ASSESSMENT OF THE INTENSITY OF THE LEAKAGE OF THE SUBSTANCE IN THE EVENT OF VIOLATION OF THE HERMETICITY OF THE OBJECT.
Keywords:: напружений стан, трубопровід, течія в’язкої рідини, динамічна в’язкість, рівняння Навьє – Стокса, газова суміш.
The article is devoted to the study of the technical condition of pipelines through which gas-liquid mixtures with aggressive components are transported, which is an important scientific and technical problem. A mathematical model of the process of leakage of the transported product due to loss of pipe tightness based on the system of Navier-Stokes equations with boundary conditions has been implemented and take into account the geometry of the leakage zones and the magnitude of the leakage velocity. Calculations were made according to computational algorithms created on the basis of the specified models. An analysis of the results of the calculations is presented - the flow rate depending on the dynamic viscosity of the mixture. The influence on the flow parameters – mixture consumption and hydraulic resistance forces – changes in the dynamic viscosity of the mixture was analyzed. At the same time, the results of modeling the Poiseuille flow were used. Based on the analysis of the behavior of the pressure drop in the zone of emergency release of pollutants, a formula was obtained for the express estimation of the size of the penetration zone, taking into account the properties of the soil and the speed of overlapping of the emergency area. Conclusions based on research results are presented. When developing practical methods for calculating flow in gas-liquid well flows, it is necessary to conduct a study of the influence of the parameters of the difference scheme on its accuracy namely steps along the longitudinal and transverse coordinates, as well as to conduct a study of the behavior of the solutions at different values of the numerical characteristics of the process given in corresponding clause, which will allow to determine the area of practical application of the proposed model from the point of view of the geometric dimension s of the objects, the type of fluids flowing through the system, as well as to reduce the calculation time of one of the variants of the problem, which is especially important when optimizing presented model according to the criterion of its best correspondence to the real physical picture of the process. An important issue remains the establishment of limits of application of the proposed two-dimensional model for the description of essentially three-dimensional real systems under study.
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