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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Experiments of interfacial roughening in Hele-Shaw flows with weak quenched disorder - art. no. 031603
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Experiments of interfacial roughening in Hele-Shaw flows with weak quenched disorder - art. no. 031603

机译：具有弱淬灭性的Hele-Shaw流动中的界面粗糙化实验-art。没有。 031603

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摘要

We have studied the kinetic roughening of an oil-air interface in a forced imbibition experiment in a horizontal Hele-Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the direction of growth, have been explored by varying the average interface velocity v and the gap spacing b. Through the analysis of the rms width as a function of time, we have measured a growth exponent betasimilar or equal to0.5 that is almost independent of the experimental parameters. The analysis of the roughness exponent alpha through the power spectrum has shown different behaviors at short (alpha(1)) and long (alpha(2)) length scales, separated by a crossover wave number q(c). The values of the measured roughness exponents depend on experimental parameters, but at large velocities we obtain alpha(1)similar or equal to1.3 independently of the disorder configuration. The dependence of the crossover wave number with the experimental parameters has also been investigated, measuring q(c)similar tov(0.47) for the shortest persistence length, in agreement with theoretical predictions. [References: 37]
机译：我们已经研究了在具有淬灭性紊乱的水平Hele-Shaw池中的强迫吸收实验中，油-空气界面的动力学粗糙化。通过改变平均界面速度v和间隙间距b，已经探索了以其在生长方向上的持续长度为特征的不同无序结构。通过对均方根宽度作为时间的函数进行分析，我们测量了近似于或等于0.5的增长指数β相似值，几乎与实验参数无关。通过功率谱对粗糙度指数α的分析显示，在短（alpha（1））和长（alpha（2））长度尺度上，行为不同，并由交叉波数q（c）隔开。测得的粗糙度指数的值取决于实验参数，但是在大速度下，我们获得的α（1）相似或等于1.3，而与无序构型无关。还研究了交叉波数与实验参数的相关性，与理论预测相符，测量了q（c）类似于v（0.47）的最短持续时间。 [参考：37]

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