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Improved integral equation method based on radiation distribution factors for high-resolution radiative intensity in graded index media

  • Lin Yang Wei
  • , Hong Qi*
  • , Yang Li
  • , Shuang Wen
  • , Ya Tao Ren
  • , Md Arafat Islam
  • , Li Ming Ruan
  • *Corresponding author for this work
  • School of Energy Science and Engineering, Harbin Institute of Technology
  • Ministry of Industry and Information Technology

Research output: Contribution to journalArticlepeer-review

Abstract

An improved integral equation method based on radiation distribution factors (RDFIEM) is developed to solve the radiative intensity with high directional resolution in semitransparent media with graded refractive index (GRI). The radiation distribution factors (RDFs) are solved by using the reverse Monte Carlo curved ray tracing technique (RMCCRT). Based on the RDFs, the source terms along the curved ray path decided by the Fermat principle are predicted accurately. Then, the integral equation method (IEM) is employed to solve the radiative intensity through integral along the curved ray path. One-dimensional and two-dimensional test cases are done, and all the results show that the RDFIEM is not only flexible in treating directional radiation problems but also very accurate and efficient.

Original languageEnglish
Pages (from-to)393-404
Number of pages12
JournalInternational Journal of Thermal Sciences
Volume138
DOIs
StatePublished - Apr 2019
Externally publishedYes

Keywords

  • Graded refractive index
  • High-resolution radiative intensity
  • RDFIEM
  • Semitransparent media

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