For this model, the spectrum is sub-divided into spectral
bands of finite width where radiative quantities are nearly uniform
or can be averaged without losing accuracy. These bands should span
the thermal radiation section of the spectrum. It is assumed that
the value at a given spectral band is represented by the spectral
band midpoint value in frequency domain.
CFX assumes that the main spectral variable is frequency because it is independent of the material refractive index and it will facilitate the setup of multidomain problems. Other spectral variables, such wavelength and wavenumber would be available for vacuum only.
Then, the radiative transfer equation is integrated within is spectral band and a modified RTE is obtained:
(8–37) |
for , where the emission within the spectral band is
weighted by:
(8–38) |
After solving one RTE per spectral band, total radiation intensity can be computed as:
(8–39) |
This immediately suggests that for an -band model,
times as
much work is required as for a gray,
-band model. In the
case of the Discrete Transfer model, for small
this turns out not
to be true because the tracking of the rays through the geometry is
a major one-off overhead.
This model can be used in conjunction with all available radiation models.