This work considers the process of dust pollution of the air at an industrial site when using a protective perforated screen. The removal of dust from contaminated land surfaces in areas where there are coal storage facilities leads to intensive air pollution in working areas. This poses a threat to the health of workers. Therefore, for practice, an important solution is to reduce the level of dust pollution of the air at industrial sites. A likely engineering solution to such a task is to use protective screens, in particular, protective screens with perforations. These screens reduce the speed of the oncoming wind flow, which, in turn, reduces the intensity of dust formation. The location of the screens at an industrial site is important. A laboratory experiment was conducted to determine the patterns of air flow velocity distribution behind a protective screen with perforations. The experimental data showed that the screen makes it possible to reduce the wind flow velocity by 5–6 times over an extension of the order of 2H from the screen (H is the height of the screen). The air flow velocity increases intensively behind the screen in the area 2H–4H. These results make it possible to determine the rational location of the screen relative to the dust formation area. For theoretical assessment of the effectiveness of these screens, a numerical model was built based on the fundamental equations of continuum mechanics. The modeling equations include the dust mass transfer equation and the potential motion equation. Using the constructed numerical model, a computational experiment was conducted, which confirmed the effectiveness of using perforated protective screens: the area of dust air pollution in height decreased almost 3 times. The cost of computer time for conducting a computational experiment is 2 seconds. This makes it possible, when carrying out design work, to perform a series of calculations in a short period of time

This study investigates the sequential and continuous formation of thermal fields in the main fairing of a launch vehicle when using protective screens. While thermostating, it is necessary to predict the risk in overheating the payload body and, if necessary, take measures to reduce the temperature near the payload. An engineering solution to this problem can be found through the use of protective screens of various configurations inside the main fairing. These screens reduce the heat flow from the heated outer wall of the fairing to the payload surface. However, there are no standard methods for solving this problem. To evaluate the effectiveness of this protection, a numerical model based on the fundamental equations of continuum mechanics has been constructed. The modeling equations include the energy equation and the equation of motion of a non-viscous gas. Using the numerical model built, a computational experiment was conducted, which confirmed the effectiveness of using protective screens to shield the payload body from excessive heating. The computer time required to perform the computational experiment is 3 seconds. This makes it possible to perform a significant number of calculations in a working day. The proposed simple technical means for protecting the payload from excessive heating could be used in the design of new models for rocket technology. Applying these screens slightly reduces the need for large volumes of clean air. The numerical model built could be used at specialized organizations at the “for-sketch” design stage. Numerical experiments have shown that the use of protective screens inside the main fairing makes it possible to achieve a temperature 2–4°C lower than the maximum permissible temperature near the payload

Purpose. The problem of accidental contamination of workspaces attracts special attention, since in the event of such extreme situations, intense chemical contamination of the air in work areas occurs. This poses a threat of toxic exposure to workers. When assessing the consequences of such situations, it is necessary to take into account the time factor, in particular, to quickly determine the creation of concentrations of chemically hazardous substances. In this regard, an urgent task is to develop effective mathematical models for rapid assessment of the consequences of extreme situations in the working areas of chemically hazardous facilities. The paper considers a CFD model for analyzing the process of chemical air pollution in a workspace during an accidental release of a chemically hazardous substance. The solution of the problem is based on the numerical integration of the fundamental equations of continuum mechanics. Methodology. To calculate the air velocity field in the working room during the operation of supply and exhaust ventilation, a mathematical model of the motion of an inviscid fluid was used. The equation of convective diffusion motion was used to calculate the concentration of a chemically hazardous substance in the workspace. The integration of the modeling equations was carried out using finite difference schemes. Findings. A dynamic model has been created to calculate the spread of a chemically hazardous substance in a workspace. On the basis of the built CFD model, a computer program was created to conduct a computational experiment. Originality. A CFD model has been created to predict the level of air pollution in a workspace in the event of toxic gas emissions. The model is based on the fundamental equations of aerodynamic mechanics and mass transfer. The model makes it possible to determine the effect of the ventilation mode, the intensity of emission of a chemically hazardous substance, the location of equipment in the workspace, and the dynamics of the formation of concentration fields. Practical value. The developed CFD model can be used to quickly analyze the consequences of accidental emissions of a chemically hazardous substance in a workplace and assess the risk of toxic exposure of workers.

