Statistical modelling of radiative transfer within non-Beerian effective phases of macroporous media

Taine, Jean; Enguehard, Franck

doi:10.1016/j.ijthermalsci.2019.01.012

Cited by 14 publications

(3 citation statements)

References 41 publications

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“…The above equation is exactly the same as of equation (10) except that the equation ( 23) is to be solved for solid voxels only. This leads to a seven diagonal sparse metrix which is then solved using Generalized Minimal Residual Method (GMRES) method developed in PARALUTION, an open source library [47].…”

Section: Computing Effective Thermal Conductivity Tensor Of Each Subv...mentioning

confidence: 99%

“…Certain high temperature applications where cellular porous materials are used include solar power power plants [2][3][4], heterogeneous combustion [5], thermal protection systems [6][7][8][9], etc. Note that, for porous samples having mean characteristic size of their constituents greater than a few microns or much greater than the size of thermal radiation can also be refereed as macroporous materials [10,11].…”

Section: Introductionmentioning

confidence: 99%

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A modified zonal method to solve coupled conduction-radiation physics within highly porous large scale digitized cellular porous materials

et al. 2023

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Due to their distinct textures, porous cellular materials have been of interest to many engineering applications. Energy conversion through such materials, especially at high temperatures, is governed by naturally coupled conduction-radiation physics. Therefore, a thorough understanding of the conduction-radiation behavior within these materials is important to properly design and optimize these materials. Several numerical methods developed over the last few decades allow to solve and study the influence of different textural parameters on coupled conductive-radiative heat transfers. These numerical methods require 3D digitized images of the sample of interest obtained either using 3D imagery technique or generated using numerical algorithms. To better represent the complex geometry, the 3D image of the sample requires high spatial resolution, and for a sample which is representative of involved physics might contain hundreds of millions of voxels which is complex to solve and computationally expensive.To cope with this issue, we developed a parallelized discrete scale numerical approach using cell centered Finite Volume Method (FVM) and deterministic ray tracing to solve coupled heat transfer within highly porous large scale complex cellular materials. At the heart of this method rests a decomposition approach based on modified zonal method which significantly reduces the coupling efforts, memory requirements, and computation time. The results of two test cases presented in this study are cross-verified with those presented in literature and computed using Star-CCM+ software. Finally, the method is applied to virtual fibrous sample. These results present the ability of the solver to consider different boundary conditions, large temperature gradient across boundaries, and dealing with large samples consisting hundreds of million of voxels while providing accurate results. We also present and discuss the sensitivity of other associated parameters on the final results.

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Section: Computing Effective Thermal Conductivity Tensor Of Each Subv...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A modified zonal method to solve coupled conduction-radiation physics within highly porous large scale digitized cellular porous materials

et al. 2023

View full text Add to dashboard Cite

show abstract

“…Taine et al [37] developed a new theory, i.e., the generalized RTE, for radiative heat transfer in non-Beerian media. This approach was further applied to strongly non-homogeneous porous media with application to a slab of packed particles [38] and non-Beerian effective phases of macroporous media [39]. Dayal et al [40] used view factors to analyze radiative heat transfer in granular medium at particle scale.…”

Section: Introductionmentioning

confidence: 99%

Continuum approach based on radiation distribution function for radiative heat transfer in densely packed particulate system

Liu

Zhao

2020

Journal of Quantitative Spectroscopy and Radiative Transfer

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Efficient conversion of solar energy through a macroporous ceramic receiver coupling heat transfer and thermochemical reactions

Lougou

et al. 2023

Energy

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Statistical modelling of radiative transfer within non-Beerian effective phases of macroporous media

Cited by 14 publications

References 41 publications

A modified zonal method to solve coupled conduction-radiation physics within highly porous large scale digitized cellular porous materials

A modified zonal method to solve coupled conduction-radiation physics within highly porous large scale digitized cellular porous materials

Continuum approach based on radiation distribution function for radiative heat transfer in densely packed particulate system

Efficient conversion of solar energy through a macroporous ceramic receiver coupling heat transfer and thermochemical reactions

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