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ISSN 961-91393-0-5
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 Year 1997
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632 pages
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Volume price - $192.00
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ASSESSMENT OF DISCRETE ORDINATES METHOD FOR RADIATIVE TRANSFER IN YLINDRICAL FURNACES
Nevin Selcuck
Chemical Engineering Department, Middle East Technical University, 06531 Ankara, Turkey
Nuray Kayakol
Technical University of Darmstadt, Energy Systems and Technology, Petersenstraße 30, D-64287 Darmstadt, Germany; and Middle East Technical University, Turkiye
ABSTRACT
The solution accuracy of Sn or Discrete Ordinates Method (DOM) was assessed by comparing its predictions with exact solutions reported earlier on a cylindrical enclosure problem with steep temperature gradients. The enclosure has interior black walls and an absorbing-emitting medium of constant properties. Predictive accuracy was investigated for two angular quadrature schemes: 1) the Sn discrete ordinates approximation ( S2 and S4 ) and 2) the modified piecewise constant angular (PCA) approximation. Comparative testing shows that all predictions agree well with the exact solutions and that Sn approximations produce slightly better accuracy than the modified PCA approximation in radiative heat flux densities. The sensitivity of the predictions of the DOM to radiative properties was also examined by performing calculations for various absorption coefficients. Comparative testing shows that the discrepancies between the predictions increase with the coefficient and hence the accuracy of a radiation model should be tested in isolation from radiative property estimation.
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