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Path instabilities of streamlined bodies

Published online by Cambridge University Press:  07 February 2019

Thibault Guillet*
Affiliation:
LadHyX, UMR 7636, CNRS, Ecole polytechnique, 91128 Palaiseau, France PMMH, UMR 7646, CNRS, ESPCI, 75005 Paris, France
Martin Coux
Affiliation:
LadHyX, UMR 7636, CNRS, Ecole polytechnique, 91128 Palaiseau, France PMMH, UMR 7646, CNRS, ESPCI, 75005 Paris, France
David Quéré
Affiliation:
LadHyX, UMR 7636, CNRS, Ecole polytechnique, 91128 Palaiseau, France PMMH, UMR 7646, CNRS, ESPCI, 75005 Paris, France
Christophe Clanet
Affiliation:
LadHyX, UMR 7636, CNRS, Ecole polytechnique, 91128 Palaiseau, France PMMH, UMR 7646, CNRS, ESPCI, 75005 Paris, France
*
Email address for correspondence: [email protected]

Abstract

We study the trajectory and the maximum diving depth of floating axisymmetric streamlined bodies impacting water with a vertical velocity. Three different types of underwater trajectory can be observed. For a centre of mass of the projectile located close to its leading edge, the trajectory is either straight at low velocity or y-shaped at high velocity. When the centre of mass is far from the leading edge, the trajectory has a U-shape, independent of the initial velocity. We first characterize experimentally the aerodynamic properties of the projectile and then solve the equations of motion to recover the three types of trajectories. We finally discuss the transitions between the different regimes.

Type
JFM Papers
Copyright
© 2019 Cambridge University Press 

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