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INVERSE DESIGN METHODS FOR RADIATIVE TRANSFER SYSTEMS

DOI: 10.1615/ICHMT.2004.RAD-4.30
16 pages

Kyle J. Daun
Department of Mechanical and Mechatronics Engineering, University of Waterloo 200 University Ave. W, Waterloo, ON, N2L 3G1, Canada

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

Abstract

Radiant enclosures used in industrial processes have traditionally been designed by trial-and-error, a technique that usually demands considerable time to find a solution of limited quality. As an alternative, designers have recently adopted optimization and inverse methodologies to solve design problems involving radiative transfer; the optimization methodology solves the inverse problem implicitly by transforming it into a multivariable minimization problem, while the inverse design methodology solves the problem explicitly using regularization. This paper presents the details of both methodologies, and demonstrates them by solving for the optimal heater settings in an industrially-relevant radiant enclosure design problem.

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