Keywords: wind action, equation of dynamics, movement trajectory of a fire extinguishing agent, water jet


One of the tasks to be solved when deploying fire extinguishing systems is to determine the range of the fire extinguishing agent supply to the combustion center. This problem is solved using data on the trajectory of the fire-extinguishing agent in the combustion center. The presence of wind impact on the process of supplying a fire extinguishing agent will lead to a change in its trajectory. To take into account wind impact, it becomes necessary to assess the result of such impact. Using the basic equation of dynamics for specific forces, a system of differential equations is obtained that describes the delivery of a fire extinguishing agent to the combustion center. The system of differential equations takes into account the presence of wind impact on the movement of the extinguishing agent. The presence of wind action is taken into account by the initial conditions. To solve such a system, the integral Laplace transform was used in combination with the method of undefined coefficients. The solution is presented in parametric form, the parameter of which is time. For a particular case, an expression is obtained that describes the trajectory of the supply of the extinguishing agent into the combustion center. Nomograms are constructed, with the help of which the operative determination of the estimate of the maximum range of the fire-extinguishing agent supply is provided. Estimates are obtained for the time of delivery of a fire-extinguishing agent to the combustion center, and it is shown that for the characteristic parameters of its delivery, this value does not exceed 0.5 s. The influence of wind action on the range of supply of a fire extinguishing agent is presented in the form of an additive component, which includes the value of the wind speed and the square of the time of its delivery. To assess the effect of wind impact on the movement of the fire extinguishing agent, an analytical expression for the relative error was obtained and it was shown that the most severe conditions for supplying the fire extinguishing agent to the combustion center, the value of this error does not exceed 5.5%. Taking into account the wind effect when assessing the range of supply of a fire-extinguishing agent makes it possible to increase the efficiency of fire-extinguishing systems due to its more accurate delivery to the combustion center


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Author Biographies

Yuriy Abramov, National University of Civil Defence of Ukraine

Research Center

Oleksii Basmanov, National University of Civil Defence of Ukraine

Department of Problems of Civil Protection and Technogenic-Ecological Safety of the Research Center

Valentina Krivtsova, National University of Civil Defence of Ukraine

Department of Physical and Mathematical Disciplines

Andrii Khyzhnyak, Cherkasy Institute of Fire Safety named after Chornobyl Heroes of National University of Civil Defence of Ukraine

Department of Automatic Safety Systems and Electrical Installations


McNeil, J. G., Lattimer, B. Y. (2016). Robotic Fire Suppression Through Autonomous Feedback Control. Fire Technology, 53 (3), 1171–1199. doi:

Wu, H. B., Li, Z. J., Ye, J. H., Ma, S. C., Li, J. W., Yang, X. N. (2016). Firefighting robot with video full-closed loop control. International Journal of Safety and Security Engineering, 6 (2), 254–269. doi:

Zhang, M., Liu, X., Wang, X., Wang, Y., Liang, W. (2019). Fire Water Monitor Trajectories Based on Turbulence Breakup Model. Journal of Testing and Evaluation, 48 (6), 20180428. doi:

Trettel, B., Ezekoye, O. A. (2015). Theoretical Range and Trajectory of a Water Jet. Volume 7A: Fluids Engineering Systems and Technologies. doi:

McNeil, J. G., Lattimer, B. Y. (2016). Autonomous Fire Suppression System for Use in High and Low Visibility Environments by Visual Servoing. Fire Technology, 52 (5), 1343–1368. doi:

Zhu, J., Li, W., Lin, D., Zhao, G. (2018). Study on Water Jet Trajectory Model of Fire Monitor Based on Simulation and Experiment. Fire Technology, 55 (3), 773–787. doi:

Chong, W., Hu, Y., Yuan, D., Ma, Y. (2016). Jet Trajectory Recognition Based on Dark Channel Prior. Intelligent Visual Surveillance, 147–153. doi:

Zhang, C., Zhang, R., Dai, Z., He, B., Yao, Y. (2019). Prediction model for the water jet falling point in fire extinguishing based on a GA-BP neural network. PLOS ONE, 14 (9), e0221729. doi:

Comiskey, P. M., Yarin, A. L. (2018). Friction coefficient of an intact free liquid jet moving in air. Experiments in Fluids, 59 (4). doi:

Xin, Y., Thumuluru, S., Jiang, F., Yin, R., Yao, B., Zhang, K., Liu, B. (2013). An Experimental Study of Automatic Water Cannon Systems for Fire Protection of Large Open Spaces. Fire Technology, 50 (2), 233–248. doi:

Liu, X., Wang, J., Li, B., Li, W. (2019). Experimental study on jet flow characteristics of fire water monitor. The Journal of Engineering, 2019 (13), 150–154. doi:

Miyashita, T., Sugawa, O., Imamura, T., Kamiya, K., Kawaguchi, Y. (2014). Modeling and analysis of water discharge trajectory with large capacity monitor. Fire Safety Journal, 63, 1–8. doi:

Gałaj, J., Drzymała, T., Šukys, R., Tofiło, P. (2018). A computer model designed to evaluate the firefighting effectiveness of solid jet produced by water nozzle. Journal of Civil Engineering and Management, 24 (1), 1–10. doi:

Abramov, Yu. O., Sobyna, V. O., Kryvtsova, V. I., Tyshchenko, Ye. O., Sokolov, D. A. (2018). Pat. No. 133256 UA. Sposib hasinnia pozhezhi mobilnym pozhezhnym robotom. No. 201811148; declareted: 12.11.2018; published: 25.03.2019, Bul. No. 6.

Abramov, Yu. O., Basmanov, O. Ye., Salamov, D. O., Tyshchenko, Ye. O. (2017). Pat. No. 122938 UA. Pozhezhnyi monitor. No. 201710046; declareted: 17.10.2017; published: 25.01.2018, Bul. No. 2.

Abramov, Y., Basmanov, O., Salamov, J., Mikhayluk, A., Yashchenko, O. (2019). Developing a model of tank cooling by water jets from hydraulic monitors under conditions of fire. Eastern-European Journal of Enterprise Technologies, 1 (10 (97)), 14–20. doi:

Strelec, V., Senchykhin, Y., Ostapov, K., Sirovoj, V. (2018). Analysis of the process of feeding the gel-forming compositions. Problemy pozharnoy bezopasnosti, 44, 137–147.

Xu, M., Zhang, X., Hu, G., Li, G. (2016). The structure design and flow field simulation of a fire water monitor driven by worm gear with bevel gear. Machine Tool & Hydraulics, 6. Available at:

Zhang, W., Zhu, D. Z. (2015). Far-field properties of aerated water jets in air. International Journal of Multiphase Flow, 76, 158–167. doi:

Hou, Y., Yang, X., Ren, F., Liu, Y. (2018). Structural Analysis and Optimization of Liquid Nitrogen Fire Monitor Based on FLUENT. Proceedings of the 2018 3rd International Conference on Electrical, Automation and Mechanical Engineering (EAME 2018). doi:

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How to Cite
Abramov, Y., Basmanov, O., Krivtsova, V., & Khyzhnyak, A. (2020). ESTIMATING THE INFLUENCE OF THE WIND EXPOSURE ON THE MOTION OF AN EXTINGUISHING SUBSTANCE. EUREKA: Physics and Engineering, (5), 51-59.

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