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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.