Problem statement. Industrial sites where coal storages are located are intensive sources of dust pollution of the environment. There is an important problem of assessing the intensity of dust removal into the atmospheric air from polluted areas. Knowledge of the intensity of dust removal into the atmospheric air makes it possible to scientifically assess the impact of contaminated sites on the pollution of the environment and work zones at industrial sites. The solution to this problem can be obtained experimentally. The purpose of the article. An experimental study of the value of the air flow velocity at which the detachment of dust particles from the surface with coal begins and their removal into the air and the determination of the intensity of the emission of coal dust from the contaminated surface. Methodology. The intensity of removal of coal dust from the contaminated area was studied experimentally in laboratory conditions. The research was conducted on coal samples from DTEK “Pavlohradvuhillya”, grade “ДГ. During the research, the velocity of the air flow at which the process of movement of dust particles along the emission source began and the velocity of “detachment” of dust particles and their removal from the emission source were determined. At the second stage of experimental research, the intensity of removal of coal dust from the polluted area was determined. Scientific novelty. The values of the air velocity at which the removal of coal dust particles from the contaminated area begins were determined experimentally. The regularity of the intensity of the removal of coal dust depending on the velocity of the air flow over the contaminated area was obtained. Practical significance. The obtained experimental data make it possible to determine under which weather conditions there is a risk of dust formation and the removal of dust into the atmosphere. The empirical dependence obtained by processing experimental data can be used for a scientifically based assessment of the level of pollution of working areas at industrial sites where there are coal storage facilities. Conclusions. The value of the velocity of the air flow at which the movement of dust particles on the contaminated surface begins, as well as the value of the velocity of the air flow at which the removal of dust particles into the air begins, was determined experimentally. The resulting empirical model can be used to estimate environmental damage due to dust pollution of atmospheric air.

Despite the fact that much attention is paid to the safe operation of nuclear power plants, there is a possibility of an accident with the release of radionuclides. This is especially true in Ukraine, where there is a threat of the damage to nuclear reactors as a result of military operations. It is impossible to research the distribution of products emergency releases radioactive substances in laboratory conditions. Therefore, the only tool for the development predicting of an accident is the modeling the spread of a radionuclides cloud. The purpose of the research is a modeling the distribution of emergency release products in a nuclear power plant unit, suitable for the operative assessment of a development an accident. Results of the research: The mathematical model of the distribution emission products of a nuclear power plant has been developed, which takes into account the value of the initial activity of emission products, the rate of the settling radioactive particles, the wind speed components, the intensity changes radionuclide emission over time. The technique for solving the boundary value problem of modeling in conditions of a complex shape of the computational domain, taking into account the presence of obstacles to the spread of emission products has been developed. The use of the velocity potential equation in evolutionary form allows us to speed up the calculation process. The chosen splitting scheme of an alternating-triangular method allows to find the speed potential according to the explicit form at each splitting step. This allowed software implementation of the CFD model. The visualized models of the emission cloud distribution allow to determine the radiation situation in any place of the emission product distribution zone. The developed model makes it possible to quickly predict the development of an accident in space and time, which makes it possible to take measures to protect people from exposure in the shortest possible time. Conclusions: The obtained emission cloud propagation models and their visualization make it possible to determine the state of environmental pollution under various initial conditions during the development of the accident.

Problem statement. The task of forecasting damage zones under various types of man-made load in the event of an extreme situation at a gas station is considered. Comprehensive forecasting includes the determination of areas of chemical, thermal and mechanical contamination in the event of an extreme situation at a gas station. The purpose of the article. Development of a theoretical toolkit and a package of programs for complex forecasting of chemical, thermal and chemical environmental pollution zones in the event of an extreme situation at a gas station. Methodology. Forecasting of zones of chemical, thermal and mechanical pollution of the environment in the event of an extreme situation at a gas station uses the fundamental equations of the mechanics of a solid environment: the mass transfer equation is used to calculate zones of chemical pollution; the energy equation is used to determine the zones of thermal pollution of the atmospheric air; Newton's second law is used to calculate mechanical contamination zones. Integration of modeling equations is carried out numerically. A specialized package of programs for comprehensive forecasting of environmental pollution has been created. Scientific novelty. A specialized package of programs based on developed numerical models is proposed for the assessment of chemical, thermal and mechanical pollution zones that arise in the event of an extreme situation at a gas station. On the basis of the developed numerical models, an assessment of complex environmental pollution during an extreme situation at a gas station in the city of Dnipro was carried out. Practical significance. The developed numerical models are implemented in the form of a package of application programs with a wide working range. The program package is focused on solving problems in the field of environmental safety and occupational health and safety. Determining the zones of chemical, thermal and mechanical pollution of the environment with the help of the developed program package will be important in the development of the plan for localization and liquidation of emergency situations and accidents. Conclusions. An effective tool for theoretical analysis of pollution zones formed during an extreme situation at gas stations has been created. The results of computational experiments are presented.

