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TECHNICAL PAPERS: Radiative Transfer

Inverse Boundary Design Combining Radiation and Convection Heat Transfer

[+] Author and Article Information
Francis H. R. França, Ofodike A. Ezekoye, John R. Howell

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712-1063

J. Heat Transfer 123(5), 884-891 (Feb 20, 2001) (8 pages) doi:10.1115/1.1388298 History: Received April 12, 2000; Revised February 20, 2001
Copyright © 2001 by ASME
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References

Figures

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Two-dimensional enclosure for inverse design
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Division of the enclosure into spatially coincident zones and control volumes
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Singular values of matrix A for different heater dimensionless lengths, LH/H.L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8;Re=2,000;Pr=0.69;NCR=7.60×10−4. Grid: 50×20.
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Heat flux on the heater for LH/H=3.0 with p=5. Design surface: t1=1.0 and Q1t=−16.0;L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8;Re=2,000;Pr=0.69;NCR=7.60×10−4. Grid: 50×20.
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Heat flux on the heater for different LH/H with p=6. Design surface: t1=1.0 and Q1t=−16.0;L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8;Re=2,000;Pr=0.69;NCR=7.60×10−4. Grid: 50×20.
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Heat flux on the heater for different LH/H with p=7. Design surface: t1=1.0 and Q1t=−16.0;L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8;Re=2,000;Pr=0.69;NCR=7.60×10−4. Grid: 50×20.
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Singular values of matrix A for different grid resolutions: 50×20,75×30,100×40,125×50.L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8;Re=2,000;Pr=0.69;NCR=7.60×10−4.
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Heat flux on the heater for four different grid resolutions: 50×20, 75×30, 100×40, and 125×50, and employing only 6 heating devices. Design surface: t1=1.0 and Q1t=−16.0;L/H=5.0;LD/H=3.0;τH=0.2;ε13=0.8; Re=2000; Pr=0.69; NCR=7.60×10−4;LH/H=4.2 with p=6.
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Heat fluxes on the design surface: as imposed, and employing 42 and 6 heating elements. Design surface: t1=1.0 and Q1t=−16.0;L/H=5.0;LD/H=3.0;τH=0.2.;ε13=0.8; Re=2000; Pr=0.69; NCR=7.60×10−4;LH/H=4.2 with p=6; Grid: 50×20.

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