Photon path length analysis of radiative transfer in planar layers with single internal sources

Statistics – Applications

Scientific paper

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Optical Paths, Particulates, Radiative Heat Transfer, Scattering, Albedo, Delta Function, Dirac Equation, Optical Thickness

Scientific paper

A solution technique is presented which successfully predicts the radiative intensity and flux path length distributions for a scattering medium with an arbitrary internal source. All scattering effects are included through the optical path length concept. The extension of the optical path length technique to incorporate internal sources permits relatively simple modeling of scattering layers with any source distribution (e.g., temperature) and any absorption feature using a data base of responses (path length distributions) to arbitrarily located internal single sources. Path length distributions are presented for a single source in the layer and exhibit trends similar to those seen in the boundary source problem. The effects of orders of scattering are demonstrated. Although the technique is directed to radiative heat transfer analyses, the source need not be a thermal source and the solutions are not restricted to thermal applications.

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