A Numerical Study of Natural Convection and Radiation Interaction in Vertical Circular Pin

A numerical finite difference study has been earned out for two dimensional radiation-natural convection interaction phenomena in a vertical circular pin located at a non-participating (i.e. transparent) fluid. The coupled conservation equations in boundary layer (continuity, momentum, and energy equations) and pin energy equation are solved simultaneously using modified box method and fully implicit finite difference scheme. The effect of three major parameters on pin temperature distribution, velocity and temperature profile at boundary layer, local heat transfer coefficient, and local heat flux are examined in detail. These parameters are radiation-conduction parameter. Also the surface heat transfer coefficient increases with increasing radiative interaction.