Radiative transfer through a medium of silica fibres oriented in parallel planes

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

“…The dependence of the spectral radiation intensity on time is then implicit through the temperature. The transient evolution of the temperature field is described by the energy equation given by relation (6). Hence, for a given temperature field and at a given time, the solution of RTE in the transient-state is the same as in the steady-state.…”

“…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.…”

“…Accordingly, the full set of radiative properties must be evaluated: the spectral absorption, scattering coefficients κ λ , σ sλ and the spectral phase function Φ λ . They are determined from the Mie theory [5][6][7].…”

Thermal Radiative Properties of Complex Media: Theoretical Prediction Versus Experimental Identification

“…For polydispersed particles the single-particle solution is averaged over the distribution of particle size, and in the case of fibrous media it should also be averaged over the particle angular distribution. Important contributions to such fiber properties calculations are found in papers by Lee and coworkers [47][48][49][50] and Jeandel and co-workers [51][52][53], among others. Thanks to its successive developments, Mie's theory remains a most frequently used tool for particulate media property calculation.…”

“…Several papers by Lee and Cunnington [49,50] and Jeandel and co-workers [51][52][53] provide a good background on the subject. In such situations the experimental identification of radiative properties should be rather considered as a validation means for the theoretical models established on the basis of an independent scattering assumption.…”