Statistical approach to radiative transfer in the heterogeneous media of thin-wall morphology

[+] Author and Article Information
Andrey Gusarov

Moscow State University of Technology "STANKIN", Vadkovsky per. 3a, 127055 Moscow, Russia

1Corresponding author.

ASME doi:10.1115/1.4040482 History: Received November 03, 2017; Revised May 25, 2018


Additively-manufactured cellular and honeycomb structures, foams, and very oblate particles dispersed in matrix are the examples of heterogeneous media with thin-wall morphology. Phase boundaries can also be considered by this approach. Statistical description is proposed to estimate the effective radiative properties of such media. Three orientation models are studied: (i) isotropic, (ii) surface elements parallel to a plane, (iii) surface elements parallel to an axis. Radiative transfer equations are obtained for the three models in the framework of the homogeneous phase approach and the multiphase approach. The radiative thermal conductivity is calculated for a bundle of circular rods, a packed pebble bed, and an open-cell metal foam. The results generally agree with the reference calculations by other methods. Small difference can be explained by different approaches to scattering and assumptions about the temperature distribution. Attenuation of light in a skin tissue is calculated by the diffusion approximation. The attenuation coefficient generally agrees with the reference Monte Carlo simulation. The difference observed at certain combination of parameters can be due to the assumption of regular arrangement of vessels at the Monte Carlo simulation.

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