AbstractAbout AuthorsReferences
The relevance of new scientific research aimed at modeling the physico-chemical processes occurring in cement concretes during their operation is substantiated. The main types of concrete corrosion are described. The task of mass transfer processes occurring in a flat reinforced concrete wall at liquid corrosion of concrete of the first type is mathematically formulated. The mathematical problem of mass transfer in a dimensionless form and in the field of Laplace images is presented. The obtained solutions of the problem for large and small values of the Fourier mass transfer number are presented, describing the dimensionless concentrations of the transferred component over the thickness of concrete, making it possible to calculate the dynamics of the process.
S.V. FEDOSOV1, Doctor of Sciences (Engineering), Academician of RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.);
V.E. RUMYANTSEVA2, Doctor of Sciences (Engineering), Adviser of RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it.),
I.V. KRASILNIKOV2, Candidate of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.A. KRASILNIKOVA3, Engineer (This email address is being protected from spambots. You need JavaScript enabled to view it.)
V.E. RUMYANTSEVA2, Doctor of Sciences (Engineering), Adviser of RAACS (This email address is being protected from spambots. You need JavaScript enabled to view it.),
I.V. KRASILNIKOV2, Candidate of Sciences (Engineering) (This email address is being protected from spambots. You need JavaScript enabled to view it.);
I.A. KRASILNIKOVA3, Engineer (This email address is being protected from spambots. You need JavaScript enabled to view it.)
1 National Recearch Moscow State University of Civil Engineering (26, Yaroslavskoye Highway, Moscow, 129337, Russian Federation)
2 Ivanovo State Polytechnical University (21, Sheremetevsky Avenue, Ivanovo, 153000, Russian Federation)
3 Vladimir State University named after Alexander and Nikolai Stoletovs (87, Gorkogo Street, Vladimir, 600000, Russian Federation)
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6. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Kasianenko 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).
7. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Kasianenko N.S. Modeling of mass transfer in corrosion processes of the first type of cement concrete in the system “liquid-tank” in the presence of an internal source of mass in the solid phase. Vestnik grazhdanskikh inzhenerov. 2013. No. 2 (37), pp. 65–70. (In Russian).
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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., 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. (In Russian).
12. Lykov A.V. Teoriya teploprovodnosti [Thermal conductivity theory]. Moscow: Vysshaya shkola. 1967. 600 p.
13. Fedosov S.V., Rumyantseva V.E., Krasil’nikov I.V., Fedosova N.L. Investigation of diffusion mass transfer processes during liquid corrosion of the first type of cement concrete. Izvestiya vysshikh uchebnykh zavedenii. Seriya: Khimiya i khimicheskaya tekhnologiya. 2015. Vol. 58. No. 1, pp. 99–104. (In Russian).
2. Stepanova V.F., Rozental’ N.K. Corrosion protection in the face of a shortage of science funding. Stroitel’naya gazeta. 2013. No. 19 (10238), pp. 1–3. (In Russian).
3. Moskvin V.M. Korroziya betona [Corrosion of concrete]. Moscow: Gosstroyizdat. 1952. 344 p.
4. Mchedlov-Petrosyan O.P. Khimiya neorganicheskikh stroitel’nykh materialov [Chemistry of inorganic building materials]. Moscow: Stroyizdat. 1988. 303 p.
5. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Kas’yanenko N.S. Non-stationary mass transfer in the corrosion processes of the second type of cement concrete. Small values of Fourier numbers, with internal mass source. Izvestiya vysshikh uchebnykh zavedenii. Seriya: Khimiya i khimicheskaya tekhnologiya. 2015. Vol. 58. No. 1, pp. 97–99. (In Russian).
6. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Kasianenko 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).
7. Fedosov S.V., Rumyantseva V.E., Krasilnikov I.V., Kasianenko N.S. Modeling of mass transfer in corrosion processes of the first type of cement concrete in the system “liquid-tank” in the presence of an internal source of mass in the solid phase. Vestnik grazhdanskikh inzhenerov. 2013. No. 2 (37), pp. 65–70. (In Russian).
8. Lykov A.V. Yavleniya perenosa v kapillyarno-poristykh telakh [Transfer phenomena in capillary-porous bodies]. Moscow: Gostekhizdat. 1954. 296 p.
9. Fedosov S.V. Teplomassoperenos v tekhnologicheskikh protsessakh stroitel’noi industrii [Heat and mass transfer in technological processes of the construction industry]. Ivanovo: IPK PresSto. 2010. 364 p.
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., 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. (In Russian).
12. Lykov A.V. Teoriya teploprovodnosti [Thermal conductivity theory]. Moscow: Vysshaya shkola. 1967. 600 p.
13. Fedosov S.V., Rumyantseva V.E., Krasil’nikov I.V., Fedosova N.L. Investigation of diffusion mass transfer processes during liquid corrosion of the first type of cement concrete. Izvestiya vysshikh uchebnykh zavedenii. Seriya: Khimiya i khimicheskaya tekhnologiya. 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 mass transfer in the "cement concrete–liquid medium" system, limited by the internal diffusion of the transferred component at liquid corrosion of the first type. Stroitel’nye Materialy [Construction Materials]. 2021. No. 7, pp. 4–9. (In Russian). DOI: https://doi.org/10.31659/0585-430X-2021-793-7-4-9