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arXiv 1609.05938physics.flu-dyn
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界面流体力学中的离散自相似性和迭代结构的形成

Discrete self-similarity in interfacial hydrodynamics and the formation of iterated structures

Michael C. Dallaston, Marco A. Fontelos, Dmitri Tseluiko, Serafim Kalliadasis

摘要:

重复结构的形成,如卫星和亚卫星滴,细丝和气泡,是界面流体动力学中的一个常见特征。在这里,我们进行了计算和理论研究的情况下,它们的起源的薄膜的粘性流体,是不稳定的长程分子或其他力量。我们证明,迭代结构出现的离散自相似性,其中某些模式重复自己,重新缩放,定期在对数时间尺度的后果。结果是具有相似性质的脊和细丝的无限序列。这些离散的自相似的解决方案作为一个霍普夫分叉的结果,从通常的自相似解决方案的字符也被描述。

英文摘要:

The formation of iterated structures, such as satellite and sub-satellite drops, filaments and bubbles, is a common feature in interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case of thin films of viscous fluids that are destabilized by long-range molecular or other forces. We demonstrate that iterated structures appear as a consequence of discrete self-similarity, where certain patterns repeat themselves, subject to rescaling, periodically in a logarithmic time scale. The result is an infinite sequence of ridges and filaments with similarity properties. The character of these discretely self-similar solutions as the result of a Hopf bifurcation from ordinarily self-similar solutions is also described.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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