Radiation transfer in absorbing, emitting two-dimensional media bounded by reflecting walls

S. T. Thynell, W. Q. Lin

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


Radiation transfer in absorbing, emitting, two-dimensional rectangular media bounded by diffusely reflecting walls is analyzed. The analysis of the considered problem is based on utilizing the integral form of the integro- differential equation of radiative transfer, which is represented by a system of four coupled Fredholm type integral equations. To solve in a highly accurate manner for the unknown functions, power series expansions are employed. A collocation strategy based on the zeroes of the Chebyshev polynomials is subsequently applied to generate a system of linear algebraic equations for the unknown expansion coefficients. A comprehensive parametric study is performed in order to examine the importance of the reflecting walls, as opposed to assuming black bounding walls.

Original languageEnglish (US)
Pages (from-to)9-16
Number of pages8
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
StatePublished - 1989
EventHeat Transfer Phenomena in Radiation, Combustion, and Fires - Philadelphia, PA, USA
Duration: Aug 6 1989Aug 9 1989

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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