Application of the spatial averaging theorem to radiative heat transfer in two-phase media |
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Authors: | W. Lipi ski, J. Petrasch,S. Haussener |
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Affiliation: | aDepartment of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455, USA;bDepartment of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32601, USA;cDepartment of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland |
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Abstract: | The spatial averaging theorem is applied to rigorously derive continuum-scale equations of radiative transfer in two-phase media consisting of arbitrary-type phases in the limit of geometrical optics. The derivations are based on the equations of radiative transfer and the corresponding boundary conditions applied at the discrete-scale to each phase, and on the discrete-scale radiative properties of each phase and the interface between the phases. The derivations confirm that radiative transfer in two-phase media consisting of arbitrary-type phases in the range of geometrical optics can be modeled by a set of two continuum-scale equations of radiative transfer describing the variation of the average intensities associated with each phase. Finally, a Monte Carlo based methodology for the determination of average radiative properties is discussed in the light of previous pertinent studies. |
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Keywords: | Radiative transfer Porous media Radiative properties Monte Carlo |
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