Scientific Journal Problems of Emergency Situations - O. Basmanov, D. Karpova, Ye. Morshch, S. Harbuz, V. Benediuk, O. Zazymko. Modeling of heat flow from burning oil tanks. P. 32-49.

A model was developed to determine the density of heat flux by radiation from a fire in a vertical steel tank with an oil product. The model takes into account the deformation of the flame under the in fluence of wind: the tilt of the flame axis and the expansion of its base to leeward. The proposed ap proach is based on the known empirical dependencies of the flame length and the angle of its deviation from the vertical axis depending on wind speed, specific mass burn rate of the liquid, and tank diameter. These dependencies are used to determine the flame length at an arbitrary point on the flame base. This makes it possible to construct the equation of the radiating surface of the flame in a parametric form. The resulting surface has a conical shape with an elliptical base extended beyond the tank from the lee ward side. The relative expansion of the flame base outside the tank increases with the wind speed and decreases with the diameter of the tank. An algorithm for calculating the heat flux density by radiation from a flame to an arbitrary site given by spatial coordinates and a normal vector has been developed. The algorithm uses the coverage of the flame base with a regular grid, followed by the application of numerical differentiation methods to determine the normal vector to the radiating surface of the flame and numerical integration methods to estimate the view factor between the flame and the site heated by the fire. It is shown that the expansion of the tank base leads to a significant increase in the heat flux density on the leeward side of the tank. The results obtained can be used to determine the consequences of the thermal impact of the fire on neighboring oil tanks and other process equipment, as well as to determine the safe location zones for equipment and personnel involved in localizing and eliminating the fire.

References

NAPB 05.035 – 2004. Instruction on extinguishing fires in tanks with oil and oil products.
Landucci, G., Salzano, E., Taveau, J., Spadoni, G., Cozzani, V. (2013). De tailed studies of domino scenarios. Domino effects in the process industries, 229–243. doi: 10.1016/B978-0-444-54323-3.00011-7
Nizhnyk, V. V., Klymas, R. V., Odynets, A. V. (2022). Extinguishing fires at oil and oil product warehouses under combat conditions. Theory and practice of fire ex tinguishing and emergency situations: Proceedings of the XIII International Scientific and Practical Conference, 30–32.
Analytical report on fires and their consequences in Ukraine for 2 months of 2024. Available at: https://idundcz.dsns.gov.ua/upload/2/0/6/1/9/6/1/analitychna dovidka-pro-pojeji-022024.pdf
Hulida, E. M., Kozak, Y. Y. (2020). Ensuring fire safety in oil and oil products storage tank parks. Bulletin of the Prydniprovska State Academy of Civil Engineering and Architecture, 6, 69. doi: 10.30838/J.BPSACEA.2312.241120.69.700
Ferents, N. O., Vovk, S. Ya., Miller, O. V. (2017). Analysis of emergency situ ations and accidents in oil and oil product storage tank parks. In Y. Ya. Kozak (Ed.), Fire safety, 31, 125–129. Available at: http://nbuv.gov.ua/UJRN/Pb_2017_31_20
Dominik, A. M., Nahirniak, Yu. M., Freyuk, D. V. (2024). Analysis of studies of the negative impact of thermal flow from the fire source on surrounding objects. Fire Safety, 45, 39–45. doi: 10.32447/20786662.45.2024.05
Babadjanova, O. F. (2019). Analysis of the development of accidents at the oil depot. In Theory and practice of firefighting and emergency situation liquidation: Mate rials of the 10th International Scientific and Practical Conference, 173–174. Available at: https://sci.ldubgd.edu.ua/bitstream/123456789/6503/1/3.pdf
Boichenko, S. V., Kalmykova, N. G. (2020). Causal relationship between hy drocarbon emissions and gasoline losses in horizontal tanks. Science-Intensive Tech nologies, 2, 218–235. doi: 10.18372/2310-5461.46.14810
Serikova, O. M. (2023). Improving the level of environmental safety in areas adjacent to liquid hydrocarbon storage tanks. Technogenic and Environmental Safety, 14(2), 50–57. doi: 10.52363/2522-1892.2023.2.6
Khatkova, L., Dagil, V., Dagil, I. (2022). Quantitative risk assessment of fire occurrence in oil and oil product tanks due to the spontaneous ignition of pyrophoric deposits. Emergencies: Prevention and Elimination, 6(2), 101–108. doi: 10.31731/2524.2636.2022.6.2.101-107
Savinovska, V. I., Fedolyak, N. V., Lialyuk-Viter, H. D. (2024). On the issue of ensuring fire safety of high-risk objects in wartime conditions. In Proceedings of the V International Scientific and Practical Internet Conference, 197–200.
Liu, C., Ding, L., Jangi, M., Ji, J., Yu, L., Wan, H. (2020). Experimental study of the effect of ullage height on flame characteristics of pool fires. Combustion and Flame, 216, 245–255. doi: 10.1016/j.combustflame.2020.03.009
Xu, L., Lu, Y., Ding, C., Guo, H., Liu, J., Zhao, Y. (2022). A generic flame shape model and analytical models for geometric view factor calculation on the fire ex posure surface. International Journal of Thermal Sciences, 173, 107392. doi: 10.1016/j.ijthermalsci.2021.107392
Fleury, R. (2011). Evaluation of Thermal Radiation Models for Fire Spread Between Objects. Proceedings, Fire and Evacuation Modeling Technical Conference. doi: 10.26021/1472
Sasaki, K. (2024). View factor of a spheroid and an ellipse from a plate ele ment. Journal of Quantitative Spectroscopy and Radiative Transfer, 326, 109102. doi: 10.1016/j.jqsrt.2024.109102
Pritchard, M. J., Binding, T. M. (1992). FIRE2: A New Approach for Predict ing Thermal Radiation Levels from Hydrocarbon Pool Fires. IChemE Symposium, 130, 491–505.