Combined effects of variable viscosity and thermophoretic transportation on mixed convection flow around the surface of a sphere

The physical behavior of the combined effect of temperature dependent viscosity and thermophoretic motion on mixed convection flow around the surface of a sphere is investigated. The set of nonlinear coupled partial differential equations is formulated andthen nondimenisonalized by using an appropriate set of dimensionless variables. The dimensionless model is then transformed to convenient form for integration by employing a suitable set of primitive variables formulation and then discretized by using an efficient implicite finite difference scheme for numerical simulation. The effect of controlling parameters on velocity profile, temperature profile, and mass concentration as well as skin friction, rate of heat transfer, mass transfer rate are analyzed. The obtained numerical results for different values of controlling parameters indicate that, velocity profile gains its largest magnitude at position x=1.5 radian and slows down at postion x=π radian. It is also predicted that the temperature distribution and mass concentarion are diluted at position x=1.5 radian due to rapid motion of fluid. The numerical results are highlighted in graphical as well as in tabular form.