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基于大密度比多组分多相格子玻尔兹曼模型的受压单气泡溶解过程

Dissolution process of a single bubble under pressure with a large-density-ratio multicomponent multiphase lattice Boltzmann model.

作者信息

He Xiaolong, Zhang Jianmin, Yang Qian, Peng Haonan, Xu Weilin

机构信息

State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China.

Tianjin Research Institute for Water Transport Engineering, Key Laboratory of Engineering Sediment, Ministry of Transport, Tianjin 300456, China.

出版信息

Phys Rev E. 2020 Dec;102(6-1):063306. doi: 10.1103/PhysRevE.102.063306.

Abstract

A large-density-ratio and tunable-viscosity-ratio multicomponent multiphase pseudopotential lattice Boltzmann model is used to study the dissolution process of a bubble under pressure. The multi-relaxation-time collision operator, exact-difference-method external force scheme, and scaling coefficient k are applied to ensure the numerical stability of the model. The influence of k in the equation of state (EOS) and intermolecule interaction strength on the stationary bubble evolution process are discussed, and the effect of k on thermodynamic consistency is also analyzed. The results indicate that adjusting the scaling coefficient in the EOS changes the surface tension and interface thickness, and that the gas-liquid interface width w is proportional to 1/sqrt[k]. Considering the effect of k on the surface tension, interface thickness, and thermodynamic consistency, the scaling coefficient should be between 0.6 and 1. Furthermore, the dissolution process of a single bubble under pressure is studied using the developed model, and it is found that the dissolution mass and concentration of dissolved gas increase linearly with increases in the pressure difference, and that the concentration of dissolved gas is proportional to the gas pressure after the fluid system reaches equilibrium. These results are consistent with Henry's law.

摘要

采用大密度比和可调粘度比的多组分多相伪势格子玻尔兹曼模型研究压力作用下气泡的溶解过程。应用多弛豫时间碰撞算子、精确差分法外力格式和缩放系数k来确保模型的数值稳定性。讨论了状态方程(EOS)中的k和分子间相互作用强度对静态气泡演化过程的影响,并分析了k对热力学一致性的影响。结果表明,调整EOS中的缩放系数会改变表面张力和界面厚度,气液界面宽度w与1/√k成正比。考虑到k对表面张力、界面厚度和热力学一致性的影响,缩放系数应在0.6到1之间。此外,利用所建立的模型研究了压力作用下单气泡的溶解过程,发现溶解质量和溶解气体浓度随压差的增加呈线性增加,且在流体系统达到平衡后,溶解气体浓度与气体压力成正比。这些结果与亨利定律一致。

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