MATHEMATICAL MODELING AND EXPERIMENTAL INVESTIGATION OF THE PROCESS OF NON-STATIONARY HEAT TRANSFER IN A BLOCK FOAM GLASS SAMPLE AT THE ANNEALING STAGE
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Abstract
The specifics of the technology for the production of block foam glass are presented, the results of experimental studies of the properties of the material are presented, a method for improving production based on mathematical modeling of heat transfer processes is proposed. It is shown that the processes of high-temperature processing of foam glass make a key contribution to the formation of a high-quality porous structure, therefore, this area of research needs the development of adequate methods for calculating the main macrophysical parameters based on the theory of heat transfer. A technique for checking the adequacy of the mathematical model of heat transfer is presented using the example of spontaneous cooling of a foam glass block. The entire procedure for checking the adequacy of the mathematical model was carried out in three stages. At the first stage, the degree of validation of the model is assessed, functional dependencies with the results of an experimental study based on the Pearson determination coefficient. The main stage includes the evaluation of the confidence intervals of the experimental data and the discussion of the convergence of the results of the analytical calculation with the results of the experimental data. The final stage, at which a comprehensive assessment of the adequacy of the mathematical model is given, includes both the results of the preparatory and the main stages. The results of the study showed that it can be concluded that the calculated data have sufficient convergence with the experimental data and indicate the adequacy of the developed mathematical model of heat transfer.
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References
Sopegin G. V., Rustamova D. Ch., Fedoseev S. M. Analysis of existing technological solutions for the production of foam glass // Vestnik MGSU. - 2019. - T. 14. - No. 12 (135). - S. 1584-1609 (rus). DOI: https://doi.org/10.22227/1997-0935.2019.12.1584-1609
Vinitsky A. L. et al. Diatomite as a promising raw material for producing foam glass // Modern industrial and civil construction. - 2012. - T. 8. - No. 2. - S. 63-70 (rus).
Greshnov V. A. Foam glass as a promising heat-insulating material // Advanced innovative developments. Prospects and experience of use, problems of implementation in production. - 2019. - Part 1 - S. 233-235 (rus).
Goltsman B.M. Investigation of the foaming activity of various types of pore formers when foaming foam glass // Technique and technology of silicates. - 2020. - T. 27. - No. 3. - S. 66-69 (rus).
Demidovich B.K. Foam glass. Minsk: Science and technology, 1975. 248 p (rus).
Fedosov S.V., M.O. Bakanov, S.N. Nikishov. Modeling of Macro-Physical Parameters of Foam Glass under Exposure of Cyclic Thermal Effects, Materials Science Forum Submitted. - (2019). - Vol. 974, pp 464–470. DOI: https://doi.org/10.4028/www.scientific.net/MSF.974.464
Grushko I. S. Investigation of the technological stages of obtaining porous glass using mathematical modeling (review) // Glass and ceramics. – 2016. – no. 10. - P. 3-9 (rus).
Fedosov S.V., Bakanov M.O., Nikishov S.N. Parametric optimization of the thermal processing of foam glass on basis of heat transfer models, IOP Conf. Series: Materials Science and Engineering. (2020) Vol. 709, 044047. DOI: https://doi.org/10.1088/1757-899X/709/4/044047
Grushko I. S. Investigation of foam glass stresses taking into account thermal loads during annealing // News of higher educational institutions. North Caucasian region. Technical science. – 2018. – no. 2 (198). - S. 90-95 (rus). DOI: https://doi.org/10.17213/0321-2653-2018-2-90-95
Grushko I. S. Calculation of the thermal field of foam glass during annealing // Glass Physics and Chemistry. - 2018. - T. 44. - No. 3. - S. 294-302 (rus). DOI: https://doi.org/10.1134/S1087659618030045
Fedosov S.V., Bakanov M.O., Nikishov S.N. Study and simulation of heat transfer processes during foam glass high temperature processing, International Journal for Computational Civil and Structural Engineering. (2018) 14(3) 153–160. DOI: https://doi.org/10.22337/2587-9618-2018-14-3-153-160
Fedosov S.V., Bakanov M.O., Nikishov S.N. Kinetics of structural transformations at pores formation during high-temperature treatment of foam glass, International Journal for Computational Civil and Structural Engineering. (2018) 14(2) 158–168. DOI: https://doi.org/10.22337/2587-9618-2018-14-2-158-168
Fedosov S.V., Bakanov M.O., Nikishov S.N. Kinetics of Cellular Structure Formation at Thermal Treatment Processes Simulation in the Cellular Glass Technology, Materials Science Forum Submitted. (2018) Vol. 931, pp 628–633. DOI: https://doi.org/10.4028/www.scientific.net/MSF.931.628
Lykov A. V. and Mikhailov Yu. A. Theory of heat and mass transfer. M.-L., «Gosenergoizdat», 1963, 536 pages (rus).
Fedosov S. V. Heat and mass transfer in technological processes of the construction industry: monograph. - Ivanovo: PressSto, 2010. - 364 p (rus).
Rudobashta S. P. Mass transfer in solid phase systems / S. P. Rudobashta. - Moscow, 1980. - 248 p (rus).
Bakanov M. O. Modeling of high-temperature processes in foam glass technology. Part 1: Formation of the dynamics of cyclic non-stationary two-dimensional temperature fields // Bulletin of the Volga State Technological University. Series: Materials. Constructions. Technology. - 2021. - No. 2 (18) - P. 87-102 (rus).