A Numerical Study of the Influence of Temperature Dependent Viscosity and Prandtl Number on Unsteady Natural Convection Flow of Methanol Over a Sphere with Magnetic Field

In this study we have numerically analysed influence of variable viscosity and Prandtl number with magnetic field on natural convection flow of methanol over sphere. Here, Prandtl number and viscosity are inverse linear functions of temperature. The governing non-linear coupled partial differential equations of the flow with the boundary conditions are converted into non-dimensional, partial differential equations which are non- linear and solved using implicit finite difference and quasilinearization methods. From these computed results, it is analysed that, skin friction and heat transfer are powerfully respond to the accelerating unsteady free stream velocity, variable viscosity and Prandtl number. The effects of temperature dependent viscosity and Prandtl number is to move the point of zero skin friction downstream delaying boundary layer separation. The profiles of velocity and temperature are remarkably affected by relevant physical parameters.