Onset of three-dimensionality in electromagnetically driven thin-layer flows
Onset of three-dimensionality in electromagnetically driven thin-layer flows
复制标题
电磁驱动薄层流中三维性的开始
DOI：
10.1063/1.3570685
复制
发表时间：
2011
影响因子：
4.6
通讯作者：
N. Ouellette
中科院分区：
文献类型：
--
作者：
D. H. Kelley;N. Ouellette
二维流体流动通常在实验室中用薄的电磁力流体层来近似。然而，必须仔细考虑这种实验模型的真实性，因为物理世界本质上是三维的。通过采用为海洋学数据开发的分析技术，我们将薄层流的速度测量结果分为两个部分：一个是纯二维的，另一个是考虑所有平面外流的。我们分别检查二维和三维分量，发现薄层流中的运动在低雷诺数下几乎是二维的，但平面外流在临界雷诺数以上会快速增长。这种现象的发生可能是由于剪切不稳定性。
Two-dimensional fluid flow is often approximated in the laboratory with thin electromagnetically forced fluid layers. The faithfulness of such an experimental model must be considered carefully, however, because the physical world is inherently three-dimensional. By adapting an analysis technique developed for oceanographic data, we divide velocity measurements from a thin-layer flow into two components: one that is purely two-dimensional and another that accounts for all out-of-plane flow. We examine the two- and three-dimensional components separately, finding that motion in thin-layer flows is nearly two-dimensional at low Reynolds numbers, but that out-of-plane flow grows quickly above a critical Reynolds number. This onset is likely due to a shear instability.