RADIATIVE TRANSPORT IN AN OPTICALLY THICK PLANAR MEDIUM,
Abstract
The problem of radiative transport of thermal energy between parallel, black, diffusely-emitting walls is solved by the method of matched asymptotic expansions when the intervening grey gas is optically thick. There is a thin thermal layer adjacent to each wall in which the Rosseland diffusion approximation is invalid. It is shown that this layer is closely connected to the restricted Milne problem of astrophysics, and that the layer disappears if the Milne-Eddington (or any equivalent) approximation is made. A simple, uniformly valid solution for temperature, temperature slip at the walls, and heat flux is given for the optically thick limit. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1967
- Accession Number
- AD0664556
Entities
People
- George Emanuel
Organizations
- The Aerospace Corporation