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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.

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