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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder - art. no. 056308
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Anomalous roughening in experiments of interfaces in Hele-Shaw flows with strong quenched disorder - art. no. 056308

机译:在Hele-Shaw流动的界面中进行异常淬火并具有强烈​​的淬火失调-art。没有。 056308

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摘要

We report experimental evidence of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists of a random modulation of the gap spacing that is transverse to the growth direction (tracks). Experiments were performed by varying the average interface velocity and the gap spacing, and measuring the scaling exponents. The following values of the scaling exponents were obtained; betasimilar or equal to0.50, beta(*)similar or equal to0.25, alphasimilar or equal to1.0, alpha(loc)similar or equal to0.5, and zsimilar or equal to2. When there is no fluid injection, the interface is driven solely by capillary forces, and a higher value of beta of approximately beta=0.65 is measured. The presence of multiscaling and the particular morphology of the interfaces, characterized by large height differences that follow a Levy distribution, confirms the existence of anomalous scaling. From a detailed study of the motion of the oil-air interface, we show that the anomaly is a consequence of different local velocities on the tracks plus the coupling in the motion between neighboring tracks. The anomaly disappears at high interface velocities, weak capillary forces, or when the disorder is not sufficiently persistent in the growth direction. We have also observed the absence of scaling when the disorder is very strong or when a regular modulation of the gap spacing is introduced. [References: 26]
机译:我们报告了异常的动力学粗糙在具有强烈淬灭障碍的Hele-Shaw细胞中的石油-空气界面的稳定位移中的异常动力学粗糙化。无序包括横向于生长方向(轨道)的间隙间隔的随机调制。通过改变平均界面速度和间隙间距并测量缩放指数来进行实验。获得了以下缩放指数值: beta相似或等于0.50,beta(*)相似或等于0.25,alpha相似或等于1.0,alpha(loc)相似或等于0.5,z相似或等于2。当没有流体注入时,界面仅由毛细作用力驱动,并且测得的β值较高,约为β= 0.65。多尺度的存在以及界面的特殊形态(以遵循Levy分布的高度差异为特征)证实了异常尺度的存在。通过对油气界面运动的详细研究,我们发现异常是轨道上不同局部速度加上相邻轨道之间运动耦合的结果。异常现象在高界面速度,较弱的毛细作用力或疾病在生长方向上没有足够持久的情况下消失。我们还观察到,当异常非常强烈或引入间隙间距的常规调制时,则没有缩放比例。 [参考:26]

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