Reconstruction of Temperature Distribution in the Combustion Region of a Non-Gray Medium

Abstract

Two-dimensional temperature distribution in the combustion region of a radiant furnace with non-gray gaseous products is reconstructed in an inverse manner. The discrete ordinate method is used to solve the radiative transfer equation, and the non-gray behavior of gaseous medium is modeled by the spectral line weighted sum of gray gas model. Conjugate gradient method is employed for the inverse analysis. The domain of interest is divided into two regions: the unknown- and known-temperature zones. The temperature distribution in the unknown-temperature zone, near the flame, is recovered in an inverse manner by the measurement of heat fluxes over the opposite walls in the direction of flame diffusion. Effects of the size of unknown-temperature zone, variable concentrations, and measurement errors in temperature reconstruction are discussed.