Light & Engineering 33 (6) 2025

Volume 33
Date of publication 12/11/2025
Pages 74–79

Freezing and Thawing of Enclosing Structures and Foundation Soils Taking into Account the Effects of Solar Energy: Part 4. Examples of Calculation and Analysis of Some Applied Problems Using Developed Mathematical Models and Calculation Methods (Beginning

Articles authors:

Alexander M. Ibragimov, Lyubov Yu. Gnedina

Alexander M. Ibragimov, Doctor of Technical Sciences, Professor. Graduated from the Ivanovo Power Engineering Institute in 1981, Faculty of Civil Engineering, specialty – Industrial and Civil Engineering, qualification – Civil Engineer; North-Western Academy of Public Administration under the President of the Russian Federation (1997), specialty – “Jurisprudence”, qualification – lawyer. In 1988, he defended his Ph. D. thesis, and in 2007 – his HDR thesis. Member of the Petrovsky Academy of Sciences and Arts, Full Member of the Russian Society of Civil Engineers, Advisor to the Russian Academy of Architecture and Construction Sciences. Awarded the Certificate of Honour of the Ministry of Education and Science of the Russian Federation. Specializes in the field of the theory of calculation of buildings and structures. The general list of scientific works includes more than 180 titles

Lyubov Yu. Gnedina, Ph. D., Associate Professor. She graduated from the Ivanovo Power Energy Institute in 1981, Faculty of Civil Engineering, specialty – PGS, qualification – Civil Engineer. In 1999, she defended her Ph. D. thesis. At present, she is an Associate Professor at the Department of Architectural and Construction Design and Physics of the Environment, NRU MGSU. Also, she awarded with an honorary diploma of the Ministry of Education and Science of the Russian Federation and her specialization is in the field of thermo-technical calculations of building materials and building structures. The general list of her scientific papers is more than 70 titles

Abstract:

Part 1 provides general information on some physical properties of water, ice and snow to understand the non-stationary processes of freezing and thawing of enclosing structures of wet foundation soils.
Parts 2 and 3 provide a physical and mathematical formulation of the problem of freezing of wet soil, the Lame and Clapeyron solution, the Stefan solution, and a physical and mathematical formulation of the problem of freezing of a strip foundation. The description of the freezing process of a single-layer enclosing structure, taking into account the phase transformations of moisture in the material of the structure according to V.N. Bogoslovsky, and the freezing process of an unlimited plate, taking into account the phase transformations of moisture in the material of the structure according to A.V. Lykov, are considered. Solutions to boundary value problems for frozen and thawed zones in the region of large and small Fourier numbers are given. Prospects for applying the proposed mathematical models to describe the freezing processes of both enclosing structures and foundation soils are outlined. Section 4 presents examples and calculation results, as well as an analysis of the freezing process of the most common soil bases: loams, sandy loams and sands. It is concluded that if various real weather conditions are modelled, then in non-stationary processes the temperature fields have a complex form, there are closed and open isotherms, reminiscent of contours in a cartographic survey. However, the developed calculation methods presented in sections 1, 2, 3 allow modelling such situations and obtaining the temperature distribution at any time of interest.

References:

1. Ibragimov, A., Gnedina, L., Gerasimova, S. Freezing and thawing of enclosing structures and foundation soils taking into account the effects of solar energy: Part 1. Theoretical foundations of freezing wet soils// Light & Engineering, 2024, Vol. 32, # 1, pp. 70–79, https://doi.org/10.33383/2023–069.
2. Ibragimov, A., Gnedina, L., Gerasimova, S. Freezing and thawing of enclosing structures and foundation soils taking into account the effects of solar energy: Part 2. Problem statement // Light & Engineering, 2024, Vol. 32, # 1, pp. 80–91, https://doi.org/10.33383/2023–070.
3. Lykov, A.V. Theory of thermal conductivity [Teoriya teploprovodnosti] / Moscow: Higher School, 1967.
4. Lykov, A.V., Mikhailov, Yu.A. Theory of heat and mass transfer [Teoriya teplo- i massoperenosa] / М.-L.: Gosenergoiz-dat, 1963.
5. Fedosov, S.V., Gnedina, L. Yu. Non-stationary heat transfer in a multilayer enclosing structure [Nestacionarnyj teploperenos v mnogoslojnoj ograzhdayushchej konstrukcii] / In the book Problems of building thermal physics of microclimate and energy saving systems in buildings: Collection of reports of the fourth scientific and practical conference, April 27–29, 1999. Moscow: NIISF, pp. 343–348.
6. SP 22.13330.2016 Soil bases of buildings and structures (2017) / Standartinform, Moscow.
7. SP 25.13330.2020 (2021) Soil bases and foundations on permafrost soils / Standartinform, Moscow.

Keywords

DOI: https://doi.org/10.33383/2025-057

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