Multi-dimensional discrete ordinates solutions to combined mode radiation heat transfer problems and their application to a free-falling particle, direct absorption solar receiver

Mathematics

Scientific paper

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Absorptivity, Distribution Functions, Energy Conservation, Heat Flux, Mathematical Models, Radiative Heat Transfer, Thermodynamics, Adsorption, Algorithms, Particle Precipitation, Rayleigh Scattering, Solar Collectors, Solar Radiation

Scientific paper

Multi-dimensional radiative transfer in combined mode heat transfer problems was investigated with emphasis on the analysis and characterization of a free-falling particle cloud, direct absorption solar central receiver. A model was developed to calculate the relevant distributions in the curtain while a concentrated solar beam is impinging on the front face of the medium. The discrete ordinated approximation was applied to allow the spectral equation of transfer (EOT) to be modeled as a PDE. Model verification tests were conducted to determine the accuracy of the model. One- and two-dimensional results showed that the discrete ordinates model provides satisfactory estimates of the radiant intensity, the heat flux and the temperature distributions for ordinate sets above S4 (12-flux approximation) for both the black and gray cases.

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