A finite difference solution for a system of non-linear integro-differential equations modelling the steady- state combined radiative-conductive heat transfer is proposed. A new backward-forward finite difference scheme is formulated for the Radiative Transfer Equation. The non-linear heat conduction equation is solved using the Kirchhoff transformation associated with a centred finite difference scheme. The coupled system of equations is solved using a fixed-point method, which relates to the temperature field. An application on a real insulator composed of silica fibres is illustrated. The results show that the method is very efficient. Copyright © 2002 John Wiley and Sons, Ltd.
CITATION STYLE
Asllanaj, F., Milandri, A., Jeandel, G., & Roche, J. R. (2002). A finite difference solution of non-linear systems of radiative-conductive heat transfer equations. International Journal for Numerical Methods in Engineering, 54(11), 1649–1668. https://doi.org/10.1002/nme.490
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