ABSTRACT
This chapter focuses on how to derive volumetric absorption, geometric mean beam length, radiation transfer between gray gases at a uniform temperature, and an N-surface furnace with each surface at different gray diffuse uniform temperature conditions. The process to analytically solve gas radiation problems using a matrix of linear equations for an N-surfaces furnace with various surface thermal boundary conditions is presented. By using the electric network analogy, this chapter also provides several relevant engineering applications such as (1) radiation transfer between a gas at a high uniform temperature and a one-surface furnace assuming the gray diffuse surface at a low uniform temperature or (2) between a gas at a high uniform temperature and a furnace with two, gray, diffuse surfaces (with each surface at different low uniform temperatures). Radiation transfer through gases with a nonuniform temperature is also presented. General radiation transport equations in the participating medium are derived. Radiation transfer through gray gases between two gray-diffuse parallel plates, such as for cryogenic thermal insulation, is discussed. The special cases of optically thin or optically thick media are also addressed.
