Experimental investigation of the onset of instability in a radial Hele-Shaw cell.

Experimental investigation of the onset of instability in a radial Hele-Shaw cell.
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径向 Hele-Shaw 细胞不稳定发生的实验研究。

DOI:
10.1103/physreve.80.066306
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发表时间:
2009
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
A. Sergeev
A. Sergeev
中科院分区:
--
文献类型:
--
作者:
L. Martyushev;A. Birzina;M. Konovalov;A. Sergeev

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研究了Hele-Shaw槽内流体径向位移时界面不稳定性的初始阶段。对空气-硅油系统进行了分析。确定了相对于长波扰动的稳定临界半径。研究发现,在所研究的参数范围内,最常见的不稳定性是由平移机构引起的。结果表明,在绝大多数情况下,临界失稳半径都小于线性稳定性理论的预测值,而外部效应使这种差异更大。对所得结果进行了讨论,并与现有理论进行了比较。
The initial stage of interface instability upon radial displacement of a fluid in a Hele-Shaw cell is investigated. An air-silicone oil system is analyzed. The critical radii of stability relative to long-wave perturbations are determined. It is found that, in the investigated range of parameters, instability most often begins by a translational mechanism. It is ascertained that in the overwhelming majority of cases the critical radii of instability are smaller than the values predicted by the linear stability theory and external effects make this difference even greater. The obtained results are discussed and compared with the existing theories.