Inverse design of a radiative enclosure with filaments heaters
Larissa Domingues Lemos1; Rogério Brittes1; Francis Henrique Ramos França1
1 Federal University of Rio Grande do Sul
doi:10.20906/CPS/COB-2015-0764
Resumo
In the design of an oven, it may be desired to obtain the positions for the heaters that result in a uniform heating of the design surface. The heat flux and the temperature are prescribed in the design surface and the heating elements are positioned in a single filament so as to satisfy prescribed conditions. The oven is modeled as a three-dimensional cavity filled with transparent medium. Due to the symmetry of the problem, it is possible solve only one quarter of the cavity. It is assumed that the walls are gray and diffuse, and that the dominant heat transfer mechanism is the thermal radiation. This problem is conventionally solved through a trial and error procedure. In this study, the solution is obtained by inverse analysis. The inverse problem is solved implicitly, as an optimization problem. The solution is obtained by the method of generalized optimization extreme (GEO), a stochastic global optimization method used to find the locations for the heaters respecting the condition of building a filament with unconstrained shape. The methodology leads to satisfactory results, with maximum error less than 2% and only two filaments heaters for entire cavity. Moreover, the use of filament is much more practical to install and operate than the use of punctual heaters, proposed in other studies, which is the main contribution of the present research.
Palavras-chave: inverse analysis; radiative enclosure; filament heater; generalized extreme optimization