The paper presents data on the current state of waste storage facilities of mining and processing plants in Kryvyi Rih. They are complex, environmentally hazardous hydraulic structures. When assessing the extent of dust pollution from tailing ponds, it is extremely important to know the intensity of dust emissions from the surface of the alluvium beach. This parameter is the basic one in all prognostic models used to predict environmental pollution. The paper presents the results of experimental studies to determine the wind speed at which the removal of dry dust particles from the surface of the beach of a tailing pond begins, as well as the intensity of dust removal from the surface of the beach for dry sand and wet sand. The experimental studies conducted in the laboratory allowed obtaining data on the intensity of dust emission from the surface of the tailing dump beach. The results obtained by the authors make it possible to more accurately assess the degree of environmental dustiness using predictive models..he data on determining the intensity of dust formation for sand of different moisture content will be useful for determining the effectiveness of dust suppression by supplying water to the beach surface.

Problem statement. The development and practical use of a numerical model for the analysis of the process of air pollution in the workplace during an emergency leak of a toxic substance is considered. The purpose of the article. Creation of numerical models of aerodynamics and mass transfer of the non-stationary process of the spread of a toxic substance in the workplace. Methodology. Modeling of the spread of a toxic substance during the operation of emergency ventilation is carried out on the basis of the Laplace equation for the velocity potential and the mass transfer equation, which takes into account the convective and diffusive transport of the toxic substance. Numerical integration of the modeling equations of the mechanics of a solid medium is carried out using finite-difference schemes using the labeling method. Scientific novelty. A numerical model was created for forecasting the level of air pollution in the working room due to the emission of toxic gas. The model is based on the numerical integration of the fundamental equations of solid medium mechanics. A feature of the numerical model is the consideration of the main physical factors that affect the spread of toxic gas in the room (the presence of equipment in the room, the position of the ventilation holes, the cities of emission of the toxic substance, etc.) and the speed of calculation. Practical significance. The developed numerical model can be used for the scientific substantiation of emergency ventilation parameters for workplaces where the emission of toxic substances is possible. Conclusions. A dynamic multifactorial numerical model was developed to analyze and forecast the process of chemical contamination of the workplace. A feature of the numerical model is the possibility to take into account the main physical factors affecting the formation of pollution areas in the workplace. The developed numerical model can be used for scientific substantiation of emergency ventilation parameters for rapid reduction of the concentration of toxic (or explosive) substance in the working room.

Problem statement. The task of assessing the risk of damage to an oil storage facility by debris in the event of a drone explosion is considered. An analysis of the debris movement velocity and the effectiveness of the use of a protective barrier to stop the debris movement in the direction of the oil storage facility is carried out. The purpose of the article. Assessment of the risk of damage to the oil storage wall and the effectiveness of the use of a protective barrier against the throwing action of debris during a drone explosion. Methodology. A numerical model based on the integration of the equation of a material point motion and an empirical model is used to analyze the risk of damage to an oil storage facility when the debris of a drone flies off. The developed numerical model takes into account the initial velocity and size of the debris, the direction of the debris movement, and the height of the debris ejection. On the basis of this numerical model, a computer code was created for conducting a computational experiment. Scientific novelty. An effective mathematical model is developed for analyzing the risk of damage to an oil storage facility from the throwing action of debris generated by a drone explosion. The model makes it possible to determine the effectiveness of using an obstacle to protect an oil storage facility from the throwing action of debris. Practical value. A computer code is developed for calculating the dynamics of the debris movement in the air, which are formed during the explosion of a drone. The use of this code makes it possible to select the rational dimensions of the protective barrier at the industrial site to protect the oil storage from damage. Conclusions. An effective tool for analyzing the risk of damage to an oil storage facility from the throwing action of debris created by a drone explosion is developed. The results of computational experiments are presented.

