An inverse radiation boundary design problem for an enclosure filled with an emitting, absorbing, and scattering media

Pourshaghaghy, A.; Pooladvand, Koohyar; Kowsary, Farshad; Karimi-Zand, K.

doi:10.1016/j.icheatmasstransfer.2005.12.007

Cited by 29 publications

(5 citation statements)

References 11 publications

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“…En la metodología inversa [61], ambas condiciones de frontera se aplican de forma explícita sobre la superficie de diseño, mientras las configuraciones del emisor son las variables desconocidas. Cuando el problema es planteado de esta forma, se convierte en un problema "mal planteado" (un problema "bien planteado", debe tener una solución que sea única y al mismo tiempo estable, bajo pequeños cambios en las condiciones de entrada [12]), por el cual no existe una solución analítica por medio de los métodos tradicionales, y por ende es necesaria la regularización [12], [13], [62].…”

Section: Método De Optimización E Inversounclassified

La radiación infrarroja como mecanismo de transferencia de calor de alta calidad en procesos de calentamiento

2012

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En este artículo se pretende abordar la radiación infrarroja como un mecanismo principal de transferencia de calor de alta calidad en diferentes procesos de calentamiento, resaltar la pertenencia y problemática en el uso, la caracterización y el diseño de las tecnologías propias accionadas por sistemas de combustión. Para esto, se resume su fenomenología, sus definiciones, suposicionesy soluciones; se abordan algunos métodos numéricos utilizados para la solución de la ecuación de transferencia de radiación (Radiative TransferEquation (RTE)) y el acoplamiento de éstos a los códigos CFD (ComputationalFluids Dynamics); como también los tipos de equipos radiantes utilizados con mayor frecuencia, en especial los tubo radiantes; al igual que ciertas metodologíasexperimentales usadas para caracterizar los sistemas radiantes, y algunas metodologías de diseño. Se encontró, que el modelo del flux y el de transferencias discretas son pertinentes para darle solución al fenómeno con ayuda de los códigos CFD, como también, que el elemento de medición principalmente utilizado en las mediciones experimentales es el radiómetro; y que la metodología de diseño más práctica puede ser la optimización.

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Section: Método De Optimización E Inversounclassified

La radiación infrarroja como mecanismo de transferencia de calor de alta calidad en procesos de calentamiento

2012

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“…When solving an inverse problem such as a heater design problem, in addition to solving the energy and radiative transfer equations, an efficient optimization algorithm is also required to minimize the objective function. Optimizations in the solution of an inverse problem can be achieved using the Levenberg-Marquardt method (LM) [7], the automatic differentiation method [7], the secant method [7], the conjugate gradient method (CGM) [8,9], and the genetic algorithm (GA) [10][11][12][13][14]. Except the GA, the above optimization methods adopt deterministic approaches that may or may not target solutions close to the global optimal domain.…”

Section: Introductionmentioning

confidence: 99%

“…Kim FVM for conduction and radiation in a two-dimensional cylindrical enclosure, as well as various optimization methods outlined above. Pourshaghaghy et al [8] studied inverse formulations in an irregular geometry considering only the radiative phenomena. Duan and Howell [9] applied a truncated singular value decomposition method to solve the system of equations.…”

Section: Introductionmentioning

confidence: 99%

“…Baek et al [15] applied the FVM combined with the Monte Carlo method for inverse formulations in an irregular geometry with a heat source term resembling a practical heater. From the literature survey [1,[7][8][9][10][11][12][13][14][15][16][17][18][19]15] on inverse problems involving the design of heaters that require analysis of combined conduction and radiation heat transfer, it has been found that not many details are available on the effects of various parameters such as the medium properties, temperature=heat flux of the design surface, and the distance between the heater and the design surfaces on the required heat flux=temperature of the heater surface. Therefore, this article aims at finding the effect of various parameters to be considered in the design of a heater for the 1-D planar system that involves inverse analysis of a conduction-radiation problem.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of Heat Fluxes on the Heater and the Design Surfaces of a Radiating-Conducting Medium

Moparthi

Das

Uppaluri

et al. 2009

Numerical Heat Transfer, Part A: Applications

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In a radiating-conducting planar medium with a boundary as the heater surface using an inverse analysis, this work deals with the design methodologies to understand the inherent relationship between heater surface temperature/flux, design surface temperature/flux, and medium properties. The heat flux on the heater surface is chosen as the fitness function. Subsequently, to achieve maximum and minimum design surface heat fluxes, an optimization was done to evaluate the zone of operation of the heater. In addition, the effect of medium properties on the temperature-flux relationships on both surfaces has been studied. The distance between the two surfaces is also considered a parameter. The medium properties, the distance between the surfaces, and the heater surface temperature have been found to have a great impact on the design surface heat flux. The inverse mixed boundary problem has been solved using the lattice Boltzmann method (LBM), the finite-volume method (FVM), and the genetic algorithm (GA). Results of the present study provide a guideline towards the efficient design of a heater in which conduction and radiation are the dominant modes of heat transfer.

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“…In [6], the design problem consisted in finding a space distribution of heat source, which would provide for the preassigned temperature and heat flux on the surface being heated; the quantized problem was solved by the conjugategradient method. The approach of both these studies does not fundamentally differ from the approach of [1].…”

Section: Introductionmentioning

confidence: 99%

Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer

Rukolaine

2008

High Temp

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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.

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An inverse radiation boundary design problem for an enclosure filled with an emitting, absorbing, and scattering media

Cited by 29 publications

References 11 publications

La radiación infrarroja como mecanismo de transferencia de calor de alta calidad en procesos de calentamiento

La radiación infrarroja como mecanismo de transferencia de calor de alta calidad en procesos de calentamiento

Optimization of Heat Fluxes on the Heater and the Design Surfaces of a Radiating-Conducting Medium

Regular solution of inverse optimal design problems for axisymmetric systems of radiative heat transfer

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