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V. Oliinik, O. Basmanov. Model of spreading and burning the liquid on the soil. 18-30.

 

Model of spreading and burning the liquid on the soil

 

Volodymyr Oliinik

National University of Civil Defenсe of Ukraine

http://orcid.org/0000-0002-5193-1775

 

Oleksii Basmanov

National University of Civil Defenсe of Ukraine

http://orcid.org/0000-0002-6434-6575

 

DOI: https://doi.org/10.52363/2524-0226-2023-37-2

 

Keywords: liquid spreading, spill fire, liquid infiltration, Green-Ampt model

 

Аnnotation

The object of research is the process of liquid spreading and burning on the ground. A mathematical model of liquid spreading on an inclined surface has been constructed. The model is a system of equations. The first one is a parabolic differential equation that describes the change of the spill area and the thickness of the liquid layer at each point of the area. The second equation is an ordinary differential equation that corresponds to the depth of liquid infiltration into the soil. It is assumed that the process of liquid infiltration into the soil is described by the Green-Ampt model. Its feature is the idea about boundary between wetted and dry soil. Under the influence of liquid pressure above the ground surface and capillary forces the boundary moves deep into the soil. The rate of infiltration is determined by the hydraulic conductivity of the wetted soil, soil porosity and suction head. These parameters depend on the soil conditions and the type of liquid and must be determined experimentally. The liquid spreading model takes into account surface roughness by introducing a term in the differential equation of fluid spread that contains the average depth of surface roughness. The necessity to fill these irregularities determines the area of the spill. Burnout of the liquid leads to a decrease in the spill area. The initial conditions are determined by the type of the liquid spreading: instantaneous or continuous. The instantaneous spill occurs in the case of a catastrophic destruction of the container. The continuous one occurs in the case of damaging the container or pipeline. In this case the volume of the spilled liquid gradually increases. In the case of continuous liquid spilling the differential equation of liquid flow contains a term with a δ-function. In the case of an instantaneous spill, the initial conditions contain δ-function. The obtained results can be used to determine the heat flow from the spill fire and the thermal effect of the fire on adjacent technological objects.

 

References

 

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