Instability of an oscillatory fluid layer with insoluble surfactants
Instability of an oscillatory fluid layer with insoluble surfactants
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含有不溶性表面活性剂的振荡流体层的不稳定性
DOI：
10.1017/s0022112007009512
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发表时间：
2008-01
影响因子：
3.7
通讯作者：
Lu, Xi-Yun
中科院分区：
文献类型：
--
作者：
Gao, Peng;Lu, Xi-Yun
基于Floquet理论研究了无限大流体层的线性稳定性问题，该流体层具有一个可变形的自由表面，表面上覆盖着一种不溶性表面活性剂，下面是一个在其平面内振动的水平刚性板。用切比雪夫配置法数值求解了任意波数扰动的稳定性问题的微分系统。稳定性边界在很宽的幅度和频率范围内的调制以及表面活性剂的弹性。结果表明，表面活性剂的存在下，可以显着稳定（不稳定）的流动，通过提高（降低）临界雷诺数与不稳定的发病。表面活性剂的作用对较小的表面活性剂弹性起稳定作用，对较大的表面活性剂弹性起失稳作用。首次发现了表面活性剂对零剪切面流动稳定性的失稳作用。行波形式的扰动模式可以由表面活性剂诱导，并且主导流动的不稳定性。
The linear stability of an infinite fluid layer with a deformable free surface covered by an insoluble surfactant and bounded below by a horizontal rigid plate oscillating in its own plane is studied based on the Floquet theory. The differential system governing the stability problem for perturbations of arbitrary wavenumbers is solved numerically by a Chebyshev collocation method. Stability boundaries are obtained in a wide range of amplitude and frequency of the modulation as well as surfactant elasticity. Results show that the presence of the surfactant may significantly stabilize (destabilize) the flow by raising (lowering) the critical Reynolds number associated with the onset of instability. The effect of the surfactant plays a stabilizing role for small surfactant elasticity and a destabilizing one for relatively large surfactant elasticity. The destabilizing effect of the surfactant on the stability of flows with a zero-shear surface is found for the first time. The disturbance modes in the form of travelling waves may be induced by the surfactant and dominate the instability of the flow.
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影响因子：
4.6
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通讯作者：
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影响因子：
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