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Some New Data on the Spectral-Kinetic Characteristics of High-Temperature Ultraporous Heterogeneous Composites

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Advances in Theory and Practice of Computational Mechanics

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 274))

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Abstract

Capabilities of an original combined statistical simulation and mathematical model that covers the structure and a number of physical properties of ultraporous fibrous and reticulated high-temperature materials are demonstrated. The structure of the local electromagnetic transmission, absorption and scattering spectra of a number of available and hypothetical materials is investigated. In some reticulated materials, the order-of-magnitude catastrophe in the absorption spectrum is observed. Such catastrophe means a sharp large (by several orders of the magnitude) broadband variation of the spectral absorption coefficient unrelated to the resonance phenomena in absorption but caused by the variation of the specific electrical resistance of the skeleton material. A fairly wide resonance region in the transmission spectrum of fibrous material with properties close to that of the amorphous quartz is detected. A parameter has been identified affecting the location of this region. For the phase scattering function (indicatrix) of the representative elementary volumes of the model of such a material, an approximation based on the known distributions that take into account the fine structure inherent in the indicatrix is obtained. It is shown that the phase scattering function of the material is not reduced as a whole to the known distributions. For this indicatrix, distributions of a new type that extend the class of model indicatrices are proposed.

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Abbreviations

a :

Material anisotropy indicator

D :

Spectral-transport coefficients of radiation diffusion

d :

Diameter

g :

Henyey-Greenstein distribution parameter

k ρ e :

Multiplier of electrical resistivity

l :

Length of a fiber (strut) fragment in a volume element, mean free path of photons

L :

Size of a volume element along a coordinate direction

M:

Mean value, mathematical expectation

N V :

Amount of a statistical sampling of representative elements

n :

Refractive index

P :

Probability

p :

Phase scattering function

R :

Radius

dV :

Amount of volume element

α, β :

Volumetric absorption and scattering coefficients

Δλ:

Scan step

ε :

Dielectric constant

θ,µ = cos θ:

Polar angle, angle of scattering and its cos

λ :

Wavelength

ρ :

Effective mass density, electrical resistivity

σ:

Standard deviation

φ :

Azimuth

ψ :

Density of probability

b :

Ball (knot), back

d :

Diameter

e:

Electrical

f :

Forward

HG:

Henyey-Greenstein distribution

i :

Incidence

l :

Length

t :

Type

V :

Representative element volum

x, y, z :

Coordinat directions

λ :

Spectral

\(\left\langle \ldots \right\rangle\) :

Averaging

int:

Integer part

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Acknowledgements

The work was supported by the Russian Foundation for Basic Research, grant no. 20-08-00465.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe Shosse, Moscow, 125993, Russian Federation

    Valery V. Cherepanov & Oleg M. Alifanov

Authors
  1. Valery V. Cherepanov
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  2. Oleg M. Alifanov
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Correspondence to Valery V. Cherepanov .

Editor information

Editors and Affiliations

  1. Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  2. Institute of Computer Aided Design of the Russian Academy of Sciences, Moscow, Russia

    Ilia S. Nikitin

  3. Moscow Aviation Institute (National Research University), Moscow, Russia

    Natalia S. Severina

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Cherepanov, V.V., Alifanov, O.M. (2022). Some New Data on the Spectral-Kinetic Characteristics of High-Temperature Ultraporous Heterogeneous Composites. In: Favorskaya, M.N., Nikitin, I.S., Severina, N.S. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 274. Springer, Singapore. https://doi.org/10.1007/978-981-16-8926-0_17

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