Inverse Radiation Heat Transfer Within Enclosures With Nonisothermal Participating Media

França, Francis; Morales, Juan Carlos; Oguma, Masahito; Howell, John R.

doi:10.1615/ihtc11.4500

Cited by 11 publications

(11 citation statements)

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“…(7), we need to calculate the components of the sensitivity matrix, J nm , defined by Eq. (12). The sensitivity problem is obtained by differentiating the direct problem given by the set of Eqs.…”

Section: Sensitivity Problemmentioning

confidence: 99%

“…Inverse design problems are classified as inverse boundary, inverse heat source, and shape determination problems. In the first type of the problem, the objective is to find a set of heaters over some part of the boundary, namely the heater surface in such a way that the desired temperature and heat flux distributions are recovered over the design surface [7][8][9][10][11][12][13][14][15][16][17][18][19]. A boundary control problem for finding the temperature distribution over the design surface to reconstruct the desired temperature distribution inside the cavity has been presented in [20].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Inverse boundary design of square enclosures with natural convection

Payan

Sarvari

Ajam

2009

International Journal of Thermal Sciences

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Section: Sensitivity Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Inverse boundary design of square enclosures with natural convection

Payan

Sarvari

Ajam

2009

International Journal of Thermal Sciences

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“…The authors observed that the resulting set of equations for the inverse problem is ill‐conditioned, and thus the need to resort to the Modified Truncated SVD [25] (MTSVD) matrix inversion method to compute Le i . Working with the same approach (linearizing the system to solve it and MTSVD or TSVD to invert it due to its ill‐conditioning), França et al [15] and Morales et al [38] solved the inverse problem of source emissivities, this time in the presence of participating media. In the latter two cases, the problem requires the introduction of a system of equations resulting from the discretization of the medium into volume elements in order to solve the corresponding partial differential equations (PDE).…”

Section: Inverse Lighting Problems (Ilp)mentioning

confidence: 99%

A Survey of Inverse Rendering Problems

Patow

Pueyo

2003

Computer Graphics Forum

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Inverse rendering problems usually represent extremely complex and costly processes, but their importance in many research areas is well known. In particular, they are of extreme importance in lighting engineering, where potentially costly mistakes usually make it unfeasible to test design decisions on a model. In this survey we present the main ideas behind these kinds of problems, characterize them, and summarize work developed in the area, revealing problems that remain unsolved and possible areas of further research. ACM CSS: I.3.6 Computer Graphics Methodology and Techniques I.3.7 Computer Graphics—Three‐Dimensional Graphics and Realism I.4.1 Image Processing and Computer Vision Digitization and Image Capture I.4.7 Image Processing and Computer Vision Feature Measurement I.4.8 Image Processing and Computer Vision Scene Analysis

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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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Inverse Radiation Heat Transfer Within Enclosures With Nonisothermal Participating Media

Cited by 11 publications

References 0 publications

Inverse boundary design of square enclosures with natural convection

Inverse boundary design of square enclosures with natural convection

A Survey of Inverse Rendering Problems

Nongray inverse boundary design problems in enclosures at radiative equilibrium

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