Experiments in a rotating Hele-Shaw cell
Experiments in a rotating Hele-Shaw cell
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DOI：
10.1103/physreve.54.6260
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发表时间：
1996-12-01
影响因子：
2.4
通讯作者：
Ortin, J
中科院分区：
文献类型：
--
作者：
Carrillo, L;Magdaleno, FX;Ortin, J
我们介绍了一个修改Hele-Shaw hows组成的旋转细胞。在单元的旋转轴处注入粘性流体（油），该旋转轴对空气开放。因此，油-空气界面的形态不稳定性由离心力驱动，并由密度（而不是粘度）差控制。我们推导了线性色散关系，并验证了实验不确定性内初始图案的最大增长率选择。在注入速率为零的情况下，研究了非线性生长机制。几个特征长度进行了研究，以量化所获得的模式。实验数据表现出良好的崩溃的两个特征长度，即，回转半径和径向指长，这在非线性政权出现线性增长的时间。
We introduce a modification to Hele-Shaw hows consisting of a rotating cell. A viscous fluid (oil) is injected at the rotation axis of the cell, which is open to air. The morphological instability of the oil-air interface is thus driven by centrifugal force and is controlled by the density (not viscosity) difference. We derive the linear dispersion relation and verify the maximum growth rate selection of initial patterns within experimental uncertainty. The nonlinear growth regime is studied in the case of vanishing injection rate. Several characteristic lengths are studied to quantify the patterns obtained. Experimental data exhibit good collapse for two characteristic lengths, namely, the radius of gyration and the radial finger length, which in the nonlinear regime appear to grow linearly in time.