Statistical radiative modeling of a porous medium with semi transparent and transparent phases: Application to a felt of overlapping fibres - CentraleSupélec Access content directly
Journal Articles International Journal of Heat and Mass Transfer Year : 2017

Statistical radiative modeling of a porous medium with semi transparent and transparent phases: Application to a felt of overlapping fibres

Abstract

A general statistical model of characterisation of the radiative properties of ho-mogenised phases has been developed for a porous medium with a semi transparent absorbing phase a and a transparent one b, characterised by general interfacial reflection and transmission laws. For non Beerian homogenised phases, it is based on successive sets of radiative statistical functions: Extinction cumulative distribution functions, scattering cumulative probabilities and general phase functions ab initio determined by a Monte Carlo approach, only from morphological data and interfacial reflection and transmission laws in the last case. Specific sets are associated with isotropic and uniform volume emission by a and with the successive internal and external scattering events within a and b, the emission or scattering source terms of which have been weighted by spatial distribution functions. For a Beerian ho-mogenised phase, a unique set of radiative statistical functions has been determined from random isotropic volume source points. Two Generalised Radiative Transfer Equations (GRTEs), coupled by external scattering source terms are then expressed only vs the radiative statistical functions. It is shown that a radiative Fourier's model, based on radiative conductivity tensors, is not valid for a medium made of a semi transparent phase and a transparent one, if the particular case for which the semi transparent phase becomes opaque and the trivial case of a quasi isothermal medium are excepted.
Fichier principal
Vignette du fichier
Article Dauvois et al IJHMT 2017.pdf (1.67 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01513610 , version 1 (25-04-2017)

Identifiers

Cite

Yann Dauvois, Denis Rochais, Franck Enguehard, Jean Taine. Statistical radiative modeling of a porous medium with semi transparent and transparent phases: Application to a felt of overlapping fibres. International Journal of Heat and Mass Transfer, 2017, 106, pp.601-618. ⟨10.1016/j.ijheatmasstransfer.2016.09.035⟩. ⟨hal-01513610⟩
163 View
271 Download

Altmetric

Share

Gmail Facebook X LinkedIn More