Mathematical model for predicting the expansion rate of fire extinguishing foam produced in devices with meshes
DOI:
https://doi.org/10.33408/2519-237X.2026.10-1.53Keywords:
foam-generating device, mesh, foam expansion rate, mathematical modelAbstract
Purpose. Based on the results of experimental studies, a mathematical model is developed for predicting the foam multiplicity, taking into account the main parameters of the foam formation process on the grids of foam-generating devices.
Methods. The general methodology of the work included the theoretical (analysis, synthesis, comparison) and experimental research methods. The foam expansion rate was determined experimentally using the developed method. Processing of experimental data and creation of a mathematical model included the use of statistical regression analysis.
Findings. As a result of the research, experimental data were obtained on the dependence of the foam multiplicity on a number of parameters of the foaming process on the mesh of foam-generating devices (mesh cell size, distance from nozzle outlet to mesh, nozzle outlet diameter, foaming solution flow velocity and its properties). In particular, to take into account the size of the mesh cell, a generalized parameter Km was used, reflecting the proportion of the part filled with wire from the entire surface area of the mesh. The flow velocity of the foaming solution and its properties are taken into account using the capillarity number Ca. Based on the analysis and generalization of the obtained data, the mathematical model was developed for predicting the expansion rate of fire-extinguishing foam, reflecting the listed parameters of foam formation on the meshes. The predicted values according to the developed model coincide with the experimental values (analysis of residuals confirmed the adequacy of the model). The average error in calculating the foam expansion ratio is less than 10 %.
Application field of research. Design and operation of foam-generating devices with meshes. The proposed model allows for the selection of the required foam-generating device configuration taking into account the foam concentrate used and the foam solution flow conditions to produce the most effective fire extinguishing foam.
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Copyright (c) 2026 Kamlyuk A.N., Likhomanov A.O., Garaev Y.V., Vashkevich D.A.
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