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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v34.i1-2.130
10 pages

Use of the Approximation of Optically Thin Pulsations in the Problems of Radiative Heat Transfer in Turbulent Media

A. I. Bril'
B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Belarus
V. P. Kabashnikov
B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Belarus
V. M. Popov
B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Belarus

RÉSUMÉ

A method for calculating radiative transfer in turbulent media is suggested. The method is free of limitations on the absorption coefficient fluctuation amplitudes. It is based on modeling the temperature distribution in a turbulent medium by using the generalized telegraphic process approximation. The solution was obtained by two methods: 1) analytically, using the Laplace transformation and representing the original temperature-fluctuation distribution in the form of superposition of a sufficiently large number of the Dirac delta-function; and 2) on the basis of stochastic modeling. The method developed was applied to evaluate the accuracy of the optically thin fluctuation approximation, which is widely used in the radiative heat transfer in turbulent flows.