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Teplofizika vysokikh temperatur, 2008, Volume 46, Issue 1, Pages 126–134
(Mi tvt1009)
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This article is cited in 5 scientific papers (total in 5 papers)
Heat and Mass Transfer and Physical Gasdynamics
Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer
S. A. Rukolaine Ioffe Physico-Technical Institute, Russian Academy of Sciences, St. Petersburg
Abstract:
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.
Received: 04.07.2006
Citation:
S. A. Rukolaine, “Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer”, TVT, 46:1 (2008), 126–134; High Temperature, 46:1 (2008), 115–123
Linking options:
https://www.mathnet.ru/eng/tvt1009 https://www.mathnet.ru/eng/tvt/v46/i1/p126
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Abstract page: | 157 | Full-text PDF : | 73 |
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