SOLUTION OF THE INVERSE RADIATIVE LOAD PROBLEM USING THE SINGULAR-VALUE DECOMPOSITION TECHNIQUE

A method is developed for solving inverse radiative load problems with in multidimensional systems with arbitrary shapes. The energy equation s for each gas and wall element are expressed in a matrix form, and th e inverse matrix is obtained by the singular value decomposition techn iqe in order to estimate the temperature and heat load distributions w ithin the gas region from the profiles of the heat flux and the temper ature of the wall elements. From these analyses, the method is shown t o give stable results for the radiative inverse load problems when the condition number of the matrix is reduced to an appropriate low value by setting some singular values to 0.