A nonuniform narrow band correlated-k approximation using the k-moment method

Narrow band k-moment (NBKM) formulations of the transmission function for nonuniform gaseous paths are developed. One of them, called the scaled variance (SV) approximation, is based on the assumption of correlated absorption coefficients. Theoretical derivations are properly detailed and several test cases taken from the literature are provided to assess the approximate modeling results against LBL reference calculations. In most cases representative of combustion configurations, it is shown that the scaled variance approximation is more accurate than the Curtis–Godson one for CO₂ but not for H₂O.