Purpose. The paper considers the problem of determining the size of the damage zones in the event of an emergency at a railway station due to a tanker fire. The task of forecasting is to determine the zones of thermal pollution, as well as chemical and mechanical pollution. The main objective of the study is to create numerical models for calculating the zones of mechanical and thermal pollution in the event of a fire at a railway station. Methodology. To analyze the size and intensity of zones of thermal, chemical, and mechanical environmental pollution in the event of an extreme situation at a railway station, we used the equations of heat and mass transfer and Newton's second law for modeling mechanical environmental pollution. To solve the equations, numerical methods such as Euler's method and finite difference schemes were used. On the basis of the developed numerical models, a computer code was created to conduct a computational experiment. Findings. Modern computer models for assessing the zones of chemical, thermal, and mechanical pollution in the event of an extreme situation have been developed. The results of computer modeling are presented. Originality. A set of numerical models for computer simulation of heat and mass transfer processes and dynamics of point motion has been created, which allows conducting a computational experiment to determine the contamination zones during a fire at a railway station. Practical value. A computer code was developed on the basis of the created mathematical models. This code is a tool for solving important problems in the field of environmental safety and civil protection. The computer code makes it possible to quickly determine the intensity and size of environmental pollution zones in the event of an extreme situation.

The task of assessing the areas of chemical pollution near the highway, where protective screens of different geometric shapes are located, is considered. The purpose of the work is to develop numerical models for calculating pollution zones formed near protective screens, as well as conducting a laboratory experiment to analyze the patterns of formation of pollution zones near screens of a complex geometric shape. For mathematical modeling of the process of formation of pollution zones near the protective screen, the equation of convective-diffusion transfer of impurities is used. This equation takes into account atmospheric diffusion, wind speed, emission intensity of a chemically hazardous substance, the location of the emission source, and the shape of the protective screen. The Navier-Stokes equation and the Laplace equation for the velocity potential are used to solve the problem of aerodynamics. Finite-difference methods are used for numerical integration of modeling equations. A package of application programs was created on the basis of the developed numerical models. Numerical models and a package of programs have been built, allowing to study the process of the formation of areas of pollution near the highway in almost real time. The results of the computational experiment are presented.

Purpose. During a drone explosion, debris is generated that poses a risk of damage to both humans and objects at an industrial site. Therefore, the main purpose of this study is to evaluate the effectiveness of using gabions with different fillers to reduce the risk of damage to the wall of an oil storage facility by debris generated during a drone explosion at an industrial site, as well as to analyze the value of the out-of-band velocity of the debris. Methodology. A numerical model based on the integration of the equation of motion of a material point was used to analyze the effectiveness of using gabions as protective structures of an oil storage facility during the flying of drone debris. The equations of motion of the debris are based on Newton's second law. This approach makes it possible to determine the unobstructed velocity of the fragment after passing the body of the protective barrier - the gabion. The developed numerical model takes into account the initial velocity of the fragment, its size, direction of movement, ejection height, and the material that fills the gabion body. On the basis of this numerical model, a computer program was created to conduct a computational experiment. Findings. An effective tool has been developed to analyze the risk of damage to the oil storage facility from the metallic impact of debris generated in the event of a drone explosion and to analyze the effectiveness of gabions. The results of computational experiments are presented. Originality. A fast-calculating numerical model has been built for the operational analysis of the efficiency of using gabions with different contents, which are used to protect an oil storage facility at an industrial site from the missile impact of debris generated by a drone explosion. Practical value. A computer program has been developed to calculate the dynamics of debris movement in the air and in the body of the gabion. The use of this program makes it possible to select the rational dimensions of a protective barrier - gabion at an industrial site to protect an oil storage facility from damage.

Coal piles on the territory of enterprises are long-term sources of dust pollution of atmospheric air. Forecasting the level of dust pollution of the air for such objects is carried out, as a rule, for convection conditions. But during inversion, very high concentrations of dust can occur on industrial sites. The task of assessing the level of dust pollution of atmospheric air at an industrial site during dust emission in conditions of inversion from a coal stack is considered. A three-dimensional equation of convective-diffusion dispersion of contamination in atmospheric air, compatible with the approach of Prof. Berliand M. on determining the value of the vertical diffusion coefficient in the surface layer of the atmosphere for the case of inversion, to model dispersion of dust from a coal stack under inversion conditions is used. Numerical integration of the modeling equation of convective-diffusion transport of contamination is carried out on the basis of the splitting method compatible with the use of a locally one-dimensional finite-difference scheme. The results of a computational experiment to determine dust pollution zones at the Prydniprovsk thermal power station are presented.

