Differential approximations for transient radiative transfer through a participating medium exposed to collimated irradiation

Chih-Yang Wu, N. R. Ou

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30 Citations (Scopus)

Abstract

First, we apply the modified differential approximation (MDA) suggested by Chandrasekhar to transient radiative transfer in a scattering planar medium exposed to collimated pulse irradiation. Next, a hybrid method of the P1/3 approximation suggested by Olson and the MDA is developed. The hybrid method may be referred to as the modified P1/3 approximation (MP1/3A) and is also applied to the same example. Comparisons of the results obtained by solving the MDA, the MP1/3A and the exact integral equation are made. The comparisons show that the temporal distribution of the transmissivity obtained by the MDA contains a small protuberance or an abrupt slope change, which decreases with the decrease of the scattering albedo. The results obtained by the MP1/3A are more accurate than those obtained by the MDA for most of the cases considered, because the MP1/3A corrects the propagation speed of the transmitted radiation.

Original languageEnglish
Pages (from-to)111-120
Number of pages10
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume73
Issue number1
DOIs
Publication statusPublished - 2002 Apr 1

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Radiative transfer
radiative transfer
Irradiation
Scattering
irradiation
approximation
Integral equations
Radiation
protuberances
transmissivity
temporal distribution
albedo
scattering
integral equations
slopes
propagation

All Science Journal Classification (ASJC) codes

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy

Cite this

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