不稳定性
溶解
物理
粘度
机械
非线性系统
粘性指进
流量(数学)
线性稳定性
边值问题
边界(拓扑)
理论(学习稳定性)
图案形成
边界层
重力场
对流
热力学
经典力学
数学分析
多孔介质
材料科学
化学
数学
复合材料
机器学习
生物
物理化学
量子力学
遗传学
计算机科学
多孔性
出处
期刊:Physics of Fluids
[American Institute of Physics]
日期:2022-02-01
卷期号:34 (2): 024102-024102
摘要
In consideration of the interface movement and the viscosity lowering due to the CO2 dissolution, the onset of gravitational instabilities in a horizontal fluid layer is analyzed theoretically and numerically. Under the linear stability theory, new stability equations are derived in the semi-infinite τ,ζ-domain. We proved that the normal mode stability analysis is possible for the deep-pool case—where the lower boundary plays little role in the spatiotemporal evolution of the concentration field. Moreover, we obtained critical conditions for the onset of convection by solving the normal mode stability equations. In addition, the effect of the swelling and the viscosity lowering on the stability, temporal evolution concentration field, and pattern formation on the dissolving interface is analyzed by solving the fully nonlinear governing equations of the flow and the concentration fields. The present linear and nonlinear analyses show consistently that both interface movement and viscosity lowering accelerate the onset of instability and enhance the dissolution of CO2. Finally, we visualize the pattern formation on the dissolving interface through the three-dimensional numerical simulations.
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