Stability of viscous fingering.
Stability of viscous fingering.
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粘性指法的稳定性。
DOI：
10.1103/physreva.33.1302
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
David Bensimon
中科院分区：
文献类型：
--
作者：
David Bensimon
本文用保角映射方法对二维Hele-Shaw胞内的流动进行了解析和数值研究。在表面张力的存在下，指状物是线性稳定的。然而，线性稳定性问题的结构是指数敏感的噪声，这意味着存在一个有限振幅的非线性不稳定性出现在低表面张力。数值模拟表明了这种不稳定性的存在。最不稳定的模式进行预测，并与真实的和数值实验。
Flows in a two-dimensional Hele-Shaw cell are studied analytically and numerically by conformal-mapping methods. In the presence of surface tension the fingers are linearly stable. However, the structure of the linear stability problem is exponentially sensitive to noise, which implies the existence of a finite-amplitude nonlinear instability appearing at low surface tensions. Numerical simulations demonstrate the existence of this instability. The most unstable modes are predicted and compared with real and numerical experiments.