Roughness effects on radiant heat transfer between interacting surfaces.
The radiative transfer between interacting plates with rough surfaces is analyzed on the basis of Beckman's (1963) rough-surface bidirectional reflectance model and, for comparison, on the basis of a direction-dependent specular reflection property model and an approximate rough surface model which assumes a diffuse distribution of the scattered energy. It is found that the overall heat transfer obtained with the Beckman model is only slightly (1.5%) less than that obtained with the direction-dependent specular reflection model. Furthermore, constant property specular reflection analysis gave results within 3% of the rough surface values. The region of uncertainty for the rough surface flux increases, however, as optical roughness increases.