Approximate solution to radiative transfer in two-dimensional cylindrical media

Jose B. Pessoa-Filho, Stefan Thynell

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The development of an approximate solution to radiative transfer in two-dimensional, absorbing, emitting, scattering, cylindrical media is presented. The approach is based on an isolation of the discontinuities in the intensity prior to specifying the set of discrete ordinates. The discontinuities in the intensity or its slope at any point within the medium or at the bounding wall may be due to property variation along a bounding wall or at a corner, or the bounding geometry. The chosen set of discrete ordinates is based on Gaussian quadratures, and integrations are performed over solid angles over which the intensity is continuous and possesses continuous derivatives. Results for the incident radiation and radiative heat flux are presented for different physical configurations, and they are in good agreement with those available in the literature. In particular, approximately an order-of-magnitude fewer unknown intensities are involved in the solution in order to obtain results of accuracy comparable to the discrete-ordinates method.

Original languageEnglish (US)
Pages (from-to)83-94
Number of pages12
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume311
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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