EXACT SOLUTION TO THE RADIATIVE TRANSPORT EQUATION FOR THE GASEOUS-CORE REACTOR,
Abstract
The subject of radiation heat transfer in a gaseous medium has received attention recently due to the increased interest in gaseous-fueled cavity reactors. Initial studies utilized a diffusion theory approximation to the radiative transport equation. To ascertain the accuracy of these approximations, comparisons have been made with various numerical solutions of the exact radiative transport equation. However as the optical thickness of the gaseous media increases, the iterative solutions of the transport equation converge slowly. In this paper, we develop analytical solutions to the radiative transport equation which converge rapidly for all optical thicknesses. In particular, for the case of an optically thick medium, such as the gaseous-fuel in a cavity reactor, solutions are found in a closed form. The problem we consider is that of an absorbing, emitting and heat generating gray gas contained inside a black wall spherical cavity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1969
- Accession Number
- AD0691635
Entities
People
- A. Léonard
- Eugene C. Gritton
Organizations
- RAND Corporation