Differential approximation to radiative transfer in semitransparent media
Abstract
A formulation for the standard differential approximation boundary condition at a semitransparent interface is presented, and an exact integral equation for radiative transfer in a semitransparent medium is solved numerically. In addition, a modified exact formulation of the integrated intensity at the interface is presented which improves significantly the accuracy of the differential approximation in optically thin regimes. The formulation is applicable to planar and high-aspect-ratio geometries and yields good results in optically thick conditions as well.
- Publication:
-
ASME Journal of Heat Transfer
- Pub Date:
- May 1985
- Bibcode:
- 1985ATJHT.107..479A
- Keywords:
-
- Radiative Transfer;
- Solid-Solid Interfaces;
- Transparence;
- Dielectrics;
- Integral Equations;
- Optical Thickness;
- Radiative Heat Transfer;
- Refractivity;
- Fluid Mechanics and Heat Transfer