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

Abstract

In the decoupled reconstruction method, using an improved Tikhonov regularization method, the temperature distribution in a participating medium is reconstructed from the boundary temperature image, and the radiative properties (absorption and scattering coefficients) are updated from the measured radiative intensity image. These two steps are taken alternately until convergence is reached. The distributions of temperature and radiative properties for two one-dimensional cases are reconstructed by the method from the boundary temperature and intensity images disturbed by measuremental errors with standard deviations up to 0.05, and the method shows good accuracy and robustness.

Estimation of radiative properties and temperature distributions in coal-fired boiler furnaces by a portable image processing system

“…A Newtonian-type iteration algorithm and the least-squares method are used to estimate the absorption and scattering coefficients of the medium. It has been proven that the radiative properties can converge to stable values after a few iterations [15].…”

“…A decoupled reconstruction method combining optimization methodology and regularization methodology was proposed to simultaneously reconstruct the temperature distribution and the averaged absorption and scattering coefficient of medium [15]. The reconstruction procedure can be described as below.…”

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

“…The radiative intensity image I k and the temperature image T m can be detected by the CCD cameras and they serve as input data. A Tikhonov regularization method has been used to reconstruct the temperature distribution from the radiative temperature image T m , while the inverse radiative property problem was formulated as an optimization problem that minimizes the errors between the measured and calculated boundary radiative intensity [19,20]. The reconstruction steps are described as below.…”

“…The reconstruction principle of temperature and radiative properties was described as in [19,20]. The radiative intensity image I k and the temperature image T m can be detected by the CCD cameras and they serve as input data.…”

“…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. Snelling et al [21] have used tomography of line-of-sight emission spectra within the 500-945 nm wavelength range for determination of distributions of temperature and soot volume fraction in an axisymmetric laminar diffusion flame using Abel three-point inversion.…”