Self-similar clustering of inertial particles and zero-acceleration points in fully developed two-dimensional turbulence
Self-similar clustering of inertial particles and zero-acceleration points in fully developed two-dimensional turbulence
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DOI：
10.1063/1.2364263
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发表时间：
2006-11
影响因子：
4.6
通讯作者：
S. Goto;J. C. Vassilicos
中科院分区：
文献类型：
--
作者：
S. Goto;J. C. Vassilicos
在充分发展的二维逆级联湍流中，惯性粒子的聚集发生在所有粒子的弛豫时间范围从最小涡流周转时间下的一个数量级到最大涡流周转时间以上的一个数量级。颗粒空隙和集群是统计自相似的在惯性范围内的尺度的有限范围内，并解释在粗粒涡和共振涡（空隙）和零加速点（集群）。惯性粒子的聚集反映了零加速度点的聚集。对这两种解释来说，最基本的是大漩涡扫过小漩涡。一个重要的含义是，粒子聚类可以明确地描述流体加速度场，而不需要拉格朗日粒子积分。
Clustering of inertial particles in fully developed two-dimensional inverse cascading turbulence occurs for all particle relaxation times ranging from an order of magnitude under the smallest eddy turnover time to an order of magnitude above the largest eddy turnover time. Particle voids and clusters are statistically self-similar over a finite range of scales within the inertial range and are explained in terms of coarse-grained vorticity and resonant eddies (for voids) and in terms of zero-acceleration points (for clusters). The clustering of inertial particles reflects the clustering of zero-acceleration points. Essential to both explanations is the sweeping of small eddies by large ones. An important implication is that particle clustering can be explicitly described just in terms of the fluid acceleration field without the need for Lagrangian particle integrations.