Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair Ian A. Frigaard Herb Kunze Roman Makarov Roderick Melnik & Raymond J. Spiteri

Author:Jacques Bélair, Ian A. Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik & Raymond J. Spiteri
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

2.3 Radiation Model

Radiation effects are taken into account in the CFD simulation of combustion processes via addition of radiation source term in the right hand side of energy transport equation, i.e., Eq. (3). In the SLW model, this source term is given by

(4)

The calculation of above source term requires the solution of j RTE s as follows:

(5)

in which, I is the radiation intensity, κ j is the absorption coefficient, and a j is the emissivity weighting factor. κ j is related to the absorption cross section as described by κ j  = NC j . To achieve C j , the entire range of absorption cross section between C max and C min is divided into J logarithmically spaced intervals. The interval borders named as supplemental absorption cross section are obtained using , where C j is defined as . The emissivity weighting factor a j is also calculated by employing the ALBDF definition as follows:

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