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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

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Thurgood, C. P.,1992, “A Critical Evaluation of the Discrete Ordinates Method Using HEART and Tn Quadrature,” Ph.D. thesis, Queen’s University, Kingston, Canada.
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Figures

Grahic Jump Location
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.
Grahic Jump Location
Case where one side of a quadrilateral received radiation from the three other sides
Grahic Jump Location
(a) Irregular quadrilateral, (b) square obstacle, (c) elliptical protrusion, and (d) square enclosure with two oblique baffles (as obstacles with zero thickness)
Grahic Jump Location
(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
Grahic Jump Location
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.
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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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