TY - JOUR ID - 4763 TI - Inverse Reconstruction of Absorption-Coefficient Distribution in a Two-Dimensional Radiative Medium from the Knowledge of Wall Heat Fluxes JO - AUT Journal of Mechanical Engineering JA - AJME LA - en SN - 2588-2937 AU - Tanzadeh Panah, Mahboube AU - Hoseini Sarvari, Seyed Masoud AD - Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran Y1 - 2022 PY - 2022 VL - 6 IS - 3 SP - 415 EP - 426 KW - Radiative heat transfer KW - Inverse estimation KW - Discrete transfer method KW - Conjugate Gradient Method DO - 10.22060/ajme.2022.20599.6008 N2 - In this article, an inverse radiation analysis is presented to reconstruct the absorption coefficient distribution from the knowledge of wall heat fluxes for a two-dimensional, absorbing-emitting medium with black walls. The inverse approach aims to find the location of inclusion with a different absorption coefficient. For this purpose, the study is divided into two parts; the direct and the inverse problems. In the direct problem, the radiative transfer equation is solved by the discrete transfer method from the knowledge of the absorption coefficient distribution and we obtain heat fluxes over the walls. Then the measured data are simulated virtually by adding the random errors to heat fluxes. The conjugate gradient method is used to solve the inverse problem to estimate the absorption coefficient distribution. As the measured data are less than the estimated parameters, a multi-step procedure is adopted to restrict the search region. Results show that the absorption coefficient distribution is well recovered in the medium with a low absorption coefficient by a two steps procedure. The results show that the location of inclusion may be found even by noisy data with 1% and 3% measurement errors. However, as the absorption coefficient increases, the location of inclusion is reconstructed in a three steps procedure and the inverse estimation becomes less efficient and time-consuming. UR - https://ajme.aut.ac.ir/article_4763.html L1 - https://ajme.aut.ac.ir/article_4763_8a3b667290302e745ef237a26874310f.pdf ER -