Modeling of thermal front passage through thermal insulation material and comparison of the modeling result with the test result of the material under one-sided heating

Butakov V.V., Lugovoy A.A., Babashov V.G., Medvedev A.V., Demina N.M.
UDC
66.045.3
DOI
10.18577/2307-6046-2026-0-3-203-214
Article PDF (Russian) (889.15 KB)
How to cite
Butakov V.V., Lugovoy A.A., Babashov V.G., Medvedev A.V., Demina N.M. Modeling of thermal front passage through thermal insulation material and comparison of the modeling result with the test result of the material under one-sided heating // Proceedings of VIAM. 2026. No. 3. DOI: 10.18577/2307-6046-2026-0-3-203-214. URL: https://test.viam.ru/en/journal/2026/3/15
Keywords
thermal insulation, mathematical modeling, fibrous materials, heating installations, thermophysical properties
Abstract

The thermophysical characteristics of sewing mats made of domestically produced high-temperature textile materials are investigated. A mathematical model has been developed for the passage of a heat front through samples in the operating temperature range of the tested material under conditions simulating operation in the construction of high-temperature furnaces. The experimental conditions correspond to the use of the material as thermal insulation for heat-treatment equipment. The test results of sewing mats of various densities under one-sided heating conditions are presented and the simulation results are compared with experimental data.

