KINETICS OF STRUCTURAL TRANSFORMATIONS AT PORES FORMATION DURING HIGH-TEMPERATURE TREATMENT OF FOAM GLASS
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Abstract
The work shows the key points used in the simulation of pores formation and growth in the foam glass structure. Pore is represented as a separate radius growth center with the outer boundary of a spherical shape and with a specified value of the initial radius surrounded by a finite volume of molten glass that is a part of foam glass charge stock. Solution of three-dimensional problem is reduced to one-dimensional setting in spherical coordinates. The presented model takes into consideration kinetics of pores radius growth, taking into account the influence of glass viscosity and surface tension, as well as the effect of moving (stretching) glass cladding when pores radius increases.
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Fedosov, S. V., Bakanov, M. O., & Nikishov, S. N. (2018). KINETICS OF STRUCTURAL TRANSFORMATIONS AT PORES FORMATION DURING HIGH-TEMPERATURE TREATMENT OF FOAM GLASS. International Journal for Computational Civil and Structural Engineering, 14(2), 158–168. https://doi.org/10.22337/2587-9618-2018-14-2-158-168
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References
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10. Sangadiev S.Sh., Munkueva S.B., Sanditov D.S. Determination of the Vogel-Fulcher-Tammann equation parameters for viscositytemperature dependence in the liquid-glass transition area//Bulletin of the Buryat State University, 2009, No. 3, pp. 153-156.
11. Tagantsev D.K. Glassy materials: textbook. – Saint Petersburg: Polytechnic University publishing house,2010. – 204 p.
12. Fedosov S.V., Bakanov M.O. Development of integrated approach to mathematic simulation of foam glass charge stock thermal processing. Part 1. Physical concepts about the process. // Bulletin of the Volga State University of Technology. Series: Materials. Designs. Technologies, 2017, No. 2, pp. 95-100.
13. Fedosov S.V., Bakanov M.O. Foam Glass: Production Specifics, Heat Transfer and Gas Formation Simulation. // Academia. Architecture and Construction, No 1, 2015, pp. 108-113.
14. Fedosov S.V., Bakanov M.O., Volkov A.V. et al. Mathematical Model of the Pore Formation Dynamics Owing to Heat Treatment of the Foam Glass Batch. // Journal of Higher Educational Establishments. Chemistry and Chemical Technology, 2014, Vol. 57, Ed. 3, pp. 73-79.
15. Fedosov S.V., Bakanov M.O., Nikishov S.N. Variability of approaches to mathematic simulation of foam glass charge stock thermal processing. // Academic journal Bulletin of BSTU named after V.G. Shukhov, 2017, No. 11, pp. 110-116.
16. Shill F. Foam glass. Moscow: Stroiizdat, 1965. – 307 p.
17. Kоse S. Study of the dynamics of foaming of the Foam Glass. PhD thesis, Swiss Federal Institute of Technology, Zurich, Switzerland, 1981.
18. Lakatos T., Johansson L.-G. and Simmingskold B. Viscosity temperature relation in the glass system SiO2-Al2O3-Na2O-K2O-CaO-MgO in the composition range of technical glasses. Glass Technol., 13(3):88–95, 1972.
19. Nemec L., Klouzek J. Modeling of glass refining kinetics Part 1. Single bubbles // Ceramics − Silicate, 2003, 1980, Vol. 47 Number 3, рр. 81-87.
20. Princen H.M., Aronson M.P., Moser J.C. Highly concentrated emulsions, II. Real systems. The effect of film thickness and contact angle on the volume fraction in creamed emulsions. J. Colloid. Interface Sci., 1980, Vol. 75 Number 1, рр. 246-270.
21. Scholze H. Glass Nature, Structure and Properties. Springer - Verlag, Berlin Heidelberg New York, 1988.
22. Subramanian R. S., Chi Bo. Bubble dissolution with chemical reaction. Chem. Eng. Sci., 1980, Vol. 35, рр. 2185-2194.
2. Demidovich B.K. Foam glass production and application. Minsk: Nauka i Tekhnika, 1972. – 304 p.
3. Kitaigorodskii I.I., Keshishian, T.N. Foam glass – Moscow: Promstroiizdat, 1953. – 78 p.
4. Landau L.D. Lifshits E.M. Theoretical physics: Textbook. In 10 v. V. 6. Hydrodynamics. – 3rd ed. revised – Moscow: Nauka. Chief editorial board of Phys.-Math.lit., 1986. – 736 p.
