A model of the structure of a highly porous fibrous material is suggested within the framework of which deformation of a setting semifinished item is considered. An algorithm is suggested for calculating the effective thermal conductivity and its components. It accounts for heat transfer through a solid phase and a gas, as well as by radiation. The Mie theory is used to estimate the radiative heat transfer, which led to a somewhat underestimated result in determining the effective thermal conductivity. To refine the contribution of radiative heat transfer, it is suggested to determine the optical properties of materials by solving the inverse problem of radiation transfer, the initial data for which are furnished by experimentally measured values of the coefficients of radiation transmission through a set of samples of different thickness. As a result, the radiation absorption and diffusion coefficients of a fibrous heat-insulating material have been determined. The dependence of the effective thermal conductivity of a material on temperature has been obtained, which actually coincides with the results of experimental investigations.
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S. V. Reznik, P. V. Prosuntsov, and A. V. Zuev, Features of inverse methods for determination of heat transfer in porous materials at high heating velocity, in: Proc. 2nd Int. Symp. on Inverse Problems, Design and Optimization, Miami (Florida, USA) (2007), pp. 493–500.
G. N. Dul’nev and Yu. P. Zarichnyak, Thermal Conductivity of Mixtures and Composite Materials [in Russian], Énergiya, Leningrad (1974).
S. M. Kats, High-Temperature Heat-Insulating Materials [in Russian], Metallurgiya, Moscow (1981).
E. Ya. Litovskii, S. L. Bondarenko, Yu. A. Polonskii, and N. I. Ganichev, Concerning the effect of the fiber diameter on the effective thermal conductivity of fireproof heat insulation, Teplofiz. Vys. Temp., 17, No. 5, 997–1000 (1979).
O. M. Alifanov and N. A. Bojkov, Les Methodes des Previsions in Formatiquers des Materaux Composities de Haute Porosite et de l'Analise des Systems de la Protection Thermique a Leur Basc, in: Proc. Conf. on Spacecraft Structures, Materials and Mechanical Testing, 27–29 March, 1996, Noordwijk, the Netherlands (1996). ESA SP–386, June, 1996. P. 73.
O. M. Alifanov and V. V. Cherepanov, Mathematical simulation of highly porous fibrous materials and determination of their physical properties, Teplofiz. Vys. Temp., 47, No. 3, 463–472 (2009).
O. M. Alifanov, S. A. Budnik, A. V. Nenarokomov, and V. V. Cherepanov, Experimental and theoretical investigation of the process of heat transfer in highly porous materials, Tepl. Prots. Tekh., 3, No. 2, 53–65 (2011).
V. I. Bol’shakov and N. V. Shpirko, Improvement of fibrous heat-insulating materials, Vestn. Pridneprovsk. Gos. Akad. Stroit. Arkhitekt., No. 3, 5-8 (2009).
V. N. Gribkov, G. T. Mizyurina, B. V. Shchetanov, and V. V. Lyapin, The possibilities of the fibrous heat shielding, in: Proc. 1st Int. Aviacosm. Conf. "Man–Earth–Space," Moscow, 1992, Vol. 5, Moscow (1995), pp. 223–231.
M. P. Volarovich, N. B. Demkin, and I. I. Berkovich, Experimental Investigation of Friction and Compaction of Fibrous Materials. Problems of Physicochemical Mechanics of Fibrous and Porous Disperse Structures and Materials [in Russian], Zinatne, Riga (1967).
G. M. Zhdanovich, Some Problems of the Theory of the Metal Powder Pressing Process [in Russian], Izd. Belorus. Politekh. Inst., Minsk (1960).
V. N. Bykov, Experimental investigation of the effective thermal conductivity of insulation in compressed gases, Teplofiz. Vys. Temp., 10, No. 4, 788–794 (1972).
P. J. Burns and C. L. Tien, Natural convection in porous media bounded concentric spheres and horizontal cylinders, Int. J. Heat Mass Transf., 22, 929–939 (1979).
