This work develops analytical solutions that converge rapidly for all optical thicknesses. For the case of an optically thick medium, such as the gaseous-fuel in a cavity reactor, solutions are found in a closed form. Consideration is given to the problem of an absorbing, emitting and heat generating gray gas contained inside a black wall spherical cavity of given radius. A solution to the problem is obtained through the use of singular integral equation theory based on methods just developed for use in neutron transport theory and Couette flow. 5 pp. Refs. (KB)
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