An Inverse Boundary Design Problem in a Radiant Enclosure

This work presents an inverse radiative design problem in which the aim is to determine the distribution of heater strengths over the heater surface to produces a desired temperature and heat flux distributions over the design surface of a radiant oven. The walls are assumed to be diffuse-gray and the medium is considered to be transparent. The conjugate gradient method is used to minimize an objective function which is defined by the sum of square errors between estimated and desired heat fluxes over the design surface. The inverse estimation consists of three problems; the direct problem, the inverse problem and the sensitivity problem. The direct problem and the sensitivity problem are solved bythe net radiation method, and the configuration factors are calculated by the Hottel’s crossed-string method. Our investigation shows that the presented algorithm is able to estimate heater strengths accurately.

Keywords:

Radiation , Inverse boundary design , Conjugate Gradient Method (CGM)