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. In DELFOUR, PAYRE and ZOLESIO (1981a), we have announced some results on the optimal design using the techniques of shape optimal design (cf. J.CEA (1976, 1978)), J.P. ZOLESIO (1981, 1979, 1973, 1977)). In this paper we also consider suboptimal designs (e.g. doublers) and compare them with the optimal one. A similar problem was studied by Ph.DESTUYNDER (1976). However the present design differs in the fact 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.

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