Simultaneous reconstruction of 3D temperature distribution and radiative properties of participating media based on the multi-spectral light-field imaging technique

Abstract A method based on multi-spectral light-field imaging technique is developed for the simultaneous reconstruction of the multi-dimensional inhomogeneous temperature distribution and radiative properties (scattering and absorption coefficients) of participating media. The generalized sourced multi-flux method (GSMFM) is applied to simulate the exit radiation intensities in arbitrary directions at the boundary surfaces of absorbing, emitting, and scattering media, which are used as inputs for the inverse analysis. Based on the forward GSMFM solution, a hybrid least-square QR decomposition–conjugate gradient (LSQR–CG) algorithm is developed to reconstruct simultaneously the multi-dimensional temperature distribution and the absorption and scattering coefficients of cylindrical participating media. The retrieval results indicate that the temperature distribution and radiative properties can be recovered even with noisy data, and that the reconstruction results of the temperature distribution are more accurate than those of the radiative properties. An experiment is performed to validate the suitability of the proposed method, and the temperature distribution and radiative properties of the ethylene diffusion flame with Al 2 O 3 particles are reconstructed using the LSQR–CG algorithm. Moreover, the thermocouple is applied to measure the temperature of flame at different positions, and the measurement results are compared with the reconstructed results. All the experimental results show that the temperature distribution and radiative properties of ethylene flame can be reconstructed reasonably using the proposed LSQR–CG method combined with the multi-spectral light-field imaging technique, which has the potential to be widely applied to the non-contract measurement of the temperature distribution and radiative properties in practical engineering applications.

[1]  Huai-Chun Zhou,et al.  Experimental investigations on visualization of three-dimensional temperature distributions in a large-scale pulverized-coal-fired boiler furnace , 2005 .

[2]  Yong Yan,et al.  Recent Advances in Flame Tomography , 2012 .

[3]  Chuanlong Xu,et al.  Three-dimensional temperature field measurement of flame using a single light field camera. , 2016, Optics express.

[4]  Yong Yan,et al.  A digital imaging based multifunctional flame monitoring system , 2004, IEEE Transactions on Instrumentation and Measurement.

[5]  Yong Yan,et al.  Characterisation of biomass and coal co-firing on a 3 MWth Combustion Test Facility using flame imaging and gas/ash sampling techniques , 2009 .

[6]  Xiao-Wei Gao,et al.  Inverse radiation analysis in an absorbing, emitting and non-gray participating medium , 2011 .

[7]  Cheng Zhi.  INVESTIGATE INTO THE CHARACTERISTIC EMISSION LINE OF FLAME , 2004 .

[8]  Yong Yan,et al.  Impact of co-firing coal and biomass on flame characteristics and stability , 2008 .

[9]  Yong Yan,et al.  Three-Dimensional Tomographic Reconstruction of the Luminosity Distribution of a Combustion Flame , 2007, IEEE Transactions on Instrumentation and Measurement.

[10]  Jay B. Jeffries,et al.  Two-dimensional tomography for gas concentration and temperature distributions based on tunable diode laser absorption spectroscopy , 2010 .

[11]  Byoungho Lee,et al.  Real-time depth controllable integral imaging pickup and reconstruction method with a light field camera. , 2015, Applied optics.

[12]  Dong Liu,et al.  Reconstruction of soot temperature and volume fraction profiles of an asymmetric flame using stereoscopic tomography , 2009 .

[13]  Dong Liu,et al.  Inverse radiation problem of temperature field in three-dimensional rectangular enclosure containing inhomogeneous, anisotropically scattering media , 2008 .

[14]  Zixue Luo,et al.  A Combustion-Monitoring System With 3-D Temperature Reconstruction Based on Flame-Image Processing Technique , 2007, IEEE Transactions on Instrumentation and Measurement.

[15]  Zhou Huai-chun,et al.  Measurements on flame temperature and its 3D distribution in a 660 MWe arch-fired coal combustion furnace by visible image processing and verification by using an infrared pyrometer , 2009 .

[16]  Jürgen Czarske,et al.  High-speed light field camera and frequency division multiplexing for fast multi-plane velocity measurements. , 2015, Optics express.

[17]  Xiangyu Zhang,et al.  Simultaneous Measurement of Three-Dimensional Temperature Distributions and Radiative Properties Based on Radiation Image Processing Technology in a Gas-Fired Pilot Tubular Furnace , 2014 .

[18]  Michael A. Saunders,et al.  Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems , 1982, TOMS.

[19]  Zhihua Wang,et al.  Modified convolution method to reconstruct particle hologram with an elliptical Gaussian beam illumination. , 2013, Optics express.

[20]  Zhengjun Liu,et al.  Double image encryption by using iterative random binary encoding in gyrator domains. , 2010, Optics express.

[21]  Yong Yan,et al.  Optical Fiber Imaging Based Tomographic Reconstruction of Burner Flames , 2012, IEEE Transactions on Instrumentation and Measurement.

[22]  He-Ping Tan,et al.  SIMULTANEOUS IDENTIFICATION OF TEMPERATURE PROFILE AND WALL EMISSIVITIES IN ONE-DIMENSIONAL SEMITRANSPARENT MEDIUM BY INVERSE RADIATION ANALYSIS , 1999 .

[23]  Ma Zeng.  Experimental Study of Temperature and Concentration Distribution Measurement Based on Flame Image , 2003 .

[24]  Fei Wang,et al.  The research on the estimation for the NOx emissive concentration of the pulverized coal boiler by the flame image processing technique , 2002 .

[25]  Yong Yan,et al.  Monitoring and characterisation of pulverised coal flames using digital imaging techniques , 2002 .

[26]  Wang Fuqiang,et al.  Heat transfer performance enhancement and thermal strain restrain of tube receiver for parabolic trough solar collector by using asymmetric outward convex corrugated tube , 2016 .

[27]  Hong Qi,et al.  Efficient and robust method for simultaneous reconstruction of the temperature distribution and radiative properties in absorbing, emitting, and scattering media , 2016 .

[28]  Bin Liu,et al.  Simulation of light-field camera imaging based on ray splitting Monte Carlo method , 2015 .

[29]  Dong Liu,et al.  Simultaneous measurements of two-dimensional temperature and particle concentration distribution from the image of the pulverized-coal flame , 2010 .

[30]  이재용.  [ZOOM UP : 한국수력원자력] 차량 전달 통해 지역아동센터 어린이 안전 귀가 앞장 , 2014 .