MATHEMATICAL MODEL FOR CALCULATING THE DISPERSION FLOW RATE OF DECONTAMINATION SOLUTIONS FOR CHEMICAL AND RADIOLOGICAL AGENTS WHEN SPRAYED FROM NOZZLES
DOI:
https://doi.org/10.17770/etr2025vol4.8425Keywords:
decontamination, fluid dispersion, CBRN devices, dynamic properties of the fluid, spraying systemsAbstract
The mathematical model for calculating the flow rate of fluids when dispersed from nozzles is based on the principles of fluid mechanics, using equations for the velocity of the fluid and the effects of nozzle diameter, pressure, and the dynamic properties of the fluid (density, viscosity). The model includes calculations of the flow rate based on the theoretical exit velocity from the nozzle, along with corrections for pressure losses associated with friction and turbulence. The Reynolds number is used to assess the flow characteristics (laminar or turbulent), which is crucial for optimizing the fluid dispersion. In MATLAB, various plots are generated to show the dependencies between the flow rate, nozzle diameter, and pressure, enabling a deeper understanding of the fluid behaviour during dispersion. The model is applicable to different types of fluids, including solutions with surfactants and hypochlorites, used for disinfection purposes.
References
N. Dolchinkov, "Construction of a system for monitoring the pollution of water bodies with waste," Environment. Technology. Resources., Rezekne, Latvia, Proc. 15th Int. Sci. Pract. Conf., vol. 1, pp. 136–141, 2024. DOI: https://doi.org/10.17770/etr2024vol1.7989
N. Dolchinkov, N. Nichev, and Y. Boyanova, "Uranium mines in Bulgaria - Analysis of the state 30 years after their closure," Environment. Technology. Resources., Proc. 15th Int. Sci. Pract. Conf., vol. 1, pp. 123–129, 2024. DOI: https://doi.org/10.17770/etr2024vol1.8002
S. Vambol, M. Alqahtani, N. Dolchinkov, M. Ilyas, S. Yeremenko, V. Sydorenko, and O. Dzhulai, "Investigation of the transfer radioactive contamination from the Chernobyl zone and its impact on radiation in the environment," Ecological Engineering & Environmental Technology, vol. 25, no. 12, pp. 70–84, 2024. DOI: https://doi.org/10.12912/27197050/193261
N. Tonchev, V. Georgiev, N. Hristov, and Y. Kirilov, "Characterization of the 'determination by displacement' approach – defmot with an emphasis on the analysis of multifactorial models," Academic Journal, vol. 12, no. 1, 2023.
N. Tontchev and St. Ivanov, "Madmml - visual multiple criteria approach and decision support system," Transport `05, vol. 19–23, 2005.
P. Koprinkova-Hristova and N. Tontchev, "Echo State Networks for multi-dimensional data clustering," in Artificial Neural Networks and Machine Learning – ICANN ’12, 2012, pp. 571–578.
I. Minevski, Risk in the Transportation of Dangerous Goods by Land Transport, V.T.: Publishing House of the National University of the Republic of Bulgaria, 2018. ISBN: 978-954-753-271-7
N. Tontchev and E. Yankov, "Multi-criteria support for decision-making by shifting restrictions," Int. Sci. Conf. Mathematical Modeling, no. 1, 2017.
Н. Николов, „RDD – мръсни бомби“, Сборник доклади от Годишна университетска научна конференция, том 4, НВУ „В. Левски“, 2021, с. 193–197.
R. Marinov, "Model of management of processes and phenomena’s in the military security system," Environment. Technology. Resources., Proc. 15th Int. Sci. Pract. Conf., vol. IV, pp. 173–177, 2024. DOI: https://doi.org/10.17770/etr2024vol4.8188
Innovative Technologies for Cleaning the Environment: Air, Water and Soil, 14th Int. Seminar on Nuclear War and Planetary Emergencies. World Scientific Publishing, 1993.
Technological Innovations in Sensing and Detection of Chemical, Biological, Radiological, Nuclear Threats and Ecological Terrorism. Netherlands: Springer Netherlands, 2012.
Functional Nanostructures and Sensors for CBRN Defence and Environmental Safety and Security. Netherlands: Springer Netherlands, 2020.
F. Sabath, CBRN Protection: Managing the Threat of Chemical, Biological, Radioactive and Nuclear Weapons. Germany: Wiley-VCH, 2013.
P. K. Kundu and I. M. Cohen, Fluid Mechanics, 4th ed. Elsevier Academic Press, 2004.
O. Reynolds, "On the dynamical similarity of flow in tubes and the criteria for the transition between laminar and turbulent flow," Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1883, pp. 935–982.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Nikolay Padarev
This work is licensed under a Creative Commons Attribution 4.0 International License.