Solution of the Inverse Radiative Load Problem Using the Singular Value Decomposition Technique.

Abstract

A method is developed for solving inverse radiative load problems within multidimensional systems with arbitrary shapes. The energy equations for each gas and wall element are expressed in a matrix form, and the inverse matrix is obtained by the singular value decomposition techniqe in order to estimate the temperature and heat load distributions within the gas region from the profiles of the heat flux and the temperature of the wall elements. From these analyses, the method is shown to 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.