Inverse radiation analysis of simultaneous estimation of temperature field and radiative properties in a two-dimensional participating medium

An inverse radiation analysis is presented for simultaneous estimation of temperature field and radiative properties including absorption and scattering coefficients in a two-dimensional rectangular, absorbing, emitting and scattering gray medium from the knowledge of the exit radiative energy received by charge-coupled device (CCD) cameras at boundary surfaces. The backward Monte Carlo method was introduced to describe the radiative heat transfer for its efficiency. The inverse problem is formulated as an optimization problem and solved by the least-square QR decomposition (LSQR) method. The effects of measurement errors, optical thickness and search step length on the accuracy of the estimation were investigated and the results show that the temperature field and radiative properties can be reconstructed accurately for the exact and noisy data.

[1]  Tan Heping,et al.  Inverse radiation problem of temperature field in three-dimensional rectangular furnaces , 1999 .

[2]  He-Ping Tan,et al.  Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media , 2001 .

[3]  Huaichun Zhou,et al.  Simultaneous reconstruction of temperature distribution, absorptivity of wall surface and absorption coefficient of medium in a 2-D furnace system , 2003 .

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

[5]  Hung-Yi Li.  Estimation of the temperature profile in a cylindrical medium by inverse analysis , 1994 .

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

[7]  L. H. Liu.  Simultaneous identification of temperature profile and absorption coefficient in one-dimensional semitransparent medium by inverse radiation analysis , 2000 .

[8]  Michael A. Saunders,et al.  LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.

[9]  Hung-Yi Li,et al.  A two-dimensional cylindrical inverse source problem in radiative transfer , 2001 .

[10]  C. Zheng,et al.  An inverse radiative transfer problem of simultaneously estimating profiles of temperature and radiative parameters from boundary intensity and temperature measurements , 2002 .

[11]  Fabiana Zama,et al.  Iterative methods for ill-posed problems and semiconvergent sequences , 2006 .

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

[13]  N. Selçuk,et al.  Determination of soot temperature, volume fraction and refractive index from flame emission spectrometry , 2007 .

[14]  Lothar Reichel,et al.  Decomposition methods for large linear discrete ill-posed problems , 2007 .

[15]  R. Fraser,et al.  Spectrally Resolved Measurement of Flame Radiation to Determine Soot Temperature and Concentration , 2002 .

[16]  C. Lanczos.  An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .

[17]  Hung-Yi Li,et al.  Inverse Radiation Problem in Two-Dimensional Rectangular Media , 1997 .

[18]  Hung-Yi Li,et al.  Identification of the Temperature Profile in an Absorbing, Emitting, and Isotropically Scattering Medium by Inverse Analysis , 1992 .

[19]  Linhua Liu,et al.  Inverse radiation problem of source term in three-dimensional complicated geometric semitransparent media , 2001 .

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

[21]  Dong Liu,et al.  Efficient inverse radiation analysis of temperature distribution in participating medium based on backward Monte Carlo method , 2008 .

[22]  Michael F. Modest,et al.  Backward Monte Carlo Simulations in Radiative Heat Transfer , 2003 .

[23]  Norman J. McCormick,et al.  Inverse radiative transfer problems : a review , 1992 .

[24]  Linhua Liu,et al.  Inverse radiation problem in three-dimensional complicated geometric systems with opaque boundaries , 2001 .

[25]  C. E. Siewert.  A radiative-transfer inverse-source problem for a sphere , 1994 .

[26]  Hung-Yi Li,et al.  Inverse Radiation Problem for Simultaneous Estimation of Temperature Profile and Surface Reflectivity , 1993 .

[27]  C. E. Siewert.  An inverse source problem in radiative transfer , 1993 .