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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

Hansen, P. C., 1998, Rank-Deficient and Discrete III-Posed Problems: Numerical Aspects of Linear Inversion, SIAM, Philadelphia.
Harutunian, V., Morales, J. C., and Howell, J. R., 1995, “Radiation Exchange Within an Enclosure of Diffuse-Gray Surfaces: The Inverse Problem,” Proc. ASME/AIChE National Heat Transfer Conference, Portland, OR.
Oguma, M., and Howell, J. R., 1995, “Solution of Two-Dimensional Blackbody Inverse Radiation Problems by Inverse Monte Carlo Method,” Proc. ASME/JSME Joint Thermal Engineering Conference, Maui, Hawaii.
Morales, J. C., Harutunian, V., Oguma, M., and Howell, J. R., 1996, “Inverse Design of Radiating Enclosures With an Isothermal Participating Medium,” Radiative Transfer I: Proc. First Int. Symp. on Radiative Heat Transfer, M. Pinar Mengüç, ed., Begell House, New York, pp. 579–593.
França, F., and Goldstein, L., 1996, “Application of the Zoning Method in Radiative Inverse Problems,” Proc. Brazilian Congress of Engineering and Thermal Sciences, ENCIT 96, Florianópolis, Brazil, Vol. 3, pp. 1655–1660.
Matsumura, M., Morales, J. C., and Howell, J. R., 1998, “Optimal Design of Industrial Furnaces by Using Numerical Solution of the Inverse Radiation Problem,” Proc. of the 1998 Int. Gas Research Conf., San Diego, CA.
Kudo, K., Kuroda, A., Eid, A., Saito, T., Oguma, M., 1996, “Solution of the Inverse Radiative Heat Source Problems by the Singular Value Decomposition,” Radiative Transfer I: Proc. First Int. Symp. on Radiative Heat Transfer, M. Pinar Menguç, ed., Begell House, New York, pp. 568–578.
França, F., Morales, J. C., Oguma, M., and Howell, J., 1998, “Inverse Radiation Heat Transfer Within Enclosures With Nonisothermal Participating Media,” Proc. of the 11th Int. Heat Transfer Conference, Korea, 1 , pp. 433–438.
França, F., Oguma, M., and Howell, J. R., 1998, “Inverse Radiation Heat Transfer Within Enclosures With Non-Isothermal, Non-Gray Participating Media,” Proc. of the ASME 1998 International Mechanical Engineering Congress and Exposition, Anaheim, CA, 5 , pp. 145–151.
França, F., Ezekoye, O. A., and Howell, J. R., 1999, “Inverse Determination of Heat Source Distribution in Radiative Systems With Participating Media,” Proc. of National Heat Transfer Conference, Albuquerque, New Mexico.
França, F., Ezekoye, O., and Howell, J., 1999, “Inverse Heat Source Design Combining Radiation and Conduction Heat Transfer,” Proc. of the ASME 1999 International Mechanical Engineering Congress and Exposition, Nashville, 1 , pp. 45–52.
Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd ed. Hemisphere Publishing Corporation, Washington.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Bristol, PA.
Morales Rebellon, Juan Carlos, 1998, Radiation Exchange within Enclosures of Diffuse Gray Surfaces: The Inverse Problem, Ph.D. dissertation, Department of Mechanical Engineering, The University of Texas, Austin, TX, May.

Figures

Grahic Jump Location
Two-dimensional enclosure for inverse design
Grahic Jump Location
Division of the enclosure into spatially coincident zones and control volumes
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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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