Numerical methods in radiation heat transfer

Problems associated with numerical models of radiative heat transfer are discussed. Analytical expressions for the radiant intensity, flux and flux divergence are reviewed in conjunction with the transfer equation. A Monte Carlo formulation sets the directions of the radiant heating path with a random number generator. The type and magnitude of error normally encountered in a six-flux approximation are reviewed, together with the concepts of narrow and wideband scaling to model the spectral transmissivity. Attention is given to one-dimensional radiant flux in a slab and a cylinder. Finally, solutions obtained for duct flow are summarized. 27 references