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TECHNICAL PAPERS: Radiative Transfer

Analysis of Radiative Heat Transfer in Complex Two-Dimensional Enclosures With Obstacles Using the Modified Discrete Ordinates Method

[+] Author and Article Information
M. Sakami, A. El Kasmi, A. Charette

Groupe de Recherche en Ingénierie des Procédés et Systèmes, Université du Québec à Chicoutimi, 555, boulevard de l’université, Chicoutimi, Québec, Canada, G7H 2B1

J. Heat Transfer 123(5), 892-900 (Jan 20, 2001) (9 pages) doi:10.1115/1.1375812 History: Revised January 20, 2001
Copyright © 2001 by ASME
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References

Figures

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Radiative heat flux at the top wall (cold, Fig. 3(d)) obtained by the SDO and MDO methods, average element size=0.04 m, ω=1, β=1 m−1
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Contribution of the infinite wall strip dA to the in-scatter process within an arbitrary geometry. dA and the point (xs,ys,0) define the differential solid angle dΩ. Note that θ has been displaced to the rear wall to avoid confusion on the figure, however, it should be seen as normal to dA.
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Case where one side of a quadrilateral received radiation from the three other sides
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(a) Irregular quadrilateral, (b) square obstacle, (c) elliptical protrusion, and (d) square enclosure with two oblique baffles (as obstacles with zero thickness)
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(a) Heat flux at the bottom wall (Fig. 3(a)) obtained by the S6 quadrature, 11 × 11 grid, ω=0;(b) heat flux at the bottom wall (Fig. 3(a)) obtained by the S6 quadrature, 21 × 21 grid, ω=0
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False scattering test problem: (a) comparison between the diamond, step and the IES schemes for the 60 deg direction; and (b) IES scheme for the diagonal direction (45 deg). Step: upper value; IES: middle value; diamond: lower value.
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Radiative heat flux at wall 3 (500 K, Fig. 3(b)) obtained by the SDO method for different quadratures, isotropic scattering case, average element size=0.04 m, ω=1,β=1 m−1
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Comparison of radiative heat flux at wall 3 (500 K, Fig. 3(b)) obtained by the SDO and MDO methods, isotropic scattering case, average element size=0.04 m, ω=1,β=1 m−1
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Comparison of radiative heat flux at wall 5 (500 K, Fig. 3(b)) obtained by the SDO and the MDO methods, isotropic scattering case, average element size=0.40 m, ω=1,β=1 m−1
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Effect of the emissivity on the radiative heat flux at wall 5 (500 K, Fig. 3(b)) obtained by the SDO and the MDO methods, isotropic scattering case, average element size=0.40 m, ω=1, β=1 m−1
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Radiative heat flux at cold wall 4 (500 K, Fig. 3(c)) of the elliptical protrusion case, obtained by the SDO and the MDO methods, isotropic scattering case, average element size=0.033 m, ω=1, β=1 m−1
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Effect of the scattering phase functions on the radiative heat flux at wall 4 of the elliptical protrusion case obtained by the SDO and the MDO methods, average element size=0.033 m, ω=1, β=1 m−1 , DCT111-1246810 quadrature

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