Author(s): G. Li & M. F. Modest
Traditional modeling of radiative transfer in reacting flows has ignored the interactions
between turbulence and radiation (TRI).
Evaluation of radiative fluxes, divergences
of flux and radiative properties have been based on mean temperature and
However, both experimental and theoretical work have suggested
that mean radiative quantities may differ significantly from those predictions
based on the mean parameters because of their strongly nonlinear dependence
on the temperature and concentration fields.
Probability density function (PDF)
methods have been found to be effective tools for the study of TRI.
are able to treat turbulence˝radiation interactions in a rigorous way: many unclosed
terms due to turbulence˝radiation interactions in the traditional Reynolds or Favre
averaging process can be calculated exactly and all others can be accurately modeled
by using the so-called optically thin-eddy approximation.
This chapter shows
the application of such methods in the study of TRI.
On employing such methods
many basic questions on TRI can be answered: (1) whether turbulence˝radiation
interactions are important in turbulent flames or not; (2) if they are important, then
what correlations need to be considered in a simulation to capture them.
focuses on the introduction of such methods and their applications to diffusion
Most fires and commercial combustion processes, such as internal combustion
engines and gas-turbine combustors, involve high temperatures and, therefore,
radiation tends to make up an important fraction of heat transfer rates and, in some
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Paper DOI: 10.2495/978-1-85312-956-8/03
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