Y. Klyuchka, D. Doroshenko. Мathematical model of heating of propane-butane gas cylinders in residential buildings. Р. 194-208.

Мathematical model of heating of propane-butane gas cylinders in residential buildings

 

Klyuchka Yurii

National University of Urban Economy named by O.M. Beketov

http://orcid.org/0000-0003-1066-4217

 

Doroshenko Daria

National University of Civil Protection of Ukraine

http://orcid.org/0000-0003-4222-9359

 

DOI: https://doi.org/10.52363/2524-0226-2025-41-13

 

Keywords: propane-butane, heating, unsteady heat conduction, explosion, cylinder, emergency

 

Аnnotation

 

This study investigates propane-butane gas cylinders and develops a mathematical model to predict the behavior of such systems under thermal influence. In the first stage, it was established that the share of heat required for gas heating ranges from 0.73 to 0.8, and the cylinder material can absorb from 20% to 100% of the heat, which significantly affects the heating dynamics. For cylinders with volumes of 12.7 and 26.2 liters, only at fill ratios of 0.24 and 0.36, respectively, does the amount of heat required for gas heating exceed the amount for cylinder heating. These results indicate a significant contribution of the cylinder material itself to heat absorption during cylinder heating. The second stage addresses the urgent safety problem of residential and industrial facilities caused by the widespread use of propane-butane, which is a highly flammable and explosive substance. Attention is paid to the risks associated with heating propane-butane cylinders, which can lead to increased pressure and depressurization, causing an explosion according to the BLEVE (Boiling Liquid Expanding Vapour Explosion) scenario. The necessity of developing a mathematical model is substantiated, which would allow predicting the change in the temperature regime of cylinder components (walls, liquid, and gas) and the pressure of propane-butane within it in real-time under the influence of external factors, taking into account complex heat exchange processes. The developed model is based on the unsteady heat conduction equation for the cylinder body with third-kind boundary conditions on the outer and inner walls of the cylinder. The model construction considers the properties of the cylinder material (thermal conductivity, heat capacity, density, thermal expansion coefficient), its geometry (surface area, wall thickness, shape), etc. The obtained model will subsequently allow evaluating the temperature distribution in the cylinder wall, predicting critical values leading to failure and possible explosion.

 

References

 

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