Distinctions of the Emergence of Convective Flows at the “Diffusion–Convections” Boundary in Isothermal Ternary Gas Mixtures with Carbon Dioxide

Fluids Pub Date : 2024-02-12 DOI:10.3390/fluids9020047
V. Kossov, D. Zhakebayev, O. Fedorenko, A. Zhumali
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Abstract

This study discusses the influence of the composition of a ternary gas mixture on the possibility of occurrence of convective instability under isothermal conditions due to the difference in the diffusion abilities of the components. A numerical study was carried out to study the change in “diffusion–concentration gravitational convection” modes in an isothermal three-component gas mixture He + CO2 − N2. The mixing process in the system under study was modeled at different initial carbon dioxide contents. To carry out a numerical experiment, a mathematical algorithm based on the D2Q9 model of lattice Boltzmann equations was used for modeling the flow of gases. We show that the model presented in the paper allows one to study the occurrence of convective structures at different heavy component contents (carbon dioxide). It has been established that in the system under study, the instability of the mechanical equilibrium occurs when the content of carbon dioxide in the mixture is more than 0.3 mole fractions. The characteristic times for the onset of convective instability and the subsequent creation of structural formations, the values of which depend on the initial content of carbon dioxide in the mixture, have been determined. Distributions of concentration, pressure and kinetic energy that allow one to specify the types of mixing and explain the occurrence of convection for a situation where, at the initial moment of time, the density of the gas mixture in the upper part of the diffusion channel is less than in the lower one, were obtained.
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含二氧化碳的等温三元气体混合物中 "扩散-对流 "边界对流出现的区别
本研究讨论了三元气体混合物的组成对等温条件下发生对流不稳定性的可能性的影响,原因是各组分的扩散能力不同。我们进行了数值研究,以探讨等温三组分混合气体 He + CO2 - N2 中 "扩散-浓度引力对流 "模式的变化。在不同的二氧化碳初始含量下,模拟了所研究系统中的混合过程。为了进行数值实验,我们使用了基于晶格玻尔兹曼方程 D2Q9 模型的数学算法来模拟气体流动。结果表明,本文提出的模型可以研究不同重组分(二氧化碳)含量下对流结构的发生。研究表明,在所研究的系统中,当混合物中二氧化碳的含量超过 0.3 摩尔分数时,就会出现机械平衡的不稳定性。对流不稳定性开始和随后结构形成的特征时间已经确定,其值取决于混合物中二氧化碳的初始含量。在初始时刻,扩散通道上部的混合气体密度小于下部的混合气体密度的情况下,可以获得浓度、压力和动能的分布,从而明确混合类型并解释对流的发生。
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