Modeling of spilling and extinguishing of burning fuel on horizontal surface

Abramov, Yu.O.; Basmanov, Oleksii; Kryvtsova, V.; Salamov, J.

doi:10.29202/nvngu/2019-4/16

Cited by 6 publications

(4 citation statements)

References 10 publications

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“…The proposed method could be used to take into consideration the impregnation in the model of liquid spreading on the ground [15] and the combustion model of the spill of combustible liquid [19]. Taking into consideration the impregnation of liquid into the soil during its spreading and combustion makes it possible to refine the thermal effect of fire on steel and concrete structures [20].…”

Section: Discussion Of Research Results To Substantiate the Methods F...mentioning

confidence: 99%

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Justifying the experimental method for determining the parameters of liquid infiltration in bulk material

Abramov

Basmanov

Oliinik

et al. 2022

EEJET

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The object of this study is the process of impregnation of liquid into the bulk material, in particular, into the soil. Determining the impregnation parameters is a relevant task when assessing the consequences of an emergency spill of a hazardous liquid. Infiltration of liquid into the soil leads to pollution of water resources. However, the greatest danger is the ignition of the spill of a combustible liquid. Based on the Green-Ampt model, a mathematical description of the impregnation of liquid into bulk material was built. It is a system of two ordinary differential equations of the first order, one of which describes the reduction of the thickness of the liquid layer on the surface, and the other describes the dynamics of the impregnation of liquid into depth. The solution to the system was derived in the form of time dependence on the depth of impregnation. An experimental study was conducted on the example of impregnation of crude oil in the sand. To this end, sand was poured into a vertical measuring glass cylinder. After that, the liquid was poured and a video recording of the impregnation process was carried out. By processing the video recording, the depth of impregnation and the corresponding time were determined. The results of the study show that the relationship between the thickness of the liquid layer on the surface of the sand and the depth of impregnation is linear in nature: the relative deviation of linear approximation from experimental data does not exceed 3.5. By expanding the logarithmic function contained in the solution to the system of differential equations into the Taylor series, a polynomial dependence of time on the depth of impregnation was established. To determine the coefficients of the polynomial based on the experimental data, the least squares method was used. In this case, the approximation error after the first minute after spilling does not exceed 10 %. The proposed method could be used to account for seepage in the model of liquid spreading on the ground and the burning model of a flammable liquid spill

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Section: Discussion Of Research Results To Substantiate the Methods F...mentioning

confidence: 99%

“…One of the common methods for modeling the spread of liquid over a horizontal surface is the use of the principle of gravitational spreading of a cylindrical layer of liquid [15]. The analysis of models of liquid spreading on a solid surface is reported in [16].…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Justifying the experimental method for determining the parameters of liquid infiltration in bulk material

Abramov

Basmanov

Oliinik

et al. 2022

EEJET

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“…The obtained differential equation contains the coefficient of kinematic viscosity, which significantly depends on the temperature of the air flow. The flow temperature is non-linearly rela ted to its velocity (14). Such a dependence makes it impossible to analytically solve the differential equation (10).…”

Section: Resultsmentioning

confidence: 99%

“…In [13], a combustion model for a multicomponent hydrocarbon mixture was constructed, but the heat flux from the flame is not considered in it. In [14], a model was constructed for the spreading and combustion of a combustible liquid on a horizontal surface. In [15], the thermal effect of a fire on steel structures was considered, but the dynamics of changes in the parameters of the combustion source was left without attention.…”

Section: Introductionmentioning

confidence: 99%

Modeling the convective component of the heat flow from a spill fire at railway accidence

et al. 2022

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A significant number of emergencies that occur in the chemical, processing and transport industries begin with an accidental spill and ignition of a flammable liquid. In this case, the spread of fire to neighboring objects is of particular danger. When developing fire protection measures in areas where flammable liquids are stored, as a rule, heat transfer from a fire only by radiation is taken into account. But in some cases, the convection component of the heat flow can make a significant contribution to the overall heat transfer. Ignoring it can lead to an erroneous assessment of the safety of an industrial facility. In the paper, a model of the distribution of velocity and temperature in the upward flow, rising above the spill of a burning liquid, is constructed. The model is based on the system of Navier-Stokes equations, which, by means of simplifications, is reduced to a non-linear second-order differential equation of the parabolic type. The properties of the combustion site determine the boundary conditions of the first kind. In this case, the spill of a flammable liquid can have any shape. The presence of wind is taken into account by introducing a stable horizontal component of the flow velocity. For the numerical solution of the equation, the method of completed differences is used. The dependence of the kinematic viscosity on the flow temperature is taken into account. An empirical formula is used as the relationship between temperature and speed. It is shown that the presence of wind leads to an inclination of the ascending flow. The angle of inclination is not constant and increases with distance from the combustion source due to a decrease in speed and cooling of the flow. An estimate of the coefficient of convection heat transfer convection of the tank wall with ascending flows over the combustion source is constructed. It is shown that the coefficient of convection heat transfer increases with increasing wind speed

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Моделювання Розтікання Горючої Рідини Внаслідок Аварії На Залізничному Транспорті

Abramov

Basmanov

Oliinik

2021

PES

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Розглянуто прогнозування наслідків надзвичайних ситуацій, обумовлених розливом горючих рідин на залізничному транспорті шляхом побудови математичних моделей динаміки розтікання горючої рідини та її просочення вглибину ґрунту. Побудовано математичну модель, що складається із системи двох диференціальних рівнянь, перше з яких є рівнянням параболічного типу і описує динаміку зміни висоти шару рідини з часом. Друге описує глибину просочення рідини в ґрунт. Показано, що просочення рідини вглиб підстилаючої поверхні істотно впливає на динаміку її розтікання і має бути враховано для правильної оцінки наслідків надзвичайної ситуації, викликаної пошкодженням цистерни з горючої рідиною. Для випадку миттєвого руйнування ємності з рідиною система рівнянь доповнюється початковими умовами, що містять особливість у вигляді -функції у точці розливу. Показано, що математична модель поступового витікання рідини із пошкодженої ємності може бути отримана шляхом введення в диференціальне рівняння доданку, що описує джерело витікання рідини. Запропоновано метод оцінки параметрів моделі просочення рідини вглиб ґрунту, який базується на вимірюванні глибини просочення в певні моменти часу і пошуку таких значень показника капілярності, гідравлічної провідності і пористості ґрунту, які забезпечують мінімальне відхилення розрахованої глибини просочення від експериментально визначеної. При цьому для визначення розрахункової глибини використовується аналітичний розв’язок рівняння просочення рідини, а в якості критерію – мінімум суми квадратів відхилень. Побудовані моделі можуть бути використані при прогнозуванні наслідків теплового впливу пожежі розливу горючої рідини на рухомий склад та технологічні споруди залізниці

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Modeling of spilling and extinguishing of burning fuel on horizontal surface

Cited by 6 publications

References 10 publications

Justifying the experimental method for determining the parameters of liquid infiltration in bulk material

Justifying the experimental method for determining the parameters of liquid infiltration in bulk material

Modeling the convective component of the heat flow from a spill fire at railway accidence

Моделювання Розтікання Горючої Рідини Внаслідок Аварії На Залізничному Транспорті

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