Results of computational and experimental determination of spectral optical parameters, i.e., the indices of scattering and absorption, of two types of silica-based fibrous heat insulation have been given. Materials fabricated from quartz and silica fibers have been considered. The optical parameters in the range of wavelengths 1–4.7 μm were determined by solution of the inverse problem from experimental data for the spectral coefficient of total reflection. The inverse problem was solved by minimization of the residual functional between the experimental and calculated spectra of reflection coefficients of the materials’ layers of several thicknesses. The spectra of the total-reflection coefficients were measured on a Fourier spectrometer with an integrating sphere in the range of wavelengths 1–18 μm. To calculate the spectral reflection coefficient, use was made of the invariant embedding method. By the spectral optical parameters, the authors have assessed the radiative thermal conductivity in the Rosseland approximation and the integral emissive power of material layers of different thicknesses in the range of temperature 20–1100°C. The calculated radiative thermal conductivity has been compared with the experimental data on the effective thermal conductivity measured by the method of a quasi-stationary thermal regime.
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References
J. R. Howell, M. P. Mengüç, and R. Siegel, Thermal Radiation Heat Transfer, CRC Press, Boca Raton (2010).
J.-F. Sacadura, Thermal radiative properties of complex media: Theoretical prediction versus experimental identification, Heat Transf. Eng., 32, No. 9, 754−770 (2011).
A. V. Kondratenko, S. S. Moiseev, V. A. Petrov, and S. V. Stepanov, Experimental determination of the optical properties of fibrous quartz insulation, Teplofiz. Vys. Temp., 29, No. 1, 134−138 (1991).
A. V. Zuev and P. V. Prosuntsov, Model of the structure of fibrous heat-insulating materials for analyzing combined heat transfer processes, J. Eng. Phys. Thermophys., 87, No. 6, 1374−1385 (2014).
S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics. Part II. Random Fields [in Russian], Nauka, Moscow (1978).
M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles, Cambridge University Press, New York (2006).
M. I. Mishchenko, Electromagnetic Scattering in Random Dispersive Media: Fundamental Theory and Applications, Candidate′s Dissertation in Physics and Mathematics, Kiev–New York (2007).
R. Viskanta and M. P. Mengüç, Radiative transfer in dispersed media, Appl. Mech. Rev., 42, No. 9, 241−259 (1989).
V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, Scattering of electromagnetic waves by ensembles of particles and discrete random media, J. Quant. Spectrosc. Radiat. Transf., 112, 2095−2127 (2011).
K. Boren and D. Hafmen, Light Absorption and Scattering by Small Particles [Russian translation], Mir. Moscow (1986).
T. Wriedt, A rewiev of elastic light scattering theories, Part. Part. Syst. Charact., 15, 67−74 (1998).
O. M. Alifanov and V. V. Cherepanov, Mathematical modeling of high-porosity fibrous materials and determination of their phyiscal properties, Teplofiz. Vys. Temp., 47, No. 3, 463−472 (2009).
H. T. T. Kamdem, Radiative characteristics of high-porosity media containing randomly oriented fibers in space, J. Thermal Sci. Eng. Appl., 9, No. 2, 021014 (2017).
L. A. Dombrovsky, Quartz-fiber thermal insulation: Infrared radiative properties and calculation of radiative-conductive heat transfer, J. Heat Transf., 118, No. 2, 408−414 (1996).
S. C. Lee, Scattering phase function of fi brous media, Int. J. Heat Mass Transf., 33, No. 10, 2183−2190 (1990).
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, No. 5, 3459−3474 (2016).
F. M. Kahnert, Numerical methods in electromagnetic scattering theory, J. Quant. Spectrosc. Radiat. Transf., 79–80, 775−824 (2003).
O. M. Alifanov and V. V. Cherepanov, Methods to Investigate and Predict the Properties of High-Porosity Thermal Protection Materials [in Russian], MAI, Moscow (2014).
L. A. Dombrovskii, Calculating the spectral radiative characteristics of quartz fibrous heat insulation in the infrared region, Teplofiz. Vys. Temp., 32, No. 2, 209−215 (1994).
O. M. Alifanov, S. A. Budnik, V. V. Mikhailov, and A. V. Nenarokomov, Experimental and computational system to investigate thermophysical properies of thermal materials, Teplov. Prots. Tekh., 1, No. 2, 49−60 (2009).
A. V. Luikov, Methods for Determining Thermal Conductivity and Thermal Diffusivity [in Russian], Énergiya, Moscow (1973).
R. A. Mironov, M. O. Zabezhailov, V. V. Cherepanov, and M. Yu. Rusin, Determination of optical parameters of parially transparent materials by invariant embedding method, Opt. Spectrosc., 123, No. 4, 650−657 (2017).
J. E. Hansen and L. D. Travis, Light scattering in planetary atmospheres, Space Sci. Rev., 16, 527−610 (1974).
M. Sato, K. Kawabata, and J. E. Hansen, A fast and accurate method for multiple scattering calculations and an application to equivalent width of CO2 lines on venus, Astrophys. J., 216, 947−962 (1977).
R. A. Mironov, M. O. Zabezhailov, M. Yu. Rusin, V. V. Cherepanov, and S. P. Borodai, Computational and experimental determination of the temperature dependence of spectral and integral coefficients of radiation of quartz ceramics of varying porosity, Teplofiz. Vys. Temp., 54, No. 5, 724−732 (2016).
E. B. Kryukova, V. G. Plotnichenko, and E. M. Dianov, IR absorption spectra in high-purity silica glasses fabricated by different technologies, Proc. SPIE, 4083, 71 (2000).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 6, pp. 1635–1644, November–December, 2021.
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Mironov, R.A., Gaidenko, V.O., Zabezhailov, M.O. et al. Radiative-Optical and Thermophysical Characteristics of Fibrous Silica-Based Heat Insulation. J Eng Phys Thermophy 94, 1600–1608 (2021). https://doi.org/10.1007/s10891-021-02441-3
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DOI: https://doi.org/10.1007/s10891-021-02441-3