INVERSE BOUNDARY DESIGN OF RADIANT ENCLOSURES USING CONJUGATE GRADIENT METHOD

An inverse radiation analysis is presented for finding the heater setting that produces a desired heat flux and temperature distribution over a region of an enclosure surface, called the design surface. The inverse radiation problem is formulated as an optimization problem, and solved by the conjugate gradient method that minimizes the errors between the estimated and desired heat fluxes on the design surface. The analysis consists of the direct problem, the inverse problem, and the sensitivity problem. Radiation element method by ray emission model (REM2) was used to solve the direct and the sensitivity problems, which enable us to handle reflecting surfaces. The performance and ability of this methodology were demonstrated by finding the optimal heater setting of a three dimensional enclosure. The effects of refractory properties have been studied as well.

Keywords:

inverse , optimization , radiation , conjugate gradient , REM