  In the present work, the full spectrum $k$-distribution method (FSK) has been
adopted to calculate the radiative heat transfer in the presence of
participating gaseous medium within an enclosure. The spectral radiative
properties of the gaseous medium is obtained from the HITEMP-2010 database.
Further, radiative properties have been assembled into a monotonically
increasing function using the full spectrum $k$-distribution method. Moreover,
a look-up table has been developed for these properties for different
thermodynamic states of gases and a multi-dimensional linear interpolation
technique for unavailable thermodynamic states of gases. Furthermore, the FSK
method is extended for mixture of gases using different mixing models such as
superposition, multiplication and hybrid mixing model. The multiplication
mixing model produces most accurate results among the mixture models used here.
The results obtained from FSK has been validated against line by line method
(LBL). The radiation transfer equation (RTE) is solved by finite volume method
to calculate the wall heat fluxes and the divergence of radiative heat flux for
various test cases in different category of homogeneous isothermal and isobaric
and non-homogeneous non-isothermal non-isobaric media having different
conditions of temperature pressure and mole-fraction. The FSK method has been
successfully applied to non-homogeneous non-isothermal non-isobaric gaseous
media for single gas or mixture of gases with almost LBL accuracy at extremely
less computational cost and resource.
