Radiation Configuration Factors Between Disks and a Class of Axisymmetric Bodies

Abstract

A general formulation is developed for the radiation shape factors between a disk and a class of coaxial axisymmetric bodies such as cylinder, cone, ellipsoid, and paraboloid. In certain cases, the view factors can be derived analytically directly from the present technique, while in others, they can be generated from a single numerical integration. The analytical solutions for view factors from a disk to a coaxial cylinder based on the present approach are found to agree with those published earlier. The analytical formulae of view factors from disks or annular rings to circular cones, truncated cones, ellipsoid, paraboloids, and truncated praboloid are herein presented.