5. Lotov V.A. Foam glass production based on natural and technogeneousaluminosilicates. // Glass and ceramics, 2011, No. 9, pp. 34-37.
6. Lotov V.A., Krivepkova Ye.V. Kinetics of the Porous Structure Formation in the Foam Glass. //Glass and Ceramics, No. 3, 2002.
7. Lykov A.V. Transport phenomenon in capillary-porous bodies. – Moscow: Stroiizdat, 1954. – 298 p.
8. Lotov V.A., Kutugin V.A. Method for heat-insulating material and charge stock producing for its manufacturing: pat. 2478586 the Russian Federation. / Appl. 30.09.11; publ. 10.04.13, Bull. No. 10.
9. Lotov V.A., Kutugin V.A. Method for foam glass and foam glass charge stock production for its manufacturing: pat. 2478587 the Russian Federation. / Appl. 30.09.11; publ. 10.04.13, Bull. No. 10.
10. Sangadiev S.Sh., Munkueva S.B., Sanditov D.S. Determination of the Vogel-Fulcher-Tammann equation parameters for viscositytemperature dependence in the liquid-glass transition area//Bulletin of the Buryat State University, 2009, No. 3, pp. 153-156.
11. Tagantsev D.K. Glassy materials: textbook. – Saint Petersburg: Polytechnic University publishing house,2010. – 204 p.
12. Fedosov S.V., Bakanov M.O. Development of integrated approach to mathematic simulation of foam glass charge stock thermal processing. Part 1. Physical concepts about the process. // Bulletin of the Volga State University of Technology. Series: Materials. Designs. Technologies, 2017, No. 2, pp. 95-100.
13. Fedosov S.V., Bakanov M.O. Foam Glass: Production Specifics, Heat Transfer and Gas Formation Simulation. // Academia. Architecture and Construction, No 1, 2015, pp. 108-113.
14. Fedosov S.V., Bakanov M.O., Volkov A.V. et al. Mathematical Model of the Pore Formation Dynamics Owing to Heat Treatment of the Foam Glass Batch. // Journal of Higher Educational Establishments. Chemistry and Chemical Technology, 2014, Vol. 57, Ed. 3, pp. 73-79.
15. Fedosov S.V., Bakanov M.O., Nikishov S.N. Variability of approaches to mathematic simulation of foam glass charge stock thermal processing. // Academic journal Bulletin of BSTU named after V.G. Shukhov, 2017, No. 11, pp. 110-116.
16. Shill F. Foam glass. Moscow: Stroiizdat, 1965. – 307 p.
17. Kоse S. Study of the dynamics of foaming of the Foam Glass. PhD thesis, Swiss Federal Institute of Technology, Zurich, Switzerland, 1981.
18. Lakatos T., Johansson L.-G. and Simmingskold B. Viscosity temperature relation in the glass system SiO2-Al2O3-Na2O-K2O-CaO-MgO in the composition range of technical glasses. Glass Technol., 13(3):88–95, 1972.
19. Nemec L., Klouzek J. Modeling of glass refining kinetics Part 1. Single bubbles // Ceramics − Silicate, 2003, 1980, Vol. 47 Number 3, рр. 81-87.
20. Princen H.M., Aronson M.P., Moser J.C. Highly concentrated emulsions, II. Real systems. The effect of film thickness and contact angle on the volume fraction in creamed emulsions. J. Colloid. Interface Sci., 1980, Vol. 75 Number 1, рр. 246-270.
21. Scholze H. Glass Nature, Structure and Properties. Springer - Verlag, Berlin Heidelberg New York, 1988.
22. Subramanian R. S., Chi Bo. Bubble dissolution with chemical reaction. Chem. Eng. Sci., 1980, Vol. 35, рр. 2185-2194.