New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer

We develop new direction- and frequency-averaged approximations to the equations of radiative heat transfer in glass for optically thick, diffusive regimes. These approximations, which are based on the$SP_N$approach given in [E. Larsen, G.$Th\ddot{o}mmes$, A. Klar, M.$Sea\ddot{i}d$, and T.$G\ddot{o}...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2004, Vol.64 (2), p.565-582
Main Authors: Larsen, Edward W., Guido Thömmes, Klar, Axel
Format: Article
Language:English
Subjects:
Annealing
Approximation
Boundary conditions
Boundary layers
Cooling
Equilibrium
Error rates
Glass
Heat transfer
Radiation
Radiative transfer
Radiative transfer equation
Vibrational frequencies
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Summary:We develop new direction- and frequency-averaged approximations to the equations of radiative heat transfer in glass for optically thick, diffusive regimes. These approximations, which are based on the$SP_N$approach given in [E. Larsen, G.$Th\ddot{o}mmes$, A. Klar, M.$Sea\ddot{i}d$, and T.$G\ddot{o}tz$, J. Comput. Phys., 183 (2002), pp. 652-675], represent asymptotic corrections to the familiar Rosseland, or equilibrium diffusion, approximation. Numerical results for realistic problems in the simulation of radiative heat transfer in glass cooling confirm the accuracy and efficiency of the new approximations.
ISSN:0036-1399
1095-712X
DOI:10.1137/S0036139902413842