Transient radiative and conductive heat transfer in non-gray semitransparent two-dimensional media with mixed boundary conditions |
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Authors: | Lacroix David Berour Nacer Boulet Pascal Jeandel Gérard |
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Institution: | (1) LEMTA - Faculté des Sciences et Techniques, Université Henri Poincaré, Nancy 1, B.P. 239, 54506 Vandœuvre les Nancy cedex, France |
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Abstract: | This paper is devoted to transient heat transfer involving radiation and conduction. Considering a non-gray purely absorbing
media, the radiative heat transfer equation (RTE) is solved iteratively with the Discrete Ordinates Method (DOM) using an
exponential differencing scheme. The energy balance equation is used to compute temperature at each time step with the Crank–Nicholson
technique. Energy equation is coupled to the RTE through the radiative source term. Both equations are discretized with finite
differencing schemes. The energy conservation leads to the sparse system of linear equations A× T=B which is solved with a bi-conjugate stabilized gradient technique (BCSG). Validation of the model with different test cases
is achieved and application to transient heating of glass is also studied. |
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Keywords: | Radiation Conduction Glass Transient heat transfer Non-gray medium |
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