An inverse source problem in radiative transfer for spherical media

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Numerical Heat Transfer. Part B, Fundamentals

DOI:https://doi.org/10.1080/10407799708915108· OSTI ID:477332

Li, H Y ^[1]

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1. Hua Fan Coll. of Humanities and Technology, Taipei (Taiwan, Province of China). Dept. of Mechanical Engineering

A method is presented to identify the source term in a one-dimensional, absorbing, emitting, scattering spherical medium from the knowledge of the exit radiation intensities. The inverse radiation problem is formulated as an optimization problem. The sensitivity problem and the gradient equation are derived. The conjugate gradient method is used for its solution. Although the source term is a function of the space variable, only radiation intensities existing the outer boundary are required. Both data with and without measurement errors are used as input to identify the source term. The study shows that the estimation of the source term is more sensitive to increases in measurement errors as the optical thickness increases.

• Sponsoring Organization: National Science Council, Taipei (Taiwan, Province of China)
• OSTI ID: 477332
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals, Journal Name: Numerical Heat Transfer. Part B, Fundamentals Journal Issue: 2 Vol. 31; ISSN 1040-7790; ISSN NHBFEE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
INVERSE SCATTERING PROBLEM
NUMERICAL ANALYSIS
RADIANT HEAT TRANSFER
SPHERICAL CONFIGURATION