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Experimental study of linear and nonlinear regimes of density-driven instabilities induced by CO2 dissolution in water

机译:二氧化碳溶解在水中引起的密度驱动的不稳定性的线性和非线性机制的实验研究

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Density driven instabilities produced by CO_2 (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 CO_2 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 CO_2 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 CO_2 pressure, in the nonlinear regime, the influence of the latter is clearly more pronounced than the effects of the color indicator.
机译:在Hele Shaw池中研究了由CO_2(气体)溶解在含有颜色指示剂的水中引起的密度驱动的不稳定性。分析了图像,并通过混合区域的时间演化,分散曲线以及不同CO_2压力和不同颜色指示剂浓度的增长率来表征不稳定模式。从对实验数据的详尽分析中获得的结果表明,该系统在不稳定性的线性状态(当增长率与时间呈线性相关性时)与较长时间的非线性状态具有不同的行为。在短时间内使用颜色指示器查看图案的演变过程,图像显示出颜色指示器和CO_2压力的作用具有相同的数量级:增长率相似,波数相同系统不稳定时的范围(0–30 cm〜(-1))。尽管在线性状态下,动力学同样受到指示器和CO_2压力的影响,但在非线性状态下,后者的影响显然比颜色指示器的影响更为明显。

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