Inverse Boundary Design Combining Radiation and Convection Heat Transfer

Author:

Franc¸a Francis H. R.1,Ezekoye Ofodike A.1,Howell John R.1

Affiliation:

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

Abstract

This work investigates inverse boundary design for radiation, convection and conduction combined-mode heat transfer. The problem consists of finding the heat flux distribution on a heater that satisfies both the temperature and the heat flux prescribed on a design surface of an enclosure formed by two finite parallel plates. A gray participating medium flows in laminar regime between the walls, which are gray, diffuse emitters and absorbers. All the thermal properties are uniform. This problem is described by an ill-conditioned system of non-linear equations. The solution is obtained by regularizing the system of equations by means of truncated singular value decomposition (TSVD).

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference14 articles.

1. Hansen, P. C., 1998, Rank-Deficient and Discrete III-Posed Problems: Numerical Aspects of Linear Inversion, SIAM, Philadelphia.

2. 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.

3. 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.

4. 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 Mengu¨c¸, ed., Begell House, New York, pp. 579–593.

5. Franc¸a, F., and Goldstein, L., 1996, “Application of the Zoning Method in Radiative Inverse Problems,” Proc. Brazilian Congress of Engineering and Thermal Sciences, ENCIT 96, Floriano´polis, Brazil, Vol. 3, pp. 1655–1660.

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