Calculation of shape factors between rings and inverted cones sharing a common axis
Abstract
In spacecraft thermal control calculations, it is often necessary to evaluate shape factors for diffuse radiantenergy exchange between a ring and an inverted cone (i.e., a cone whose vertex points toward the ring). Such a geometry is encountered, for example, in rocket plume heating analyses. This paper uses the contour integral method to derive a closedform expression for the shape factor from a differential area on a ring to an inverted cone for both the intersecting and nonintersecting cases. These expressions are integrated numerically to obtain the desired shape factors between the cone and finitesized ring.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 August 1977
 Bibcode:
 1977ATJHT..99..492M
 Keywords:

 Conical Bodies;
 Form Factors;
 Radiative Heat Transfer;
 Ring Structures;
 Spacecraft Shielding;
 Thermal Protection;
 Base Heating;
 Diffuse Radiation;
 Plumes;
 Fluid Mechanics and Heat Transfer