AbstractAbout AuthorsReferences
The relevance of new scientific research aimed at modeling the physico-chemical processes occurring in cement concretes during their operation, which have a direct impact on their durability, is substantiated. The main types of concrete corrosion are described. The problem of mass transfer processes occurring in a flat reinforced concrete wall with liquid corrosion of concrete limited by internal diffusion and external mass transfer is mathematically formulated. The mathematical problem of mass transfer in dimensionless form and in the field of Laplace images is presented. The obtained solutions of the problem describing the dimensionless concentrations of the transferred component over the thickness of concrete, allowing to calculate the dynamics of the process, are presented.
S.V. FEDOSOV1,2, Doctor of Sciences (Engineering), Academician of the RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it.);
V.E. RUMYANTSEVA2,3, Doctor of Sciences (Engineering), Corresponding Member of RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.V. KRASILNIKOV2,3, Candidate of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.A. KRASILNIKOVA4, Engineer (This email address is being protected from spambots. You need JavaScript enabled to view it.)
V.E. RUMYANTSEVA2,3, Doctor of Sciences (Engineering), Corresponding Member of RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.V. KRASILNIKOV2,3, Candidate of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.A. KRASILNIKOVA4, Engineer (This email address is being protected from spambots. You need JavaScript enabled to view it.)
1 National Research Moscow State University of Civil Engineering (26, Yaroslavskoe Highway, Moscow, 129337, Russian Federation)
2 Research Institute of Building Physics of the Russian Academy of Architecture and Construction Sciences (21, Lokomotivniy Driveway, Moscow, 127238, Russian Federation)
3 Ivanovo State Polytechnic University (21, Sheremetevskiy Avenue, 153000, Ivanovo, Russian Federation)
4 Vladimir State University named after Alexander and Nikolai Stoletovs (87, Gorky Street, Vladimir, 600000, Russian Federation)
1. Rozental’ N.K. Korrozionnaja stojkost’ cementnyh betonov nizkoj i osobo nizkoj pronicaemosti [Corrosion resistance of cement concretes of low and very low permeability]. Moscow: FGUP CPP. 2006. 520 p.
2. Nikolaev S.V., Nikolaev S.V., Travush V.I., Tabun-shhikov Ju.A., Kolubkov A.N., Solomanidin G.G., Magaj A.A., Dubynin N.V. Regulatory framework of high-rise construction in Russia. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2016. No. 1-2, pp. 3–7. (In Russian).
3. Mchedlov-Petrosjan O.P. Himija neorganicheskih stroitel’nyh materialov [Chemistry of inorganic building materials]. Moscow: Stroyizdat. 1988. 303 p.
4. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Kas’janenko N.S. Non-stationary mass transfer in the processes of corrosion of the second type of cement concrete. Small Fourier numbers, with internal mass source. Izvestiya vysshih uchebnyh zavedeniy. Serija: Himiya i himicheskaya tehnologiya. 2015. Vol. 58. No. 1, pp. 97–99. (In Russian).
5. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Kas’janenko N.S. Theoretical and experimental studies of processes of corrosion of the first kind of cement concretes in the presence of inner source of mass. Stroitel’nye Materialy [Construction Materials]. 2013. No. 6, pp. 44–47. (In Russian).
6. Fedosov S.V., Rumyanceva V.E., Krasil’nikov I.V., Kasyanenko N.S. Modeling of mass transfer in the processes of corrosion of the first type of cement concrete in the “liquid–reservoir” system in the presence of an internal source of mass in the solid phase. Vestnik grazhdanskih inzhenerov. 2013. No. 2 (37), pp. 65–70. (In Russian).
7. Fedosov S.V., Rumyanceva V.E., Krasil’nikov I.V. Metody matematicheskoj fiziki v prilozhenijah k problemam korrozii betona v zhidkih agressivnyh sredah [Methods of mathematical physics in applications to the problems of concrete corrosion in liquid aggressive media]. Moscow: ASV. 2021. 246 p.
8. Lykov A.V. Yavleniya perenosa v kapillyarno-poristyh telah [Transport phenomena in capillary-porous bodies]. Moscow: Gostehizdat. 1954. 296 p. (In Russian).
9. Fedosov S.V., Roumyantseva V.E., Krasilnikov I.V., Konovalova V.S., Evsyakov A.S. Monitoring of the penetration of chloride ions to the reinforcement surface through a concrete coating during liquid corrosion. IOP Conference Series Materials Science and Engineering. 2018. 463(4):042048. DOI:10.1088/1757-899X/463/4/042048
10. Fedosov S.V., Roumyantseva V.E., Krasilnikov I.V., Konovalova V.S. Physical and mathematical modelling of the mass transfer process in heterogeneous systems under corrosion destruction of reinforced concrete structures. IOP Conference Series: Materials Science and Engineering. 2018. 012039. DOI: 10.1088/1757-899X/456/1/012039
11. Fedosov S.V. Teplomassoperenos v tehnologicheskih processah stroitel’noy industrii [Heat and mass transfer in technological processes in the construction industry]. Ivanovo: IPK PresSto. 2010. 364 p.
12. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Loginova S.A. Study of effect of mass transfer processes on reliability and durability of reinforced concrete structures operating in liquid aggressive media. Stroitel’nye Materialy [Construction Materials]. 2017. No. 12, pp. 52–57. DOI: https://doi.org/10.31659/0585-430X-2017-755-12-52-57. (In Russian).
13. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Fedosova N.L. Study of diffusion processes of mass transfer during liquid corrosion of the first type of cement concrete. Izvestija vysshih uchebnyh zavedenij. Serija: Himija i himicheskaja tehnologija. 2015. Vol. 58. No. 1, pp. 99–104. (In Russian).
2. Nikolaev S.V., Nikolaev S.V., Travush V.I., Tabun-shhikov Ju.A., Kolubkov A.N., Solomanidin G.G., Magaj A.A., Dubynin N.V. Regulatory framework of high-rise construction in Russia. Zhilishchnoe Stroitel’stvo [Housing Construction]. 2016. No. 1-2, pp. 3–7. (In Russian).
3. Mchedlov-Petrosjan O.P. Himija neorganicheskih stroitel’nyh materialov [Chemistry of inorganic building materials]. Moscow: Stroyizdat. 1988. 303 p.
4. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Kas’janenko N.S. Non-stationary mass transfer in the processes of corrosion of the second type of cement concrete. Small Fourier numbers, with internal mass source. Izvestiya vysshih uchebnyh zavedeniy. Serija: Himiya i himicheskaya tehnologiya. 2015. Vol. 58. No. 1, pp. 97–99. (In Russian).
5. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Kas’janenko N.S. Theoretical and experimental studies of processes of corrosion of the first kind of cement concretes in the presence of inner source of mass. Stroitel’nye Materialy [Construction Materials]. 2013. No. 6, pp. 44–47. (In Russian).
6. Fedosov S.V., Rumyanceva V.E., Krasil’nikov I.V., Kasyanenko N.S. Modeling of mass transfer in the processes of corrosion of the first type of cement concrete in the “liquid–reservoir” system in the presence of an internal source of mass in the solid phase. Vestnik grazhdanskih inzhenerov. 2013. No. 2 (37), pp. 65–70. (In Russian).
7. Fedosov S.V., Rumyanceva V.E., Krasil’nikov I.V. Metody matematicheskoj fiziki v prilozhenijah k problemam korrozii betona v zhidkih agressivnyh sredah [Methods of mathematical physics in applications to the problems of concrete corrosion in liquid aggressive media]. Moscow: ASV. 2021. 246 p.
8. Lykov A.V. Yavleniya perenosa v kapillyarno-poristyh telah [Transport phenomena in capillary-porous bodies]. Moscow: Gostehizdat. 1954. 296 p. (In Russian).
9. Fedosov S.V., Roumyantseva V.E., Krasilnikov I.V., Konovalova V.S., Evsyakov A.S. Monitoring of the penetration of chloride ions to the reinforcement surface through a concrete coating during liquid corrosion. IOP Conference Series Materials Science and Engineering. 2018. 463(4):042048. DOI:10.1088/1757-899X/463/4/042048
10. Fedosov S.V., Roumyantseva V.E., Krasilnikov I.V., Konovalova V.S. Physical and mathematical modelling of the mass transfer process in heterogeneous systems under corrosion destruction of reinforced concrete structures. IOP Conference Series: Materials Science and Engineering. 2018. 012039. DOI: 10.1088/1757-899X/456/1/012039
11. Fedosov S.V. Teplomassoperenos v tehnologicheskih processah stroitel’noy industrii [Heat and mass transfer in technological processes in the construction industry]. Ivanovo: IPK PresSto. 2010. 364 p.
12. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Loginova S.A. Study of effect of mass transfer processes on reliability and durability of reinforced concrete structures operating in liquid aggressive media. Stroitel’nye Materialy [Construction Materials]. 2017. No. 12, pp. 52–57. DOI: https://doi.org/10.31659/0585-430X-2017-755-12-52-57. (In Russian).
13. Fedosov S.V., Rumjanceva V.E., Krasil’nikov I.V., Fedosova N.L. Study of diffusion processes of mass transfer during liquid corrosion of the first type of cement concrete. Izvestija vysshih uchebnyh zavedenij. Serija: Himija i himicheskaja tehnologija. 2015. Vol. 58. No. 1, pp. 99–104. (In Russian).
For citation: Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Krasilnikova I.A. Mathematical modeling of unsteady mass transfer in the cement concrete-liquid medium system, limited by internal diffusion and external mass transfer. Stroitel’nye Materialy [Construction Materials]. 2022. No. 1–2, pp. 134–140.