Problem statement. The task of determining the dynamics of air pollution in the working room when air containing a chemically hazardous substance flows into it is considered. The peculiarity of this problem is that the formation of pollution areas in the room is influenced by many factors, especially the internal geometry (the presence of technological equipment in the room, furniture, etc.). Therefore, it is necessary to have specialized mathematical models that allow predicting the level of chemical air pollution in the room for a given type of pollution. The purpose of the article. Development of a three-dimensional numerical model for indoor air flow aerodynamics and mass transfer of a chemically hazardous substance entering the room through the ventilation system to predict the risk of toxic damage to workers. Methodology. A three-dimensional equation of convective-diffusion transport for a chemically hazardous substance is used to model the process of a chemically hazardous substance spread in the working room air. The air flow velocity field in the working room is calculated on the basis of the model for the incompressible fluid potential motion. For the numerical integration of the Laplace equation for the velocity potential, two finite-difference schemes are used. The splitting method and finite-difference schemes are used for the numerical integration of the three-dimensional mass transfer equation of the impurity. At each splitting step, the determination of the unknown concentration of the impurity is carried out according to an explicit formula. A computer code was created to conduct computational experiments based on the developed numerical model. Scientific novelty. A three-dimensional numerical model has been developed to analyse the dynamics of the formation of chemical air pollution areas in workplaces when impurities enter the premises through the ventilation system. A feature of the model is the consideration of the main physical factors affecting the formation of pollution areas and the calculation speed. Practical value. The numerical model and the computer code developed on its basis allow solving specific problems that arise when assessing the risk of toxic damage to workers at chemically hazardous facilities. Conclusions. An effective three-dimensional numerical model and computer code have been created, which allow predicting the level of chemical contamination of working premises when a toxic substance enters the premises through the ventilation system. The results of the computational experiment are presented.

Problem statement. The task of assessing the level of atmospheric air radioactive contamination in the case of an extreme situation on the territory of the Zaporizhzhya NPP, which leads to an instantaneous radioactive aerosol emission, is considered. An analysis of the dynamics for the zones’ formation of radioactive contamination in the wind direction towards Nikopol is conducted. For the prompt solution of this of this forecast issue, the creation of a multifactorial numerical model is required, which allows for prompt analysis of the size and intensity of radioactive contamination areas. The purpose of the article. Creation of a numerical model and computer code for the operational analysis of radioactive contamination areas formed during the instantaneous release of radioactive pollutants into the atmosphere. Methodology. The computer code is based on a numerical model, which is a differential analogue of the multifactor kinematic equation of mass transfer of a radioactive impurity in atmospheric air. The mass transfer equation takes into account the wind speed field, atmospheric turbulent diffusion, and the intensity of radioactive substances emission into the air. For the numerical integration of the mass transfer equation, the splitting method is used followed by the use of finite-difference schemes. Determination of the volumetric activity value at each splitting step is implemented by an explicit formula. Scientific novelty. An effective numerical model was developed and its software implementation was conducted for operational analysis of the formation of radioactive contamination areas in the atmosphere during an extreme situation at a nuclear power plant, accompanied by the emission of radioactive substances. The model takes into account a complex of factors that affect the process of radioactive impurities spread in the atmosphere. Practical value. A computer code was developed for calculating the dynamics of the formation of radioactive contamination zones in the atmosphere based on the developed numerical model. This makes it possible to analyze the consequences of emergency emissions on the territory of the NPP using the computational experiment method. Conclusions. A mathematical model was developed for the operational analysis of radioactive contamination level of the atmospheric air due to an extreme situation at the nuclear power plant, which leads to an intense instantaneous release of radioactive substances. The results of a computational experiment based on the developed numerical model are presented.

Problem statement. The task of evaluating the effectiveness of the use of protective screens of different geometric shapes to reduce the level of air pollution is considered. The data on the screen allow you to change the aerodynamics of the air flow and redirect the movement of polluted air away from the work areas in the other direction. The purpose of the article – study of the effectiveness of the use of protective screens of different geometric shapes to reduce the level of pollution, creation of a three-dimensional numerical model for the analysis of the effectiveness of the use of protective screens. Methodology. The method of physical experiment in laboratory conditions is used to analyze the effectiveness of screens of different geometric shapes. Three-dimensional equations of aerodynamics and mass transfer are used for mathematical modeling of impurity propagation in the presence of screens. The developed numerical model makes it possible to take into account the air flow velocity profile, atmospheric diffusion, the emission intensity of the impurity, the rate of gravitational sedimentation of the impurity in the air. For the numerical integration of the modeling equations of aerodynamics and mass transfer, finite-difference splitting schemes are used. Scientific novelty. Data on the effectiveness of the use of four protective screens, which differ in geometric shape, were obtained experimentally. Experimental data make it possible to carry out an initial assessment of the impact of various screens on reducing the level of pollution in working areas. A fast-calculating 3D numerical model was developed for solving problems of aerodynamics and mass transfer in relation to the problem of evaluating the effectiveness of the use of screens located in areas where atmospheric air pollution occurs. Practical significance. Experimental data make it possible to justify the choice of a protective screen near the highway or another area on the industrial site where the impurity emission takes place. A computer code was created on the basis of the developed mathematical model, which makes it possible to predict the intensity of air pollution in the presence of obstacles that change the aerodynamics and the direction of transport of impurities in the atmosphere. Conclusions. The results of the physical experiment allow us to imagine the regularities of the formation of areas of pollution near protective screens of different geometric shapes, the developed mathematical model allows us to estimate air pollution in areas where there are obstacles in the way of the movement of impurities. The results of physical and computational experiments are presented.

