Radiative and Conductive Heat Exchanges in High-Temperature Glass Melt with the Finite-Volume Method Approach. Influence of Several Spatial Differencing Schemes on RTE Solution

ABSTRACT

This article is devoted to heat transfer involving radiation and conduction. Considering a nongray, purely absorbing medium, the radiative heat transfer equation (RTE) and the energy balance equation are both solved with the finite-volume method (FVM). The energy equation is coupled to the RTE through the radiative source term. Several differencing scheme efficiencies are discussed for the case of strong opacities. Validation of the model with various benchmarks simulating high-temperature glass melting, including one- and two-dimensional geometries, is achieved.