Моделювання хвильових процесів у газорідинних системах

• Дата: 2021
• Автори: Положаєнко, Сергій, Лись, Дар'я
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Kamianets-Podilskyi National Ivan Ohiienko University 2021
• Онлайн доступ: http://mcm-tech.kpnu.edu.ua/article/view/251085
• Назва журналу: Mathematical and computer modelling. Series: Technical sciences

In terms of the hydrodynamic theory of heterogeneous systems, the possibilities of mathematical description (formalization) of the processes of dynamics of gas-liquid two-phase systems are considered. In this case, based on the effect of the existence of undissolved gas bubbles in the unexcited liquid and in the liquid exposed to the formation of wave motion, a mathematical model of the dynamic states of gas-liquid two-phase systems is proposed. The relevance of such models is that two-phase flows are the main «working fluid», in particular, in power plants and chemical technology, and work processes in the metallurgical, oil and refining (including petrochemical) industry, in cryogenic devices accompanied by the formation of vapor-liquid systems. In this regard, the availability of adequate mathematical models of dynamics for the media under consideration, based on conservation laws (mass, momentum and energy) and suitable for use in engineering calculations, should be considered as an advantage over empirical models that provide satisfactory accuracy. calculations only in a limited range of technological parameters and completely unsuitable for emergency and emergency modes. The analysis of the propagation of wave processes in a gas-liquid medium on the basis of a heterogeneous representation of physical phenomena in it shows similarity to the traditional gas-dynamic approach, but, nevertheless, the gas-liquid mixture has certain features. First of all, this concerns the presence of the so-called «bubble» suspension, which determines the significant nonlinearity of the dynamic regime in gas-liquid media, which is caused by the possibility of compression of the two-phase system under external influence (external pressure). The consequence of the latter is low values of the speed of sound caused by the dependence on pressure, especially in areas of its growth. The proposed models are quite informative, which allows us to draw conclusions about the possible mechanisms of dynamic processes in gas-liquid media, and predict their further development under the condition of a priori information about the gas-dynamic characteristics of a real two-phase system