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具有倾斜驱动的水下沙波纹的图案形成

Pattern formation of underwater sand ripples with a skewed drive.

作者信息

Bundgaard F, Ellegaard C, Scheibye-Knudsen K, Bohr T, Sams T

机构信息

Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Dec;70(6 Pt 2):066207. doi: 10.1103/PhysRevE.70.066207. Epub 2004 Dec 15.

Abstract

In this paper we present an experimental study of the dynamics of underwater sand ripples when a regular pattern of ripples is subjected to a skewed oscillatory flow, i.e., one not perpendicular to the direction of the ripple crests. Striking patterns with new, superposed ripples on top of the original ones occur very quickly with a characteristic angle, which is, in general, not perpendicular to the flow. A slower, more complex transition then follows, leading to the final state where the ripples are again perpendicular to the flow. We investigate the variation of the superposed pattern as a function of the direction, amplitude, and frequency of the drive, and as a function of the viscosity (by changing the temperature). We quantify the dynamics of the entire transition process and finally study the grain motion around idealized (solid) skewed ripples. This leads to a characteristic mean path of a single particle. The path has a shape close to a parallelogram, with no apparent connection to the pattern of real, superposed ripples. On the other hand, a thin layer of sand sprinkled on the solid ripples leads to qualitatively similar patterns.

摘要

在本文中,我们展示了一项关于水下沙波纹动力学的实验研究,该研究针对的是当规则的波纹模式受到倾斜振荡流(即不垂直于波纹波峰方向的流)作用时的情况。在原始波纹之上很快就会出现带有新的叠加波纹的显著模式,且具有一个特征角度,该角度通常不垂直于水流方向。随后会出现一个较为缓慢、更为复杂的转变过程,最终导致波纹再次垂直于水流的最终状态。我们研究叠加模式随驱动方向、振幅和频率以及随粘度(通过改变温度)的变化情况。我们对整个转变过程的动力学进行量化,最后研究理想化(固体)倾斜波纹周围的颗粒运动。这得出了单个颗粒的特征平均路径。该路径的形状近似平行四边形,与真实叠加波纹的模式没有明显关联。另一方面,洒在固体波纹上的一层薄沙会导致定性上相似的模式。

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