic effect. The resulting non-linear partial differential equations are then solved using an iterative method for an implicit finite difference scheme. Effects of various flow governing parameters on the fluid velocity, temperature, concentration fields are presented graphically. Further, the coefficient of skin-friction, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form. Keywords Variable viscosity and thermal conductivity, Joule heating, viscous dissipation, MHD, free convection, mass and heat transfer. 1