3D numerical modelling of the propagation of radiative intensity through a X-ray tomographied ligament

Hardy, D. Le; Badri, M.A.; Rousseau, Benoı̂t; Chupin, Sylvain; Rochais, Denis; Favennec, Yann

doi:10.1016/j.jqsrt.2017.03.006

Cited by 31 publications

(7 citation statements)

References 51 publications

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“…Opaque materials allow for implementing such coupling conditions as all radiation received by the borders of an opaque medium travels negligible distances within the volume before being absorbed. This certainly is the case for SiC ligaments (microstructures), the material considered in this article, as shown in [25].…”

Section: Model Of Coupled Conduction and Radiationmentioning

confidence: 75%

“…Overall, the coupled finite element model requires the solution of a problem with N d + 1 fields. A high value of N d is needed if the geometry is complex and if the RTE is to be solved with high accuracy [25]. In this study, we have used…”

Section: Finite Elements Modelmentioning

confidence: 99%

“…Supporting this statement, for standalone radiation physics, in [24] it was shown that the use of realistic tomographic representations for the open-cell porous materials yields results closer to the experimental measurements. It was also recently underlined in [25,26] that the real microstructure ligament geometries influence at large the radiative physics for the open-cell porous materials. Also, theoretical developments based on upscaling approaches for coupled heat transfer [27], emphasize on the precise prediction of local-scale energy transport which is possible by using discrete-scale approach.…”

Section: Introductionmentioning

confidence: 99%

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Conductive-radiative heat transfer within SiC-based cellular ceramics at high-temperatures: A discrete-scale finite element analysis

Badri

Favennec

Jolivet

et al. 2020

Finite Elements in Analysis and Design

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Cellular ceramic materials possess many favorable properties that allow to develop efficient modern-day hightemperature thermal energy conversion systems and processes. The energy conversion within these porous media is governed by tightly coupled conduction-radiation physics. To efficiently design and optimize these systems, a comprehensive understanding of the conduction-radiation behavior within these materials becomes important. In this study, by performing large-scale numerical experiments, we analyze the conduction-radiation coupling characteristics within different (with respect to topology and porosity) SiC-based open-cell cellular ceramics surrounded by fictitious vacuum up to temperatures of 1800 K. To induct minimal approximations, our finite element simulations are based on a discrete-scale approach within which realistic discrete (porelevel) representations of the cellular ceramics are used as numerical media. The results presented in this study provide means to better understand the role of radiation in the coupled conduction-radiation physics within the ceramic samples. A detailed comparison on effectiveness of energy conversion is established for SiC-based full-scale cubic-cell, Kelvin-cell, and pseudo-random-cell ceramic structures which are at 80 % and 90 % porosity each. In conclusion, among the different standalone and full-scale ceramic samples, the Kelvin-cell structures at 90% porosity have proven to benefit the most from radiation coupling.

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Section: Model Of Coupled Conduction and Radiationmentioning

confidence: 75%

Section: Finite Elements Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Conductive-radiative heat transfer within SiC-based cellular ceramics at high-temperatures: A discrete-scale finite element analysis

Badri

Favennec

Jolivet

et al. 2020

Finite Elements in Analysis and Design

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“…Consider the example of the numerical simulations performed with the DOM-FEM in [8]. Within the article the primary test case is of a collimated laser beam was impinging a strut of an open-cell foam.…”

Section: Introductionmentioning

confidence: 99%

“…One of the main contribution of this paper was the implementation of the specular reflection for complex spatial geometries. As an extension of this work, [8] applied such developments on a highly complex geometry given by a x-ray tomography data of a silicon-carbide ligament of an open-cell foam. It was shown that a large number of angular directions had to be used in order to get an accurate solution.…”

Section: Introductionmentioning

confidence: 99%

Ad hoc angular discretization of the radiative transfer equation

Favennec

Mathew

Badri

et al. 2019

Journal of Quantitative Spectroscopy and Radiative Transfer

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Solving the radiative transfer equation with the finite element method requires both angular and spatial discretizations. We develop a novel algorithm of angular mesh discretization based on a posteriori calculations. The obtained angular discretizations are optimized in such a way that they suit the particular physics under consideration. Such ad hoc angular discretizations are implemented for increasing the finite element solution efficiency. Using comparative numerical tests based on the solution accuracy, the solutions provided by the obtained ad hoc discretizations are proven to be better than the ones provided by the standard uniform angular discretizations. The algorithm is drafted in such a way that it could be easily implemented using pre-existing open-source mathematical libraries.

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Spectral radiative properties of micro-scaled structure inner alumina ligament in open cell foam

Yang,

Wu,

et al. 2024

Opt Quant Electron

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3D numerical modelling of the propagation of radiative intensity through a X-ray tomographied ligament

Cited by 31 publications

References 51 publications

Conductive-radiative heat transfer within SiC-based cellular ceramics at high-temperatures: A discrete-scale finite element analysis

Conductive-radiative heat transfer within SiC-based cellular ceramics at high-temperatures: A discrete-scale finite element analysis

Ad hoc angular discretization of the radiative transfer equation

Spectral radiative properties of micro-scaled structure inner alumina ligament in open cell foam

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