inverse estimation of boundary conditions on radiant enclosures by temperature measurement on a solid object

in this paper, we present an inverse analysis to estimate the thermal boundary conditions over a two-dimensional radiant enclosure from the knowledge of the measured temperatures for some points on a solid object within the enclosure. the conduction heat transfer in the solid object and the radiative heat transfer between the surface elements of the enclosure are formulated by the finite volume method and the net radiative method, respectively. the resultant set of nonlinear equations is solved by the newton's method. the inverse problem for estimation of boundary conditions over the radiant enclosure is solved by the conjugate gradient method.