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FAST RADIATIVE MODEL FOR MODELING COUPLED HEAT TRANSFERS IN SOLID AND LIQUID SEMI-TRANSPARENT MATERIALS

DOI: 10.1615/ICHMT.2008.CHT.1660
21 pages

Hoang Quan Nguyen
Laboratoire d'Energétique et de Mécanique Théorique et Appliquée (LEMTA - ENSEM), UMR - CNRS 7563 - UHP - Nancy I, Institut National Polytechnique de Lorraine, France

Benjamin Remy
University of Lorraine, LEMTA Lab, 2 avenue de la Forêt de Haye - BP 90161 - 54505 Vandoeuvre cedex, France; CNRS, LEMTA, France

Alain Degiovanni
L.E.M.T.A − I.N.P.L − U.H.P Nancy I − U.M.R-7563 02, avenue de la Foret de Haye, B.P. 160 54 504 Vandceuvre-Les-Nancy Cedex France

Abstrakt

This paper deals with radiative heat transfer coupled with conduction and convection in Glass forming process. The Radiative Transfer Equation (RTE) coupled with the heat transfer is often difficult to solve numerically. We propose to solve this problem 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 modeled through a single second-order governing equation that exhibits the same form as heat transfer equation. Thus, it can be implemented easily in commercial codes. Validation of this model with different 1D and 2D test cases (steady-state and transient regimes) is performed. Some results obtained for more difficult cases and more complex geometry as differentially heated cavity with a large range of optical thickness and L-Shaped domain are then presented. This model appears to be of a particular interest for modeling heat transfers involved in Glass bath or simulation of mould filling processing.

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