Growth of non-modal transient structures during the spreading of surfactant coated films
Growth of non-modal transient structures during the spreading of surfactant coated films
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DOI：
10.1063/1.869645
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发表时间：
1998-09
影响因子：
4.6
通讯作者：
O. Matar;S. Troian
中科院分区：
文献类型：
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作者：
O. Matar;S. Troian
表面活性剂涂覆的液体薄膜的扩散通常伴随着不稳定性，产生明显的膜波纹、指状和分支。马兰戈尼应力，负责快速和自发蔓延，被怀疑是不稳定流动的主要原因。传统的描述Marangoni驱动扩散的自相似解的特征值分析只能预测稳定模态。我们提出了一个瞬态生长研究的结果，它揭示了薄膜厚度中最初无穷小的扰动的巨大放大。这一分析首次提供了类似实验模式的不稳定性的证据。
The spreading of surfactant coated thin liquid films is often accompanied by an instability producing significant film corrugation, fingering and branching. Marangoni stresses, responsible for the rapid and spontaneous spreading, are suspected as the main cause of unstable flow. Traditional eigenvalue analysis of a self-similar solution describing Marangoni driven spreading has predicted only stable modes. We present results of a transient growth study which reveals enormous amplification of initially infinitesimal disturbances in the film thickness. This analysis provides, for the first time, evidence of an instability resembling experimental patterns.