NATURAL CONVECTION BOUNDARY LAYER FLOW ON AN ISOTHERMAL SPHERE IN PRESENCE OF HEAT GENERATION (original) (raw)

A steady two-dimensional natural convection boundary layer flow on a sphere with heat generation in a viscous incompressible fluid is investigated in the present paper. Using the appropriate transformation, the basic equations for mass continuity, momentum and energy are transformed into nondimensional boundary layer equations. These non-dimensional equations are solved numerically by using a very efficient finite difference method known as the Keller box scheme. Numerical results presented include velocity and temperature profiles as well as heat transfer characteristics, namely the local skin friction and local rate of heat transfer for a wide range of non-dimensional heat generation parameter Q and the Prandtl number Pr