Inverse Radiation-Conduction Problem of Estimation of Temperature-Dependent Absorption Coefficient in Participating Media

In this paper، an inverse analysis is performed for estimation of temperature-dependent absorption coefficient in a twodimensional absorbing، emitting and isotropically scattering medium. The finite volume method has been adopted as the numerical technique. The S method is employed to solve the radiative transfer equation. The inverse problem is solved by using a combined method of genetic algorithm and conjugate gradient. The accuracy of the presented method for solving the inverse radiation problem is checked by using four examples. The effect of the measurement errors on the accuracy of the inverse analysis is also investigated. The results show that the algorithm can estimate the unknown absorption coefficient when the measurement errors are neglected. Also it is found that increasing the measurement error decreases the accuracy of estimation of temperature-dependent absorption coefficient.