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Title: Approximation errors in the heat flux integral of the discrete transfer method, part 2: participating media
Authors: Versteeg, Hendrik K.
Henson, Jonathan C.
Malalasekera, W.
Issue Date: 1999
Publisher: © Taylor & Francis
Citation: VERSTEEG, H.K., HENSON, J.C. and MALALASEKERA, W., 1999. Approximation errors in the heat flux integral of the discrete transfer method, part 2: participating media. Numerical Heat Transfer, Part B: Fundamentals, 36 (4), pp. 409-432
Abstract: The truncation error in the heat flux integral associated with the discrete transfer method (DTM) is the difference between the actual heat flux and its approximation. Estimates of this error in radiative heat transfer problems in enclosures filled with a transparent medium were presented in a companion article [1]. Here we extend the methodology to cases in volving participating media. We give expressions for the errors associated with the discretization of the heat flux integral for enclosures where the surface intensity and medium source function are known exactly and represented as piecewise constant. Excellent agreement between theoretical and computed errors was found for three illustrative test cases. The theory was also applied to one of the cases of the well-known Hsu and Farmer (1995) benchmark [9]. A good match was obtained between the error limits of the Monte Carlo and DTM solutions.
Description: This article is closed access, it is an article from the journal, Numerical Heat Transfer, Part B [© Taylor & Francis]. The definitive version is available at: http://dx.doi.org/10.1080/104077999275604
Version: Closed access
DOI: 10.1080/104077999275604
URI: https://dspace.lboro.ac.uk/2134/5503
ISSN: 1040-7790
Appears in Collections:Closed Access (Mechanical, Electrical and Manufacturing Engineering)

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