Certain capabilities of the original combined statistical simulation mathematical model covering the structure and physical properties of fibrous and reticulated high-temperature materials have been shown. An important element of the model is a "virtual scanner" developed earlier, i.e., a software tool making it possible to investigate the pattern of interaction between electromagnetic radiation and orthogonal representative elements of materials. Free parameters have been described and tests of both the spectral part of the model based on the Mie theory and the joint model, which confirm their adequacy, have been presented. The behavior of local spectra of transmission, absorption, and scattering of electromagnetic radiation of a number of the existing and hypothetical materials has been studied. In certain reticulated materials, the authors recorded an "order catastrophe" in the absorption spectrum: an abrupt and strong, of several orders of magnitude, change in the spectral absorption coefficients, that is not associated with resonance phenomena in absorption. The presence of a fairly wide resonance region was recorded in the transmission spectrum of an amorphous-quartz-based fibrous material and the parameter affecting the location of this region was found.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. S. R. Reddy (Ed.), Advances in Nanocomposites — Synthesis, Characterization and Industrial Applications, Rijeka, Croatia (2011). ISBN: 978-953-307-165-7.
S. A. Meguid (Ed.), Advances in Nanocomposites: Modeling, Characterization and Applications, Springer International Publishing, Switzerland (2016); https://doi.org/10.1007/978-3-319-31662-8.
E. Placido, M. C. Arduini-Schuster, and J. Kuhn, Thermal properties predictive model for insulating foams, Infrared Phys. Technol., 46, No. 3, 219−231 (2005).
J. Petrasch, P. Wyss, and A. Steinfeld, Tomography-based Monte Carlo determination of radiative properties of reticulate porous ceramics, J. Quant. Spectrosc. Radiat. Transf., 105, 180−197 (2007).
O. M. Alifanov, S. A. Budnik, V. V. Mikhaylov, A. V. Nenarokomov, D. M. Titov, and V. M. Yudin, An experimental-computational system for materials thermal properties determination and its application for spacecraft structures testing, Acta Astronautica, 61, Nos. 1−6, 341−351 (2007); https://doi.org/10.1016/j.actaastro.2007.01.035.
A. Öchsner, G. E. Murch, and M. J. S. de Lemos (Eds.), Cellular and Porous Materials: Thermal Properties Simulation and Prediction, Wiley-VCH, Weinheim (2008); https://doi.org/10.1002/9783527621408.
R. Coquard, D. Rochais, and D. Baillis, Experimental investigation of the coupled conductive and radiative heat transfer in metallic/ceramic foams, Int. J. Heat Mass Transf., 52, Nos. 21−22, 4907−4918 (2009).
O. M. Alifanov and V. V. Cherepanov, Mathematical simulation of high-porosity fibrous materials and determination of their physical properties, High Temp., 47, No. 3, 438–447 (2009); https://doi.org/10.1134/S0018151X09030183.
J.-F. Sacadura, Thermal radiative properties of complex media: theoretical prediction versus experimental identification, Heat Transf. Eng., 32, 754–770 (2011).
D. Rochais, R. Coquard, and D. Baillis, Microscopic thermal diffusivity measurements of ceramic and metallic foams lumps in temperature, Int. J. Therm. Sci., 98, 179−187 (2015); https://doi.org/10.1016/j.ijthermalsci.2015.01.027.
O. M. Alifanov, V. V. Cherepanov, and A. V. Morzhukhina, Complex study of the physical properties of reticulated vitreous carbon, J. Eng. Phys. Thermophys., 88, No. 1, 134−144 (2015); https://doi.org/10.1007/s10891-015-1175-9.
V. V. Cherepanov, O. M. Alifanov, A. V. Morzhukhina, and A. V. Cherepanov, Interaction of radiation with orthogonal representative elements of highly porous materials, Appl. Math. Model., 40, Nos. 1−2, 3459−3474 (2016); https://doi.org/10.1016/j.apm.2015.03.040.
R. A. Mironov, M. O. Zabezhailov, M. Yu. Rusin, and V. V. Cherepanov, Calculation of the optical properties of quartz ceramics based on data on its structure, High Temp., 56, No. 1, 44−51 (2018); https://doi.org/10.1134/S0018151X1706013X.
R. A. Mironov, M. O. Zabezhailov, V. V. Cherepanov, and M. Yu. Rusin, Transient-radiative-conductive heat transfer modeling in constructional semitransparent silica ceramics, Int. J. Heat Mass Transf., 127, 1230−1238 (2018); https://doi.org/10.1016/j.ijheatma2018.08.052.
M. F. Modest, Radiative Heat Transfer, third ed., Academic Press, Elsevier Science, New York (2016); https://doi.org/10.1016/B978-0-12-386944-9.50028-5.
J. R. Howell, M. P. Mengüç, and R. Siegel, Thermal Radiation Heat Transfer, sixth ed., Taylor & Francis Group, LLC, Boca Raton (2016).
S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, second ed., Cambridge University Press, Cambridge (1952).
J. D. Jackson, Classical Electrodynamics, Wiley, New York (1962).
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York (1998).
O. M. Alifanov, Inverse Heat Transfer Problems, Springer, Berlin, New York (1994); https://doi.org/10.1007/978-3-642-76436-3.
S. M. Ermakov, Die Monte Carlo Methode und verwandte Fragen, Oldenbourg Verlag, Munich–Vienna (1975).
D. P. Kroese, T. Taimre, and Z. I. Botev, Handbook of Monte Carlo Methods, Wiley, Hoboken, New Jersey (2011). ISBN: 978-0-470-17793-8.
K. N. Liou, An Introduction to Atmospheric Radiation, second ed., Elsevier — Academic Press, New York, London (2002). ISBN: 0-12-451451-0.
A. C. Lind and J. M. Greenberg, Electromagnetic Scattering by obliquely oriented cylinders, J. Appl. Phys., 37, 3195−3203 (1966); https://doi.org/10.1063/1.1703184.
D. Banner, S. Klarsfeld., and C. Langlais, Temperature dependence of the optical characteristics of semitransparent porous media, High Temp.–High Press., 21, 347−354 (1989); http://www.oldcitypublishing.com/journals/hthpelectronic-archive-home/hthp-electronic-archive-issue-contents/.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 3, pp. 566–577, May–June, 2021.
Rights and permissions
About this article
Cite this article
Cherepanov, V.V., Alifanov, O.M. On the Potential of the Mie Theory and the Simulation Approach in Investigating Spectral-Kinetic Coefficients of Ultraporous Thermal Protective Materials. J Eng Phys Thermophy 94, 548–558 (2021). https://doi.org/10.1007/s10891-021-02328-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-021-02328-3