This work presents a new formulation for analyzing radiative transfer in irregularly-shaped axisymmetric enclosures containing nonhomogeneous media. This formulation is based on the discrete exchange factor method. The nonhomogeneous source function equations for anisotropic scattering are also presented. A procedure is outlined for numerically evaluating the transmittance term within each exchange factor expression for cases where the extinction coefficient is spatially variant. Several benchmark cylindrical media problems with variable extinction coefficient and scattering albedo are solved in an effort to validate the model. The results obtained using the proposed model are in excellent agreement with other generated using the product integration, discrete ordinates, and S-type quadrature methods. New results are presented for nozzle-shaped configurations with radially varying extinction coefficient.
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