Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media

Citation
Lh. Liu et al., Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media, INT J HEAT, 44(1), 2001, pp. 63-72
Citations number
17
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN journal
00179310 → ACNP
Volume
44
Issue
1
Year of publication
2001
Pages
63 - 72
Database
ISI
SICI code
0017-9310(200101)44:1<63:IRPOSA>2.0.ZU;2-S
Abstract
An inverse analysis is presented for simultaneous estimation of the source term distribution and the boundary emissivity for an absorbing, emitting, a nisotropic scattering, and gray plane-parallel medium with opaque and diffu se bounding surfaces from the knowledge of the exit radiation intensities a nd temperature at boundary surfaces. The inverse problem is formulated as a n optimization problem that minimizes the errors between the exit radiation intensities calculated and the experimental data. The conjugate gradient m ethod and the two-dimensional network searching method are used to solve th e inverse problem. The effects of the measurement errors, anisotropic scatt ering, single-scattering albedo, optical thickness, and boundary emissivity on the accuracy of the inverse analysis are investigated. The results show that the source term and the boundary emissivity can be simultaneously est imated accurately for exact and noisy data, and the estimation of boundary emissivity is more sensitive to the measurement errors. (C) 2000 Elsevier S cience Ltd. All rights reserved.