Reference list
  1. Kablov E.N. New-generation materials and digital technologies for their processing. Vestnik Rossiyskoy akademii nauk, 2020, vol. 90, no. 4, pp. 331–334.
  2. Kablov E.N. New-generation materials – the basis for innovation, technological leadership, and national security of Russia. Intellekt i tekhnologii, 2016, no. 2 (14), pp. 16–21.
  3. Medvedev A.V., Gofin M.Ya. Stitched mats made of low-density quartz materials. Izvestiya vysshikh uchebnykh zavedeniy. Tekhnologiya legkoy promyshlennosti, 2024, no. 4, pp. 92–96. DOI: 10.46418/0021-3489_2024_68_04_20.
  4. Keller K., Antonenko J., Weber K.H. High-Temperature Insulations. ESA Bulletin, 1994, no. 80. Available at: https://www.esa.int/esapub/bulletin/bullet80/keller80.htm (accessed: July 29, 2025).
  5. Paderin L.Ya., Prusov B.V., Tokarev O.D. Study of thermal conductivity of porous thermal insulation materials at high temperatures. Uchenye zapiski TsAGI, 2011, vol. XLII, no. 4, pp. 77–83.
  6. Tomak V.I., Burkov A.S., Rytsarev A.M., Tovstonog V.A. Experimental assessment of thermophysical characteristics of high-temperature thermal insulation materials. Vestnik MGTU im. N.E. Baumana. Ser.: Yestestvennye nauki, 2020, no. 2, pp. 99–116. DOI: 10.18698/1812-3368-2020-2-99-116.
  7. Zuev A.V., Zarichnyak Yu.P., Razmakhov M.G. Prerequisites for the selection of the structure model of highly porous fibrous materials to take into account the influence of technological factors and the calculation of heat transfer. Trudy VIAM, 2019, no. 12 (84), pp. 109–118. Available at: http://www.viam-works.ru (accessed: July 29, 2025). DOI: 10.18577/2307-6046-2019-0-12-109-118.
  8. Zuev A.V., Zarichnyak Yu.P., Barinov D.Ya. Measurement of thermophysical properties rigid fiber insulation. Trudy VIAM, 2021, no. 2 (96), pp. 88–98. Available at: http://www.viam-works.ru (accessed: July 29, 2025). DOI: 10.18577/2307-6046-2021-0-2-88-98.
  9. Struk A.A., Medvedev A.V., Razumeev K.E. Study of the dependence of the density of silica non-woven fibrous materials on the specific load. Vestnik Vitebskogo gosudarstvennogo tekhnologicheskogo universiteta, 2024, no. 1, pp. 9–20. DOI: 10.24412/2079-7958-2024-1-9-20.
  10. Zhukovskaya A.E., Kortel A.A., Sherman E.A. et al. Application of organosilicon polymers in the technology of corundum refractories. Ogneupory, 1980, no. 8, pp. 51–55.
  11. Duderov I.G., Poluboyarinov D.N. Influence of porosity and structure of corundum refractories on their thermal conductivity. Ogneupory, 1963, no. 2, pp. 518–524.
  12. Sharikov Yu.V., Markus A.A. Mathematical modeling of thermal fields in a fragment of a rotary kiln lining. Metallurg, 2013, no. 12, pp. 23–26.
  13. Gubareva K.V., Popov A.I., Zinina S. A. et al. Modeling of heat transfer processes in a plate with variable thermophysical properties. Nauchnoye obozreniye. Tekhnicheskiye nauki, 2020, no. 6, pp. 52–57.
  14. Lykov A.V. Theory of heat conductivity: a textbook for universities. Moscow: Vysshaya shkola, 1967, 600 p.
  15. Kudinov V.A., Kartashov E.M., Stefanyuk E.V. Technical Thermodynamics and Heat Transfer. Moscow: Yurait, 2011, 560 p.
  16. Dubskiy G.A., Egorova L.G., Kukhta Yu.B., Bondarenko E.G. Software for Mathematical Modeling of Thermophysical Processes in Layered Structures. Informatsionnyye tekhnologii v proyektirovanii i proizvodstve, 2010, no. 2, pp. 76–79.
  17. Tugov V.V., Akimov I.A. Development of Mathematical Models of Heat Transfer in Multilayer Structures. Fundamentalnye issledovaniya, 2020, no. 8-2, pp. 320–324.
  18. Zverev V.G., Goldin V.D., Nazarenko V.A. Radiative-conductive heat transfer in fibrous heat-resistant insulation under thermal influence. Teplofizika vysokikh temperatur, 2008, vol. 46, no. 1, pp. 119–125.
  19. Zuev A.V., Zarichnyak Yu.P., Barinov D.Ya., Krasnov L.L. Measurement of thermophysical properties of flexible thermal insulation. Aviation materials and technology, 2021, no. 1 (62), pp. 119–126. Available at: http://www.journal.viam.ru (accessed: July 29, 2025). DOI: 10.18577/2713-0193-2021-0-1-119-126.
  20. Zuev A.V., Zarichnyak Yu.L., Vorobyov N.N., Barbotko S.L. Evaluation of heat transfer in a flexible fibrous thermal insulation composite. Inzhenerno-fizicheskiy zhurnal, 2023, vol. 96, no. 3, pp. 593–606.
  21. Kalabin A.L. Model of the structure of fibrous systems for studying thermophysical properties. Matematicheskie metody v tekhnologiyakh i tekhnike, 2021, no. 8, pp. 39–42. DOI: 1052348/2712-8873_ММТТ_2021_8_39.
  22. Shamparov E.Yu., Zhagrina I.N., Rode S.V. Heat transfer in lightweight thermal insulation materials. Modern problems of engineering sciences: col. of sc. papers of Proceedings of the VI Int. Sc. and Tech. Symposium, Int. Sc. and Tech. Forum: in 2 vols. Moscow, 2017, vol. 2, pp. 236–240.
  23. Kutageladze S.S. Fundamentals of Heat Transfer Theory. 5th ed. Moscow: Atomizdat, 1979, 416 p.
  24. Butakov V.V., Lugovoy A.A., Varrik N.M., Babashov V.G. Assessment of thermal conductivity of a layered highly porous thermal insulation material. Aviation materials and technologies, 2022, no. 3 (68), pp. 120–129. Available at: http://www.journal.viam.ru (accessed: July 29, 2025). DOI: 10.18577/2713-0193-2022-0-3-120-129.
  25. Butakov V.V., Shavnev A.A., Lugovoy A.A., Varrik N.M., Babashov V.G. An approach to the construction of a mathematical model of the passage of a heat front through a sample of a heat-shielding material under conditions of an unsteady heat flow. Trudy VIAM, 2022, no. 6 (112), pp. 127–137. Available at: http://www.viam-works.ru (accessed: July 29, 2025). DOI: 10.18577/2307-6046-2022-0-6-127-137.
  26. Lugovoy A.A., Babashov V.G., Karpov Yu.V. The thermal diffusivity of the gradient thermal insulation material. Trudy VIAM, 2014, no. 2, pp. 17–22. Available at: http://www.viam-works.ru (accessed: July 29, 2025).
  27. Butakov V.V., Lugovoy A.A., Varrik N.M., Babashov V.G. Simulation of the propagation of a heat front through a sample of a multilayer thermal insulation material under conditions of non-stationary heat flow. Trudy VIAM, 2022, no. 10 (116), pp. 128–139. Available at: http://www.viam-works.ru (accessed: July 29, 2025). DOI: 10.18577/2307-6046-2022-0-10-128-139.
  28. Kainarskii I.S., Degtyareva E.V., Orlova I.G. Corundum Refractories and Ceramics. Moscow: Metallurgiya, 1981, 168 p.
  29. Chudnovsky A.F. Thermophysical Characteristics of Dispersed Materials. Moscow: Fizmatgiz, 1962, 456 p.
  30. Mikheev M.A. Fundamentals of Heat Transfer. Moscow: Gosstroyizdat, 1956, 392 p.
  31. Glebov S.V. Lightweight Refractories. Moscow: Metallurgizdat, 1945, pp. 73–75.
  32. Maneshev I.O., Pravnik Yu.I., Sadykov R.A. et al. Experimental Determination of Thermal Conductivity Coefficients and Efficiency of Ultra-Thin Thermal Insulation Coatings. Izvestiya KGASU, 2013, no. 1 (23), pp. 135–142.
  33. Karpov D.V., Pavlov M.V., Sinitsyn A.A. et al. Experimental and Calculated Determination of Thermal Conductivity Coefficient of a Solid Using Sand-Lime Brick as an Example by Active Thermal Non-Destructive Testing. Vestnik TGASU, 2014, no. 2, pp. 118–126.
  34. Test Rig for Qualitative Assessment of Thermal Insulation Materials: pat 156904 Rus. Federation; appl. 25.09.14; publ. 20.11.15.