Fast And Accurate Simplified Radiactive Model For Modeling Coupled Heat Transfers In Glass Forming Process

This paper deals with radioactive heat transfer coupled with conduction and convection in glass forming process. We propose to solve this problem very easily using a method based on a modified PN method approximating the RTE with a finite set of moment equations. After mathematical simplification, we show that radiation can be modelled through a single second-order governing equation that exhibits that same form as steady-state heat transfer equation. Thus it can be implemented very easily in commercial codes. Based on the use of this model, several applications are considered either in steady state or in transient regimes. Some results obtained for more difficult and more complex geometry as differentially heated cavity with a large range of optical thickness and L-Shape type domain are then presented.