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Optimal parametrized design of thermal diffusers for communication satellites
Author(s) -
Delfour M. C.,
Payre G.,
Zolesio J.P.
Publication year - 1986
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660070206
Subject(s) - diffuser (optics) , optimal design , constraint (computer aided design) , flux (metallurgy) , power (physics) , a priori and a posteriori , connection (principal bundle) , thermal , boundary (topology) , computer science , heat flux , mathematical optimization , mathematics , geometry , mathematical analysis , physics , optics , mechanics , materials science , heat transfer , meteorology , thermodynamics , light source , philosophy , epistemology , machine learning , metallurgy
Abstract The object of this paper is to present recent developments in the design of mass‐optimized thermal diffusers with a priori specifications on the input power flux and a bound on the output power flux. This problem arises in connection with the use of high power solid state devices (HPSSD's) in future Canadian communication satellites. Delfour, Payre and Zolésio 1,2 have obtained results on the optimal design using the techniques of shape optimal design. 3‐8 In this paper, we also consider suboptimal designs (e.g. doublers) and compare them with the optimal one. A similar problem has been studied by Destuynder. 9 However, the present design differs in that we have a constraint on the normal derivative on a piece of the boundary surface instead of a constraint on the maximum temperature in the domain or body of the diffuser.