旋转泰勒游泳片的渐近逼近

IF 1 4区工程技术 Q4 MECHANICS

Comptes Rendus Mecanique Pub Date : 2021-03-04 DOI:10.5802/CRMECA.75

G. Corsi

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引用次数: 0

摘要

在低雷诺数极限下，研究了粘性流体与圆形预应力活动壳的相互作用。泰勒的一篇开创性论文代表了这类问题的基准。在这里，受相同方法的启发，我们用渐近技术确定了壳在被驱动时曲率的特定变化下可能的游动运动。我们确认了之前得到的数值结果，并强调了一个问题的结构，这个问题与泰勒的问题相似，因此代表了斯托克游泳的一个简单例子。

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Asymptotic approach to a rotational Taylor swimming sheet

The interaction of a viscous fluid and a circular, pre-stressed active shell is studied in the limit of low Reynolds numbers. A seminal paper of Taylor represents a benchmark for this class of problems. Here, inspired by the same approach, we determine with asymptotic techniques the possible swimming motions of the shell for the particular changes of curvature that it can achieve when actuated. We confirm numerical results obtained previously, and highlight the structure of a problem that turns out to be similar to that of Taylor, and as such represents a simple example of Stokesian swimming.

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来源期刊

Comptes Rendus Mecanique 物理-力学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.