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TECHNICAL PAPERS: Radiative Transfer

Inverse Design Model for Radiative Heat Transfer

[+] Author and Article Information
J. R. Howell, O. A. Ezekoye, J. C. Morales

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78714-1063

J. Heat Transfer 122(3), 492-502 (Apr 19, 2000) (11 pages) doi:10.1115/1.1288774 History: Received October 25, 1999; Revised April 19, 2000
Copyright © 2000 by ASME
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References

Figures

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Geometry for an inverse radiative transfer problem
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Net dimensionless radiative flux Q1(X)=qnet(x)/σtref4 on bottom surface of black rectangular enclosure with Ttop=T3=2,T2=T4=1.5, and T1=Tbottom=1.0, aspect ratio A=h/w=0.5
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Temperature distribution on top surface of black rectangular enclosure for various side-wall temperatures, T1=Tbottom=1.0, imposed net dimensionless radiative flux Q1(X) from Fig. 2, aspect ratio A=h/w=0.5
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Error in predicted heat flux on bottom surface versus regularization parameter α using temperature distributions on top surface of black rectangular enclosure for various sidewall temperatures from Fig. 4, T1=Tbottom=1.0, imposed net dimensionless radiative flux Q1(X) from Fig. 2, aspect ratio A=h/w=0.5
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Comparison of predicted top surface temperature T3(X) in square enclosure by 3 methods
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Temperature distribution on top surface of black rectangular enclosure containing a gray cold gas with optical thickness τ=ah;T1=Tbottom=1.0, imposed net dimensionless radiative flux Q1(X) from Fig. 3, aspect ratio A=h/w=0.5
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Error in predicted heat flux on bottom surface versus regularization parameter α using temperature distributions on top surface of black rectangular enclosure for various medium optical thicknesses from Fig. 6, T1=Tbottom=1.0, imposed net dimensionless radiative flux Q1(X) from Fig. 3, aspect ratio A=h/w=0.5
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Error in predicted dimensionless heat flux distribution Q1(X) for various levels of surface grid refinement
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Radiosity distribution along unknown surface with geometry aspect ratio A=w/h as a parameter
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Temperature profiles on the interior surfaces of a radiantly heated process furnace enclosing a transparent medium by inverse analysis. All surfaces adiabatic except upper half of left end (the heater) and the bottom surface, which is at uniform temperature and given heat flux distribution. Heater temperature profiles are for cases when the bottom surface emissivity is varied as shown.

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