Abstract
ABSTRACTA simple quasi-analytical method is proposed to solve the boundary-value problem of radiative transfer through a participating planar layer with reflective/transparent boundary under diffuse/collimated incident radiation. The method couples angular discretization using quadrature sets such as in the discrete ordinates method, with the solution of the system of radiative characteristics variables of first-order differential equations that were obtained after eigenvalue decomposition of the matrix obtained from media radiative characteristics such as the extinction coefficient and the scattering phase function. Henceforth, the proposed method is designated as discrete ordinates characteristics solution, to emphasize on the two aspects. The predicted radiative fluxes, hemispherical transmittance and reflectance are shown to agree with benchmark literature results for various scattering phase functions, scattering albedo, optical thicknesses and boundary conditions.
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