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DOI: 10.1615/ICHMT.2010.RAD-6.170
10 pages

Jorg Petrasch
Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611, USA; Fachhochschule Vorarlberg · Energy Reserach Center Austria · Dornbirn

Sophia Haussener
Laboratory of Renewable Energy Science and Engineering, EPFL, Station 9, 1015 Lausanne, Switzerland

Wojciech Lipinski
Research School of Engineering, The Australian National University, Canberra ACT 2601, Australia


The rigorous mathematical formulation of the continuum approach to radiative transfer modeling in two-phase semi-transparent media is numerically validated by comparing radiative fluxes computed for selected types of media using (i) direct, discrete-scale and (ii) continuum-scale approaches. The analysis is limited to media with the individual phases in the range of geometrical optics. The discrete-scale approach uses Monte Carlo ray tracing applied directly to tomography derived geometry information. The continuum-scale approach is based on rigorously derived continuum-scale radiative transfer equations, incorporating rigorously derived definitions of radiative properties, and employs Monte Carlo ray-tracing. The model media investigated are reticulate porous ceramics and packed beds of semitransparent calcium carbonate particles. Continuum-scale scattering coefficients, and scattering phase functions are presented. Discrete-scale and continuum-scale simulations agree well, within the limits imposed by finite sample size. The continuum-scale approach leads to massive savings in computational time as compared to the discrete-scale approach, and thus is suited to treat radiative transfer problems in two-phase media in a wide range of engineering applications.

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