Research Papers: Radiative Heat Transfer

Statistical Approach to Radiative Transfer in the Heterogeneous Media of Thin-Wall Morphology—II: Applications

[+] Author and Article Information
A. V. Gusarov

Moscow State University of Technology
Vadkovsky per. 3a,
Moscow 127055, Russia
e-mail: av.goussarov@gmail.com

Part 1 of this paper was published in the November issue of Heat Transfer, 140(11) [1].Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 25, 2018; final manuscript received July 11, 2018; published online October 8, 2018. Assoc. Editor: Xiulin Ruan.

J. Heat Transfer 141(1), 012701 (Oct 08, 2018) (7 pages) Paper No: HT-18-1340; doi: 10.1115/1.4040958 History: Received May 25, 2018; Revised July 11, 2018

The statistical multiphase approach (MPA) proposed in the first part of this work to evaluate radiative properties of composite materials is applied to porous structures of opaque material and biological tissues. Radiative thermal conductivity is calculated for the bundle of circular rods, packed pebble beds, and metal foams. The results generally agree with the reference calculations by other methods. The small difference can be explained by different approaches to scattering and assumptions about the temperature distribution. Attenuation of light in skin tissues is calculated by the diffusion approximation. The attenuation coefficient generally agrees with the reference Monte Carlo simulation (MC). The difference observed at certain combination of parameters can be due to the assumption of regular arrangement of vessels at the MC simulation.

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Fig. 1

Square-lattice bundle of circular rods: (a) cross section of the bundle with arrows pointing the cylinders visible from the central cylinder and (b) normalized transversal radiative thermal conductivity versus reflectivity calculated by the net radiation method and by the MPA approach

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Fig. 2

Open-cell metal foam: (a) cubic lattice model and (b) radiative thermal conductivity λ versus temperature T calculated by the MPA approach in this work (line) compared to the calculation by Contento et al. [14] (line) and measurement by Zhao et al. [15] (circles) for FeCrAlY 30 ppi 95% porosity foam

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Fig. 3

Effective thermal conductivity λ of the packed pebble bed versus temperature T: measured by Russeau et al. [16] (circles) and calculated by the MPA approach in this work and by the subcell radiation model by Wu et al. [17] (lines)

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Fig. 4

Texture of the modeled biological tissue and the coordinate system

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Fig. 5

Attenuation coefficient of light diffusion μ in the direction perpendicular to the vessels calculated by MPA (solid lines) compared to the reference results obtained in Ref. [22] by MC, HPA, and CHPA. The values of σ0 are shown in the legend and near the curves.



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