燃料能源综合设施火灾时热损伤风险评估的数学模型

М.М. Biliaiev, V. Petrenko, V. Biliaieva, O. Berlov, O. Tymoshenko
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For the numerical integration of the equation for the velocity potential, the splitting method is used. For the numerical integration of the three-dimensional energy equation, it is split at the differential level into two equations. The first equation describes the spread of temperature due to the movement of air masses. The second equation describes the temperature distribution due to thermal conductivity. For the numerical integration of the first equation, a variable-triangular difference splitting scheme is used. An explicit difference scheme is used for the numerical integration of the second equation. Scientific novelty. A 3D numerical model was created, which allows to quickly calculate the dynamics of the formation of thermal air pollution areas at the industrial site and, based on this information, to predict the risk of thermal damage to people in the work zones at the industrial site. 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引用次数: 0

摘要

问题陈述。考虑了工业现场火灾中热空气污染预测和热损伤风险评估的任务。任务是计算火灾期间的三维温度场,并在此基础上评估对人员的热损伤风险。文章的目的。开发用于计算热空气污染的三维数值模型,并评估在火灾情况下工业现场工人的热损伤风险。方法。采用三维能量方程模拟了火灾情况下工业现场的热空气污染过程。采用三维速度势方程计算了工业现场的气流速度场。对于速度势方程的数值积分,采用分裂法。对于三维能量方程的数值积分,在微分水平上分为两个方程。第一个方程描述了由于气团运动而引起的温度扩散。第二个方程描述了由于导热性引起的温度分布。对于第一个方程的数值积分,采用变三角差分分裂格式。第二个方程的数值积分采用显式差分格式。科学的新奇。创建了一个3D数值模型,可以快速计算工业现场热空气污染区域形成的动态,并根据这些信息预测工业现场工作区域人员的热损伤风险。该模型基于气动方程和传热方程的数值积分。该模型允许在火灾情况下快速计算工业现场热区形成的动力学。实用价值。所开发的模型使预测工业现场发生火灾时空气中温度场的动态变化成为可能。该数值模型可用于确定热污染严重区域和评估工人的热损伤风险。结论。在开发的三维数值模型的基础上,编写了进行计算实验的代码。开发的代码允许快速计算火灾期间工业现场热空气污染区域形成的动力学。根据接收到的信息,对工人的热损伤风险进行评估。给出了计算实验结果。
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MATHEMATICAL MODEL FOR RISK ASSESSMENT OF THERMAL DAMAGE IN CASE OF FIRE AT THE FACILITIES OF THE FUEL AND ENERGY COMPLEX
Problem statement. The task of prediction for thermal air pollution and assessing the risk of thermal damage to people during a fire at an industrial site is considered. The task is to calculate 3D temperature fields during a fire and, based on this, to assess the risk of thermal damage to people. The purpose of the article. Development of a 3D numerical model for calculating thermal air pollution and assessing the risk of thermal damage to workers at an industrial site in the case of a fire. Methodology. A three-dimensional energy equation was used to model the process of thermal air pollution at an industrial site in the case of a fire. A three-dimensional equation for the velocity potential is used to calculate the air flow velocity field at the industrial site. For the numerical integration of the equation for the velocity potential, the splitting method is used. For the numerical integration of the three-dimensional energy equation, it is split at the differential level into two equations. The first equation describes the spread of temperature due to the movement of air masses. The second equation describes the temperature distribution due to thermal conductivity. For the numerical integration of the first equation, a variable-triangular difference splitting scheme is used. An explicit difference scheme is used for the numerical integration of the second equation. Scientific novelty. A 3D numerical model was created, which allows to quickly calculate the dynamics of the formation of thermal air pollution areas at the industrial site and, based on this information, to predict the risk of thermal damage to people in the work zones at the industrial site. The model is based on the numerical integration of the aerodynamic and heat transfer equations. The model allows to quickly calculate the dynamics of the thermal zones’ formation at the industrial site in the case of a fire. Practical value. The developed model makes it possible to predict the dynamics of changes in temperature fields in the air that occur during a fire at an industrial site. The numerical model can be used to determine zones of intense thermal pollution and assess the risk of thermal damage to workers. Conclusions. On the basis of the developed 3D numerical model, a code was created for conducting a computational experiment. The developed code allows to quickly calculate the dynamics of the formation of thermal air pollution areas at an industrial site during a fire. Based on the received information, the risk of thermal damage to workers is assessed. The results of the computational experiment are presented.
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