A finite difference solution of non-linear systems of radiative-conductive heat transfer equations

A nite di erence solution for a system of non-linear integro–di erential equations modelling the steadystate combined radiative–conductive heat transfer is proposed. A new backward–forward nite di erence scheme is formulated for the Radiative Transfer Equation. The non-linear heat conduction equation is solved using the Kirchho transformation associated with a centred nite di erence scheme. The coupled system of equations is solved using a xed-point method, which relates to the temperature eld. An application on a real insulator composed of silica bres is illustrated. The results show that the method is very e cient