Problem statement. The task of assessing the level of atmospheric air chemical pollution in the case of an extreme situation resulting in a heptyl spill on the territory of industrial facility is considered. An analysis of the pollution zones formation both at industrial sites and in the residential area located near the industrial facility is conducted. To solve such a problem, it is necessary to develop multifactor mathematical models that allow for the rapid determination of the pollution areas formed in an extreme situation. The purpose of the article. To develop a computer model for operational analysis of pollution areas formed during the emergency emission of chemically hazardous substances into the atmosphere. Methodology. The computer model was developed on the basis of a numerical model, which is a differential analogue of the multifactor kinematic equation for impurities mass transfer in atmospheric air. The mass transfer equation takes into account the three-dimensional field of wind speed, atmospheric diffusion, and the intensity of the chemically dangerous substance release into the air. A four-step finite-difference splitting scheme is used for numerical integration of the three-dimensional mass transfer equation. Determination of the chemically dangerous substance concentration at each cleavage step is implemented according to an explicit formula. An empirical dependence is used to calculate the emission intensity of a chemically hazardous substance from the emergency spill zone. Scientific novelty. A numerical model was developed and its software implementation was conducted for the operational analysis of the formation of accidental pollution areas in the atmosphere. The model takes into account a complex of factors affecting the process of impurity propagation in the atmosphere. Practical value. A program was developed for calculating the dynamics of atmospheric air pollution based on the proposed numerical model. This makes it possible to analyze the consequences of emergency spills on the territory of chemically hazardous objects by the method of a computational experiment. Conclusions. An effective tool for operational analysis of the atmospheric air pollution level due to the emission of chemically hazardous substances is created. The results of the computational experiment are presented.

Problem statement. The problem of forecasting the dynamics of heating the embankment of vegetable raw materials due to the action of microorganisms is considered. The activity of microorganisms leads to a local increase in temperature in the embankment of vegetable raw materials, which leads, over time, to a fire in the elevator. Estimating the period of time during which an elevator fire may occur is a particularly important task. The purpose of the article. Development of a numerical multi-parametric model for calculating the process of heating the embankment of vegetable raw materials in the elevator in order to determine the time when a fire may occur in the storage. Methodology. A two-dimensional heat transfer equation (energy equation) is used for mathematical modeling of the heating process of an embankment of plant raw materials. This equation takes into account the possibility of calculating the temperature field in the presence of layers with different thermal properties in the plant material embankment. For the numerical integration of the two-dimensional heat transfer equation, two finite-difference schemes are used. To construct the first finite-difference scheme, the analytical splitting of the modeling heat transfer equation into two steps is carried out. At each step of the splitting, the unknown temperature value is determined according to an explicit “running calculation” scheme. The second finite difference scheme is an explicit scheme for the numerical integration of the two-dimensional heat transfer equation. Scientific novelty. An effective numerical model has been developed that allows to quickly determine how the temperature field inside the embankment of plant raw materials changes with time by the method of a computational experiment in order to determine the time of a possible fire at the elevator. The model takes into account the most significant physical factors affecting the heating process of the plant material embankment. Practical significance. On the basis of the developed model, a computer program was created that allows in real time to determine the temperature field inside the embankment of plant raw materials on the elevator. The numerical model will be useful for analyzing the risk of fire in elevators and developing measures to reduce the occurrence of this extreme situation. Conclusions. A numerical model and a computer program that implements it on a computer have been created, which allows the method of computational experiment to study the dynamics of heating the embankment of vegetable raw materials and predict the time of possible fire. The developed computer program can be implemented on low and medium power computers. The results of a computational experiment are presented.