Inverse radiation problem of temperature field in three-dimensional rectangular furnaces

The discrete ordinates method is used to developed a solution to an inverse radiation problem of temperature field in rectangular furnaces. It is assu med that, with the exception of the inhomogeneous temperature field, all as pects of the radiation transport problem are known. A method is developed t o determine the inhomogeneous temperature field from specified incident rad iation heat fluxes at the centers of boundary walls. The inverse problem is solved using conjugate gradient method that minimize the error between the incident radiation heat fluxes calculated and the experimental data. The r esults of temperature estimation show that the temperature field can be est imated accurately, even with noisy data. (C) 1999 Elsevier Science Ltd.