Model of radiative transfer in fibrous media—matrix method

Boulet, Pascal; Jeandel, G.; Morlot, G.

doi:10.1016/0017-9310(93)90113-k

Cited by 38 publications

(26 citation statements)

References 9 publications

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“…The studied medium is nonhomogenous and anisotropic: it is made of air and silica fibres randomly oriented in planes parallel to the boundaries. The Lorentz-Mie theory [5][6][7] makes it possible to determine the radiative properties of the homogeneous medium equivalent to the real medium. For the independent diffusion, one considers that the radiative properties of the medium are obtained from the radiative properties of each fibre (Fig.…”

Section: Physical Model and Mathematical Formulationmentioning

confidence: 99%

“…Previous studies about heat transfer through fibrous media [3,5] have shown that radiative heat transfer might constitute half of the total heat transfer, for a medium with a temperature ranging between 300 and 400 K. Moreover, transmission and reflection measurements in such media exhibit non-isotropic scattering properties. Steady state heat transfer by combined [3][4][5][22][23][24][25]. In the present work, we propose to extend this study by considering the transient state.…”

Section: Introductionmentioning

confidence: 99%

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Transient combined radiation and conduction heat transfer in fibrous media with temperature and flux boundary conditions

Asllanaj

Jeandel

Roche

et al. 2004

International Journal of Thermal Sciences

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Section: Physical Model and Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transient combined radiation and conduction heat transfer in fibrous media with temperature and flux boundary conditions

Asllanaj

Jeandel

Roche

et al. 2004

International Journal of Thermal Sciences

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“…Previous studies 8,17 about heat transfer in fibrous material have shown that radiative heat transfer might constitute a non-negligible part of the total heat. The radiative source term S r included in the eq.…”

Section: Governing Equationsmentioning

confidence: 99%

Nonwoven as heat barrier: Modeling of the efficiency of Carbtex fibers

Bourbigot

Duquesne

Vannier

et al. 2008

J of Applied Polymer Sci

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In this work, we examine the use of nonwoven (NW) as heat barrier to protect a metallic substrate. Carbtex fibers consisting in a thermoplastic core inside an oxidized outer shell (polyacrylonitrile or PAN fibers) are selected to make the NW. Measuring temperature profiles in a heat radiator test; it is revealed that Carbtex NW is an efficient heat barrier. A macroscopic model is then developed to simulate heat transfer in NW (considered as a porous medium) used as a protective heat barrier on aluminum plate. The model is validated comparing experimental results obtained by the heat radiator test and predicted values. The efficiency of NW layer is simulated varying different parameters characteristic of the NW (porosity and heat conductivity) and of the design (thickness of the layer). It is revealed to get good efficiency of the NW heat barrier that heat conductivity of the fibers is crucial to get superior performance as well as high porosity (higher than 0.5) associated with a reasonable thickness of NW (5-7 mm).

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“…As an example, this approach was used by Haussener et al [7] for the determination of the macroscopic properties of different types of snow, a dispersed ice medium semitransparent in the visible wavelength range. In this previous study, a direct comparison between multi-RTE approaches and single-RTE approaches had been conducted, indicating that [19][20][21][22][23][24][25] , they are interesting materials for other applications such as combustion support in burners [26] , solar fuel production [27] , and thermal protection systems [28,29] among others. Earlier investigations of radiative transfer in fibrous media focused mainly on infinitely long fibers with sizes comparable or smaller than the radiation wavelengths (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Earlier investigations of radiative transfer in fibrous media focused mainly on infinitely long fibers with sizes comparable or smaller than the radiation wavelengths (e.g. [19][20][21][22][23][24][25] ) while few studies focused on radiative characteristics of optically large fibers [29][30][31][32][33] . Recent works of Dauvois et al [33] focused on the implementation of the multiple intensities approach in order to study radiative transfer in a felt of fibers applied as insulation in high-temperature systems.…”

Section: Introductionmentioning

confidence: 99%

Radiative characterization of random fibrous media with long cylindrical fibers: Comparison of single- and multi-RTE approaches

Randrianalisoa

Haussener

Baillis

et al. 2017

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tRadiative heat transfer is analyzed in participating media consisting of long cylindrical fibers with a diameter in the limit of geometrical optics. The absorption and scattering coefficients and the scattering phase function of the medium are determined based on the discrete-level medium geometry and optical properties of individual fibers. The fibers are assumed to be randomly oriented and positioned inside the medium. Two approaches are employed: a volume-averaged two-intensity approach referred to as multi-RTE approach and a homogenized single-intensity approach referred to as the single-RTE approach . Both approaches require effective properties, determined using direct Monte Carlo ray tracing techniques. The macroscopic radiative transfer equations (for single intensity or two volume-averaged intensities) with the corresponding effective properties are solved using Monte Carlo techniques and allow for the determination of the radiative flux distribution as well as overall transmittance and reflectance of the medium. The results are compared against predictions by the direct Monte Carlo simulation on the exact morphology. The effects of fiber volume fraction and optical properties on the effective radiative properties and the overall slab radiative characteristics are investigated. The single-RTE approach gives accurate predictions for high porosity fibrous media (porosity about 95%). The multi-RTE approach is recommended for isotropic fibrous media with porosity in the range of 79 −95%.

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Model of radiative transfer in fibrous media—matrix method

Cited by 38 publications

References 9 publications

Transient combined radiation and conduction heat transfer in fibrous media with temperature and flux boundary conditions

Transient combined radiation and conduction heat transfer in fibrous media with temperature and flux boundary conditions

Nonwoven as heat barrier: Modeling of the efficiency of Carbtex fibers

Radiative characterization of random fibrous media with long cylindrical fibers: Comparison of single- and multi-RTE approaches

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