Conjugate mixed convection with surface radiation from a vertical plate with a discrete heat source

The results of a numerical study of the problem of two-dimensional, steady, incompressible, conjugate, laminar, mixed convection with surface radiatio n from a vertical plate with a flush-mounted discrete heat source are repor ted. The governing equations, written in vorticity-stream function form, ar e solved using a finite-volume based finite difference method. A hybrid gri d system has been employed for discretization of the computational domain. The effects of (i) the magnitude and location of the heat source, (ii) the material and surface properties of the plate, and (iii) the free-stream vel ocity on both heat transfer and fluid flow have been studied. Based on a la rge set of (more than 550) numerical data, correlations have been developed for maximum and average non-dimensional plate temperatures and mean fricti on coefficient. A method,for evaluating the forced convection mean friction coefficient component, which may be used in estimating the power input req uired for maintaining the flow, has been proposed.