Simultaneous reconstruction of temperature distribution, absorptivity of wall surface and absorption coefficient of medium in a 2-D furnace system

Study of dual-phase drive synchronization method and temperature measurement algorithm for measuring external surface temperatures of ethylene cracking furnace tubes

“…Zhou et al [7] performed simulations and experimental investigations on the simultaneous reconstruction of temperature distributions, absorptivity of wall surfaces, and absorption coefficients of a medium within two-dimensional furnace systems. Furthermore, Masoumi et al [8] used a dynamic programming technique to develop an optimal temperature profile along the reactor of an ethylene cracking furnace.…”

Experimental investigation on simultaneous measurement of temperature distributions and radiative properties in an oil-fired tunnel furnace by radiation analysis

“…Liu [16] used the conjugate gradient method and the one-dimensional (1-D) search method to estimate the temperature profile and the absorption coefficient in an absorbing, emitting, non-scattering, and gray semitransparent parallel plane. Zhou et al [17,18] studied simultaneous estimation of the temperature distribution and radiative properties in 1-D and 2-D rectangle systems. Lou et al [19,20] proposed a decoupled method used to simultaneous reconstruction temperature distributions and radiative properties in a 1-D parallel plane medium and gave the measured results of absorption and scattering coefficients of particle medium in pulverized-coal-fired furnaces.…”

Decoupled Reconstruction Method for Simultaneous Estimation of Temperatures and Radiative Properties in a One-Dimensional, Gray, Participating Medium

“…Liu [13] used the conjugate gradient method and the one-dimensional (1-D) search method to estimate the temperature profile and the absorption coefficient in an absorbing, emitting, nonscattering, and gray semitransparent parallel plane. In our previous work, simultaneous estimation of the temperature distribution and radiative properties in 1-D and 2-D rectangular systems was studied [14][15][16]. In these works, a kind of temperature image obtained by the two-color method [17] serves as a necessary supplement to the boundary intensity image in the reconstruction.…”

“…In [15], the temperature, absorption, and scattering profiles were estimated by a Newton-type iteration algorithm in an absorbing, emitting, and isotropic scattering plane-parallel medium with transparent bounding surfaces. In [16], for a gray, absorbing, emitting, and nonscattering rectangular furnace surrounded by gray absorbing, emitting, and diffusely reflecting wall surfaces, the temperature distribution was reconstructed by an improved Tikhonov regularization method from a radiative energy image detected from the boundary of the furnace, while the uniform emissivity of the wall surface and the uniform absorption coefficient of the medium were updated from the temperature image grasped from the boundary. As stated in [16], the ability of this method to overcome measured errors was not good, and thus is improved in this article.…”

“…In [16], for a gray, absorbing, emitting, and nonscattering rectangular furnace surrounded by gray absorbing, emitting, and diffusely reflecting wall surfaces, the temperature distribution was reconstructed by an improved Tikhonov regularization method from a radiative energy image detected from the boundary of the furnace, while the uniform emissivity of the wall surface and the uniform absorption coefficient of the medium were updated from the temperature image grasped from the boundary. As stated in [16], the ability of this method to overcome measured errors was not good, and thus is improved in this article. In this article, the reconstruction method proposed in [14][15][16] is extended to form a decoupled reconstruction method which combines optimization methodology and regularization methodology.…”