Doon and Dyan′, Radiation heat transfer in fibrous insulations. Pt. 1. Analytical investigation, in: Proc. ASME, Heat Transf., 105, No. 1, 73–80 (1983).
V. V. Bolotin and V. N. Moskalenko, Macroscopic coefficients of heat conduction and diffusion in microinhomogeneous solid bodies, Prikl. Mekh. Tekh. Fiz., No. 6, 7–13 (1967).
I. G. Chumak and V. G. Pogontsev, Investigation of the mechanism of heat transfer at the gas–fiber interface, Inzh.-Fiz. Zh., 36, No. 1, 17–22 (1979).
N. A. Rubtsov, Radiative Heat Transfer in Continuous Media [in Russian], Nauka, Novosibirsk (1984).
N. V. Komarovskaya, Investigation of Radiative Heat Transfer in Disperse Heat Insulators and Heat Insulating Structures, Candidate′s Dissertation (in Engineering), LII, Moscow (1990).
Doon, Yan and Dyan′, Radiative heat transfer in fibrous heat insulation. Pt. 2. Experimental investigation, in: Proc. ASME, Heat Transf., 105, No. 1, 80–86 (1983).
Dayan and Dyan′, Heat transfer in a plane layer of gray medium with linear anisotropic scattering, in: Proc. ASME, Heat Transf., Ser. C, 97, No. 3, 78–84 (1975).
V. M. Kostylev, Macroscopic Kinetics of the Photon Gas. Radiative Heat Transfer in Disperse Media [in Russian], Mashinostroenie, Moscow (2000).
H. Hottel, A. Serofi m, I. Wassalos, and D. Dalzel, Multiple scattering. Comparison between theory and experiment, in: Proc. ASME, Heat Transf., 92, No. 2, 77–83 (1970).
H. C. Van de Hulst, Light Scattering by Small Particles [Russian translation], IIL, Moscow (1961).
M. N. Ozisik, Combined Heat Transfer [in Russian], Mir, Moscow (1976).
V. S. Dozhdikov and V. A. Petrov, Radiation characteristics of heat protective materials of the Buran orbital spacecraft, Inzh.-Fiz. Zh., 73, No. 1, 26–30 (2000).
A. V. Kondratenko, A. S. Moiseev, V. A. Petrov, and S. V. Stepanov, Experimental determination of the optical properties of fibrous quartz ceramics, Teplofiz. Vys. Temp., 29, No. 1, 134–138 (1991).
V. A. Petrov, Radiation Diffusion Model of Radiative-Conductive Heat Transfer in High-Temperature Semitransparent Scattering Heat-Insulating Materials [in Russian], Izd. MGTU MIRÉA, Moscow (2012).
P. V. Prosuntsov and S. V. Reznik, Investigation of the volumetric optical properties of partially transparent scattering materials by solving the inverse problem of heat transfer, in: Proc. 2nd Int. Conf. "Identification of Dynamic Systems and Inverse Problems," Vol. 2, D–12–1–9 (1994).
A. Ishimaru, Propagation and Scattering of Waves in Accidentally Inhomogeneous Media [Russian translation], Mir, Moscow (1981).
V. A. Tovstonog, Identification of thermal and radiative characteristics of light-scattering materials, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 7, Issue 2, 16–21 (1987).
A. V. Zuev, P. V. Prosuntsov, and I. A. Maiorova, Computational-experimental investigation of heat transfer processes in highly porous fibrous heat insulating materials, Tepl. Prots. Tekh., 6, No. 9, 410–419 (2014).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 6, pp. 1319–1329, November–December, 2014.
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Zuev, A.V., Prosuntsov, P.V. Model of the Structure of Fibrous Heat-Insulating Materials for Analyzing Combined Heat Transfer Processes. J Eng Phys Thermophy 87, 1374–1385 (2014). https://doi.org/10.1007/s10891-014-1140-z
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DOI: https://doi.org/10.1007/s10891-014-1140-z