Comparison of databases for radiative heat transfer calculations in combustion applications with the NBKMcK model

Abstract

The NBKMcK (Narrow Band k-moment, i.e. NBKM, with the correlated-k assumption) model is used to solve the radiative transfer equation (RTE) with a Finite Volume Method along with the Discrete Ordinate Method (DOM) for the angular discretization. The parameters of the NBKMcK model can be derived from high resolution spectra and under several approaches to estimate them. The influence of the NBKM parameters has been investigated using three different approaches: (A1) numerically optimized, (A2) optically thin limit, (A3) optically thick limit. The influence of Line-by-Line (LBL) input data is also studied by comparing models based on CDSD-1000/HITEMP95 and HITEMP 2010 for each approach. Six sets of band parameters were tested for several test cases representative of combustion applications in one, two and three dimensional geometries. Results indicate that the impact of the different narrow band parameters is very limited. Spectroscopic data used to build LBL parameters have a more important impact than the technique used to build approximate parameters. Results were also compared to the Statistical Narrow Band (SNB) database from Soufiani and Taine and were found to be in satisfactory agreement.