Effect of Radiation–Conduction Interaction on Mixed Convection from a Slender Cylinder

Abstract

The problem of steady laminar mixed convection heat transfer about a slender cylinder is studied numerically, taking into account the radiation–conduction effect. The resulting governing equations are transformed into the non-similar boundary layer equations and solved using the Keller box method. The velocity and temperature profiles as well as the local skin friction and the local heat transfer parameters are determined for different values of the governing parameters, mainly the Richardson number, the Planck number (i.e., radiation–conduction parameter), and the surface temperature ratio. For some specific values of the governing parameters, the results agree very well with those available in the literature. Generally, it is determined that the local heat transfer coefficient increase, increasing the Richardson number Ri (i.e., the mixed convection parameter) and Planck number (i.e., radiation–conduction parameter) Rd or decreasing the surface temperature ratio θw.