Abstract

Radiative heat transfer in one dimension is studied in a plane - parallel geometry for an absorbing and isotropically scattering medium subjected to azimuthally symmetric incident radiation at boundaries. The integral form of the transport equation, which is weakly singular Fredholm integral equation of the second kind, is used .The unknown function in the integral form is expanded in terms of truncated Chebyshev polynomials in the optical variable. The collocation method is applied to obtain a system of linear algebraic equations for the expansion coefficients. Numerical calculations are done for the transmissivctivity, and exit angular distributions of slabs with various values of single scattering albedo. Comparisons between the present and available results in references indicate that our results are accurate, as shown in the tables.

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