Dependence of dispersion of low-expansion foam on the position in the foam layer by height
https://doi.org/10.29235/1561-8358-2026-71-2-127-140
Abstract
This paper presents a comprehensive analysis of structural models for low-expansion foams used in fire suppression systems. The cellular model, which occupies an intermediate position between spherical and polyhedral structures, was selected as the most adequate one, closely approximating real foams. The primary research objective was to establish the dependence of the average foam bubble diameter on the position within the foam layer by height. This relationship is crucial for understanding foam breakdown mechanisms and predicting its operational performance. To facilitate the comparison of polydisperse foams produced by different methods, a new classification of foams by dispersion composition was introduced, utilizing the concepts of minimum and maximum bubble diameters. A semi-empirical model for low-expansion foams was developed, incorporating the calculation of the volumetric flow rate of liquid through the Plateau-Gibbs channels (capillaries) under steady-state flow conditions, as well as key foam characteristics such as expansion ratio and stability. Experimental studies using the “Sintek-6NS” foaming agent were conducted to verify the theoretical dependence, revealing a clear stratification of the foam column into zones with varying dispersion and bubble shapes. The obtained experimental dependence for average foam bubble diameter shows good agreement with the equation proposed by the authors.
About the Authors
A. N. KamlukBelarus
Andrei N. Kamluk – Cand. Sci. (Physics and Mathematics), Associate Professor, Deputy Head of the Department of Scientific and Innovation Activities
25, Mashinostroiteley St., 220118, Minsk
E. G. Govor
Belarus
Eduard G. Govor – Leading Researcher of the Department of Scientific and Innovation Activities
25, Mashinostroiteley St., 220118, Minsk
A. O. Likhomanov
Belarus
Alexey O. Likhomanov – Cand. Sci. (Engineering), Associate Professor, Associate Professor of the Chair of Automatic System Security
25, Mashinostroiteley St., 220118, Minsk
References
1. Sharovarnikov A. F., Sharovarnikov A. F. Foaming Agents and Foams for Extinguishing Fires. Composition, Properties, Application. Moscow, Pozhnauka Publ., 2005. 335 p. (in Russian).
2. Mukhamediev Sh. A., Vas’kina V.A. Emulsions and foams: structure, preparation, stability. Part 1. Masla i zhiry [Oils and Fats], 2008, no. 10, pp. 22–26 (in Russian).
3. Mukhamediev Sh. A., Vas’kina V.A. Emulsions and foams: structure, preparation, stability. Part 2. Masla i zhiry [Oils and Fats], 2008, no. 11, pp. 2–5 (in Russian).
4. Kamluk A. N., Grachulin A. V. Compression Foam for the Needs of Fire Brigades. Minsk, University of Civil Protection, 2019. 224 p. (in Russian).
5. Kamluk A. N., Likhomanov A. O., Govor E. G. Dependence of the volume stability on the expansion rate of lowexpansion foam. Vestsi Natsyyanal’nai akademii navuk Belarusi. Seryya fizika-tekhnichnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physical-technical series, 2024, vol. 69, no. 3, pp. 194–205 (in Russian). https://doi.org/10.29235/1561-8358-2024-69-3-194-205
6. Kann K. B. Capillary Hydrodynamics of Foam. Novosibirsk, Nauka, Siberian Branch Publ., 1983. 167 p. (in Russian).
7. Manzhay V. N., Fufayeva M. S. Dispersity and stability of foams obtained from poly(vinyl alcohol) solution and the properties of resulting foamed cryogels. Colloid Journal, 2014, vol. 76, no. 4, pp. 455–458. https://doi.org/10.1134/s1061933x14040097
8. Pakhomov A. N., Pekshev D. S., Gatapova N. Ts., Pakhomova Yu. V. Evaluation of the effectiveness of mechanical methods of foam destruction. Transactions of the Tambov State Technical University, 2024, vol. 30, no. 2, pp. 292–299 (in Russian).
9. Baeshko A. A., Tikhon S. N., Kryzhova E. V., Markautsan P. V., Vartanyan V. F., Dechko V. M., Kovalevich K. M., Shestak N. G. Foam-form sclerotherapy: history of the development and present-day findings. Novosti Khirurgii, 2012, vol. 20, no. 4, pp. 101–110 (in Russian).
10. Kamlyuk A. N. Approaches to calculating the expansion, dispersion and stability of low expansion air-mechanical foams. Vestnik Universiteta grazhdanskoi zashchity MChS Belarusi = Journal of Civil Protection, 2025, vol. 9, no. 1, pp. 54–65 (in Russian). https://doi.org/10.33408/2519-237X.2025.9-1.54
11. Vetoshkin A. G. Physical Basis and Techniqueof Foam Separation Processes. Moscow, Vologda, Infra-Inzheneriya Publ., 2016. 404 p. (in Russian).
