| This study is on the development of accurate models for predicting radiation heat transfer through an emitting, absorbing, and scattering medium for fire suppression applications using water sprays. The medium is assumed to be composed of water vapor (H2O), carbon dioxide (CO2), soot particles and water droplets. The problem is divided in two parts consisting of: (i) calculation of the radiative properties and (ii) solution of the radiative transfer equation along the medium. For the first part of the study, Mie scattering theory and the HITEMP database are used to construct the exact spectrally dependent radiative properties. A correlated-k method is then devised to compactly represent the absorption coefficients in terms of a frequency distribution for later coupling with scattering properties. The correlated-k approach is applied to the problem of radiation heat transfer in homogeneous 1D media in the second part of this study. Discrete ordinates method (DOM) and PN-spherical harmonics approaches are used to solve the radiative transfer equation (RTE). A sensitivity analysis is performed to determine the error levels from the application of the correlated-k reordering and from the numerical solution of the RTE. |
