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 radiant-energy 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 closed-form 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 finite-sized 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