Article

Heat and Mass Transfer and Physical Gasdynamics
2008. V. 46. № 1. P. 115–123
Rukolaine S.A.
Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer
Annotation
Inverse optimal design problems are considered for axisymmetric systems of heat transfer with only radiative heat transfer. In these problems, the geometry of thermal system is preassigned, and it is required to find the optimal distribution of temperature on the heater surface, which provides for the preassigned distribution of radiative heat flux (at a given temperature) on the surface being heated. Variational methods of regularization are employed for solving these problems, namely, Tikhonov's regularization method and parametric regularization. Minimization problems are solved numerically by gradient methods. The conjugate problem method is used for calculating the gradient of discrepancy functional. Examples of solution of model problems are given.
Article reference:
Rukolaine S.A. Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer, High Temp., 2008. V. 46. № 1. P. 115