Abstract
A modified discrete ordinates solution is developed for radiative transfer in a two-dimensional rectangular enclosure which contains an absorbing, emitting and isotropically scattering medium. Uniform and non-uniform diffuse loadings on the top boundary are considered. The intensity is broken into direct and diffuse components. The direct component is determined analytically, and the diffuse transport equation is solved numerically by conventional discrete ordinates procedure. Results are presented for various aspect ratios, media extinction properties, and loading parameters. The standard discrete ordinates solution exhibits anomalies in the flux leaving the bottom which are attributed to ‘ray-effects’. Large errors are observed when the aspect ratio is small. Numerical results obtained using the modified discrete ordinates scheme compare well with benchmark solutions and show no anomalies in the bottom flux.
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