A neutrally stable shell in a Stokes flow: a rotational Taylor's sheet - Mécanique et Ingénierie des Solides Et des Structures
Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2019

A neutrally stable shell in a Stokes flow: a rotational Taylor's sheet

Résumé

In a seminal paper published in 1951, Taylor studied the interactions between a viscous fluid and an immersed flat sheet which is subjected to a travelling wave of transversal displacement. The net reaction of the fluid over the sheet turned out to be a force in the direction of the wave phase-speed. This effect is a key mechanism for the swimming of microorganisms in viscous fluids. Here, we study the interaction between a viscous fluid and a special class of non-linear morphing shells. We consider pre-stressed shells showing a one-dimensional set of neutrally-stable equilibria with almost cylindrical configurations. Their shape can be effectively controlled through embedded active materials, generating a large-amplitude shape-wave associated to precession of the axis of maximal curvature. We show that this shape-wave constitutes the rotational analogue of a Taylor's sheet, where the translational swimming velocity is replaced by an angular velocity. Despite the net force acting on the shell vanishes, the resultant torque does not. A similar mechanism can be used to maneuver in viscous fluids.
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Dates et versions

hal-02301942 , version 1 (30-09-2019)

Identifiants

Citer

G. Corsi, A Desimone, C. Maurini, Stefano Vidoli. A neutrally stable shell in a Stokes flow: a rotational Taylor's sheet. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019, 475 (2227), pp.20190178. ⟨10.1098/rspa.2019.0178⟩. ⟨hal-02301942⟩
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