Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
A proposed correction of the cumulative wavenumber method in the determination of the radiative heat flux
Submission Author:
Roberta Juliana Collet da Fonseca , RS
Co-Authors:
Roberta Juliana Collet da Fonseca, Francis França
Presenter: Roberta Juliana Collet da Fonseca
doi://10.26678/ABCM.ENCIT2018.CIT18-0036
Abstract
Spectral modeling of participating gases is a very important field of the thermal radiation in due to the relevance of accurately describing phenomena involving combustion processes. Previous works show that the cumulative wavenumber (CW) model yields accurate estimates of the radiative heat source, but presents considerable deviations in the radiative heat flux when compared with the line-by-line (LBL) benchmark solution. So, this paper proposes a modification of the original CW method in the radiative transfer equation (RTE). The modified method consists of including a term in the calculation of the RTE, which was incorrectly neglected in the original formulation, ensuring that the energy balance is satisfied. The proposed method is applied to a one-dimensional medium slab filled by a homogeneous concentration of carbon dioxide between the plates that delimit the domain, in which the spectral modeling is solved with the corrected CW model and the spatial integration is performed with the discrete ordinates method. Results obtained with the modified method are compared against those found by standard CW method and the LBL integration.
Keywords
thermal radiation, cumulative wavenumber model, line-by-line integration, radiative heat flux, Energy balance