12. Bashtovoy V. G., Reks A. G. Special Flows of Liquids and Gases. Minsk, Belarusian National Technical University, 2020. 45 p. (in Russian).
13. Krotov V. V. Syneresis theory of foams and concentrated emulsions. Local multiplicity of poly-hedral disperse systems. Kolloidnyi zhurnal = Colloid Journal, 1980, vol. 42, no. 6, pp. 1081–1091 (in Russian).
14. Pakharukov Yu. V., Shevnina T. E. Fractal-percolation model of the stability of foam. Journal of Experimental and Theoretical Physics Letters, 1999, vol. 69, iss. 12, pp. 954–958. https://doi.org/10.1134/1.568119
15. Pakharukov Yu. V., Shevnina T. E. Foam stabilization by surfactants: A fractal-percolation fracture model. Technical Physics Letters, 2001, vol. 27, pp. 127–128. https://doi.org/10.1134/1.1352769
16. Krotov V. V. Syneresis theory of foams and concentrated emulsions. Local hydroconductivity of poly-hedral disperse systems. Kolloidnyi zhurnal = Colloid Journal, 1980, vol. 42, no. 6, pp. 1092–1101 (in Russian).
17. Kuznetsova L. L. Kruglyakov P. M. Investigation of the flow patterns of surfactant solutions through Plateau–Gibbs foam channels. Doklady Akademii nauk SSSR [Proceedings of the USSR Academy of Sciences], 1981, vol. 260, no. 4, pp. 928–932 (in Russian).
18. Krotov V. V. Structure, syneresis and destruction kinetics of polyhedral disperse systems. Storonskin A. V. (ed.). Voprosy termodinamiki geterogennykh sistem i teorii poverkhnostnykh yavlenii: sbornik nauchnykh statcei [Problems of Thermodynamics of Heterogeneous Systems and Theory of Surface Phenomena: Collection of Scientific Articles]. Leningrad, A. A. Zhdanov Leningrad University Publ., 1982, iss. 6, pp. 110–191 (in Russian).
19. Kruglyakov P. M. Yekserova D. R. Foam and Foam Films. Moscow, Khimiya Publ., 1990. 432 p. (in Russian).
20. Pertsov A. V., Chernin V. N., Chistyakov B. E., Shchukin E. D. Capillary effects and hydrostatic stability of foams. Doklady Akademii nauk SSSR [Proceedings of the USSR Academy of Sciences], 1978, vol. 238, no. 6, pp. 1395–1398 (in Russian).
21. Kann K. B. Some patterns of pen syneresis. Leakage. Kolloidnyi zhurnal = Colloid Journal, 1978, vol. 40, no. 5, pp. 858–864 (in Russian).
22. Vilkova N. G. Properties of Foams and Methods of Their Investigation. Penza, Penza State University of Architecture and Construction, 2013. 120 p. (in Russian).
23. Govor E. G., Kamlyuk A. N., Likhomanov A. O. Experimental study of main classification characteristics of foam and the influence of deflector type sprinkler parameters on them. Vestnik Fonda fundamental’nykh issledovanii = Vestnik of the Foundation for Fundamental Research, 2024, vol. 107, no. 1, pp. 86–96 (in Russian).
24. Kamlyuk A. N., Likhomanov A. O., Titovets A. F., Polochanin N. S., Grachulin A. V. Influence of the dimensions of the grid cell and the distance from it to the nozzle of the foam-generating device on the foam dispersion. Vestnik Universiteta grazhdanskoi zashchity MChS Belarusi = Journal of Civil Protection, 2022, vol. 6, no. 4, pp. 441–450 (in Russian). https://doi.org/10.33408/2519-237X.2022.6-4.441
25. Shapovalova E. A., Ogai V. A. Experimental studies on the selection of optimal surfactant concentrations in aqueous solutions to improve gas well productivity. News of the Tula State University. Sciences of Earth, 2022, iss. 1, pp. 373–387 (in Russian). https://doi.org/10.46689/2218-5194-2022-1-1-373-387
26. Lamolinairie J., Dollet B., Bridot J.-L., Bauduin P., Diat O., Chiappisi L. Probing foams from the nanometer to the millimeter scale by coupling small-angle neutron scattering, imaging, and electrical conductivity measurements. Soft Matter, 2022, vol. 18, iss. 46, pp. 8733–8747. https://doi.org/10.1039/d2sm01252a
Review
JATS XML































