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ISSN Print: 1940-2503
Volumes:
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Computational Thermal Sciences: An International Journal
DOI: 10.1615/ComputThermalScien.2012005050
pages 297-315 THE USE OF TRANSPORT APPROXIMATION AND DIFFUSION-BASED MODELS IN RADIATIVE TRANSFER CALCULATIONS
Leonid A. Dombrovsky
Joint Institute for High Temperatures 17 A, Krasnokazarmennaya Street, Moscow, 111116, Russian Federation National Committee of Heat and Mass Transfer (NCHMT) ABSTRACTThe paper presents a discussion of the use of both transport approximation for scattering phase function and diffusion-based models for radiative transfer in absorbing and anisotropically scattering media like many disperse systems in nature and engineering. The main attention is paid to heat transfer problems and traditional methods of identification of spectral radiative properties of dispersed materials when the details of angular distribution of the radiation intensity are not so important. The latter makes reasonable use of the above-mentioned approximations. In more complex applied problems, the diffusion approximation appears to be a good approach as the first step of a combined two-step solution. Some example problems solved recently by the author and his colleagues are used to illustrate the approach considered in the paper. KEY WORDS: radiative transfer, disperse media, transport approximation, differential approximation, diffusion-based models
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