Interaction of Two Gas Bubbles Rising One after Another in a Liquid

IF 0.8 Q2 MATHEMATICS
I. V. Morenko
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引用次数: 0

Abstract

The dynamics of two gas bubbles rising in a stagnant viscous liquid is studied. The mathematical model is based on the laws of conservation of mass, momentum and energy, taking into account the compressibility of media. The gas is assumed to be calorically perfect. To trace the gas–liquid interface, the volume of fluid method is used. The solution to the problem is carried out using the finite volume method. The evolution of the bubble shape during the process of ascent and hydrodynamic interaction is shown. The change in the bubble shapes occurs under the influence of buoyancy force, drag force, viscous force, inertia force, and surface tension force. The results of the test calculations are in good agreement with the known data of other authors. The mechanism of coalescence of bubbles is described in the case of their movement one after another, when one bubble falls into the region of the hydrodynamic wake of another. Dependencies of bubble volume and temperature change on time are established.

Abstract Image

液体中相继上升的两个气泡的相互作用
摘要 研究了停滞粘性液体中两个气泡上升的动力学。数学模型基于质量、动量和能量守恒定律,并考虑了介质的可压缩性。假设气体在热量上是完美的。为了追踪气液界面,采用了流体体积法。问题的求解采用有限体积法。图中显示了气泡在上升和流体动力学相互作用过程中的形状演变。气泡形状的变化是在浮力、阻力、粘性力、惯性力和表面张力的影响下发生的。试验计算结果与其他作者的已知数据非常吻合。在气泡一个接一个运动的情况下,当一个气泡落入另一个气泡的流体动力尾流区域时,气泡的凝聚机制得到了描述。确定了气泡体积和温度变化与时间的关系。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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