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二氧化碳在水中溶解引发的密度驱动不稳定性的线性和非线性状态的实验研究

Experimental study of linear and nonlinear regimes of density-driven instabilities induced by CO(2) dissolution in water.

作者信息

Outeda R, El Hasi C, D'Onofrio A, Zalts A

机构信息

Grupo de Medios Porosos, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colón 850, C1063ACV Buenos Aires, Argentina.

Instituto de Ciencias, Universidad Nacional General Sarmiento, J. M. Gutiérrez 1150, B1613GSX, Los Polvorines, Provincia de Buenos Aires, Argentina.

出版信息

Chaos. 2014 Mar;24(1):013135. doi: 10.1063/1.4868040.

Abstract

Density driven instabilities produced by CO2 (gas) dissolution in water containing a color indicator were studied in a Hele Shaw cell. The images were analyzed and instability patterns were characterized by mixing zone temporal evolution, dispersion curves, and the growth rate for different CO2 pressures and different color indicator concentrations. The results obtained from an exhaustive analysis of experimental data show that this system has a different behaviour in the linear regime of the instabilities (when the growth rate has a linear dependence with time), from the nonlinear regime at longer times. At short times using a color indicator to see the evolution of the pattern, the images show that the effects of both the color indicator and CO2 pressure are of the same order of magnitude: The growth rates are similar and the wave numbers are in the same range (0-30 cm(-1)) when the system is unstable. Although in the linear regime the dynamics is affected similarly by the presence of the indicator and CO2 pressure, in the nonlinear regime, the influence of the latter is clearly more pronounced than the effects of the color indicator.

摘要

在赫勒肖盒中研究了二氧化碳(气体)溶解于含有颜色指示剂的水中所产生的密度驱动不稳定性。对图像进行了分析,并通过混合区时间演化、色散曲线以及不同二氧化碳压力和不同颜色指示剂浓度下的增长率来表征不稳定性模式。对实验数据进行详尽分析所得结果表明,该系统在不稳定性的线性区域(当增长率与时间呈线性依赖关系时)与较长时间的非线性区域具有不同的行为。在短时间内使用颜色指示剂来观察模式的演变,图像显示颜色指示剂和二氧化碳压力的影响具有相同的数量级:当系统不稳定时,增长率相似且波数处于相同范围(0 - 30 cm⁻¹)。尽管在线性区域动力学受到指示剂存在和二氧化碳压力的类似影响,但在非线性区域,后者的影响明显比颜色指示剂的影响更为显著。

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