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INVERSE DESIGN OF RADIATING ENCLOSURES WITH AN ISOTHERMAL PARTICIPATING MEDIUM

DOI: 10.1615/ICHMT.1995.RadTransfProc.410

Juan Carlos Morales
Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas, USA

Vigain Harutunian
Department of Mechanical Engineering, The University of Texas at Austin, USA

Masahito Oguma
Research Laboratory, Ishikawajima Harima Heavy Industry Shin'nakahara 1, Isogo-ku, Yokohama, 235 JAPAN; Hokkaido University, Japan

John R. Howell
Department of Mechanical Engineering, The University of Texas at Austin, Austin TX 78712, U.S.A.

Résumé

Standard analysis of radiative transfer in enclosures with participating media defines a geometry and a specified temperature or energy flux distribution on each surface. The temperature or temperature distribution in the participating medium within the enclosure may also be given. Unknown temperatures and fluxes are then computed. Here, an inverse design procedure is described for radiating enclosures containing an isothermal participating medium. In inverse design, both a temperature and heat flux distribution are given for one enclosure surface (the “design” surface), as would be the case for heat treating furnaces and applications where conditions are required on a particular surface to meet process needs. On one surface of the enclosure, no conditions are imposed; these are then determined from the conditions required on the design surface. The inverse problem requires solving a Fredholm equation of the first kind, which is notoriously ill-conditioned. Description and examples are given of one useful technique.

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