The Use of Inverse Methods for the Design and Control of Radiant Sources

Howell, John R.; Daun, Kyle J.; Ertürk, Hakan; Gamba, Mirko; Sarvari, Masoud Hosseini

doi:10.1299/jsmeb.46.470

Cited by 25 publications

(8 citation statements)

References 22 publications

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“…[27e29]. A constant regularization level is used through iterations to ensure stability and convergence as changing the regularization level might lead to convergence and stability problems in problems where successive regularized solutions are considered [28]. The RNGA used in this study is presented in Fig.…”

Section: Initial Guessmentioning

confidence: 99%

Evaluation of image reconstruction algorithms for non-destructive characterization of thermal interfaces

Ertürk¹

2011

International Journal of Thermal Sciences

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Section: Initial Guessmentioning

confidence: 99%

Evaluation of image reconstruction algorithms for non-destructive characterization of thermal interfaces

Ertürk¹

2011

International Journal of Thermal Sciences

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“…These kinds of problems are known as inverse problems. The inverse problems may be classified into two categories of "design" [1][2][3][4][5][6][7][8][9][10][11][12][13] and "identification" [14][15][16][17][18][19][20][21][22] problems. The inverse problems can be solved by the regularization (explicit) and optimization (implicit) methods.…”

Section: Introductionmentioning

confidence: 99%

Nongray inverse boundary design problems in enclosures at radiative equilibrium

Amiri

Lari

2019

Heat Trans. Asian Res.

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In this paper, an inverse analysis is used to find an appropriate heat flux distribution over the heater surface of radiant enclosures, filled with nongray media at radiative equilibrium from the knowledge of desired (prespecified) temperature and heat flux distributions over the given design surface. Regular and irregular 2D enclosures filled with nongray combustive gas products are considered. Radiation is considered the dominant mode of heat transfer and the medium temperature is obtained from the energy equation. To evaluate the nongray behavior of the participating gases properly, the spectral‐line weighted‐sum‐of‐gray‐gases (SLW) model with updated correlations is used. The dependence of absorption coefficients and the weights of the SLW model on the temperature of the medium makes the inverse problem nonlinear and difficult to handle. Here, the inverse problem is formulated as an optimization problem and the Levenberg‐Marquardt method has been used to solve it. The finite volume method is exploited for the discretization of the energy equation and the spatial discretization of the radiative transfer equation (RTE). The discrete ordinates method (TN quadrature) is used for the angular discretization of RTE. Five test cases, including homogeneous and inhomogeneous media, are investigated to prove the ability of the present methodology for achieving the desired conditions.

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“…The development of inverse models using heat equations is challenging. Radiation, which adds non-linearity to the system (Howell, et al, 2003), further complicates this problem. On the other hand, in optimisation-based methods, the heat flux is guessed as input to the direct model of the system.…”

Section: Introductionmentioning

confidence: 99%

An Artificial Intelligence Solution for Heat Flux Estimation Using Temperature History; A Two-Input/Two-Output Problem

Mirsepahi

Chen

O’Neill

2016

Chemical Engineering Communications

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The Use of Inverse Methods for the Design and Control of Radiant Sources

Cited by 25 publications

References 22 publications

Evaluation of image reconstruction algorithms for non-destructive characterization of thermal interfaces

Evaluation of image reconstruction algorithms for non-destructive characterization of thermal interfaces

Nongray inverse boundary design problems in enclosures at radiative equilibrium

An Artificial Intelligence Solution for Heat Flux Estimation Using Temperature History; A Two-Input/Two-Output Problem

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