Effects of Correlated Scattering on Coupled Heat Transfers by Conduction and Radiation through a Packed Layer of Glass Beads

Abstract

The effects of correlated scattering on the combined conductive and radiative heat transfer through a packed layer of glass beads are theoretically examined. The energy equation and the spherical harmonic equations of the first order for radiative transfer are numerically solved utilizing the correlated or uncorrelated radiative properties for packed glass spheres. The correlated scattering calculations for temperature profiles and mean total effective thermal conductivities are compared with the uncorrelated scattering calculations and our previous experimental results. The results show that the correlated scattering estimations agree well with the experimental results within the accuracy of experimental uncertainity. Moreover, it was found that the correlated scattering estimations for the mean total effective thermal conductivities are smaller than the uncorrelated Scattering ones, but the relative difference observed between them is always less than 2% for the examined system parameters.