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arXiv 2209.03468cond-mat.soft
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巨型肥皂膜的厚度分布

Thickness profiles of giant soap films

Marina Pasquet, Frédéric Restagno, Isabelle Cantat, Emmanuelle Rio

AI总结:

本文通过高速拉出水平鱼线制备高达两米的巨型肥皂膜,建立结合重力、表面弹性与侧向抽膜效应的静态弹性模型,解释了中央区域的指数厚度分布。

摘要:

泡沫膜(即与其弯液面接触的膜)的制备、排液和稳定性是引人入胜但至今仍未解决的问题。在本文中,我们提议探索大速度和大膜尺寸的区域。这一区域无法通过文献中经典开展的实验进入,却使我们能够研究大拉伸量和大拉伸速率的区域。利用我们的装置,通过将一根由皮带驱动的水平鱼线从肥皂溶液中以20 cm/s至250 cm/s的速度拉出,我们制备了高达两米的肥皂膜。我们表征了膜中央部分的厚度分布,该部分的行为类似于受张力的橡皮筋。我们表明,其厚度分布可由一个静态模型很好地描述:在该模型中,均匀弹性膜在自身重量作用下被拉伸。这导致指数型厚度分布,其特征长度由重力与表面弹性之间的竞争给出。前因子由膜的形状和面积确定,而膜的形状和面积不仅受鱼线运动控制,还受泡沫膜从侧向弯液面的连续抽出控制;这些弯液面比中央部分更厚,并逐渐从膜的侧向边界侵入膜内。我们提出的模型捕捉了重力、膜弹性和膜抽出之间微妙的相互作用,所得预测与我们的实验数据高度吻合。

英文摘要:

Production, drainage and stability of foams films, i.e. films in contact with their menisci, are fascinating problems that remain still unsolved. In this article, we propose to explore the regime of large velocities and large film sizes. This one is not accessible in experiments classically conducted in the literature, and allows us to study the regime of large extension and large extension rates. With our setup, we make soap films up to two meters high by pulling a horizontal fishing line driven by belts out of a soapy solution at velocities ranging from 20~cm/s to 250~cm/s. We characterize the thickness profile of the central part of the film that behaves like a rubber band under tension. We show that its thickness profile is well described by a static model in which a homogeneous elastic film is stretched by its own weight. This leads to an exponential thickness profile with a characteristic length given by a competition between gravity and surface elasticity. The prefactor is fixed by the shape and area of the film, governed by the fishing line motion but also by a continuous extraction of foam film from the lateral menisci, thicker than the central part, and that progressively invades the film from its lateral boundaries. The model we propose captures the subtle interplay between gravity, film elasticity and film extraction and leads to predictions in good agreement with our experimental data.

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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