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Hydroelastic effects during the fast lifting of a disc from a water surface

Published online by Cambridge University Press:  02 May 2019

P. Vega-Martínez ,
J. Rodríguez-Rodríguez Open the ORCID record for J. Rodríguez-Rodríguez [Opens in a new window] ,
T. I. Khabakhpasheva  and
A. A. Korobkin
P. Vega-Martínez*
Affiliation:
Fluid Mechanics Group, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain
J. Rodríguez-Rodríguez
Affiliation:
Fluid Mechanics Group, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain
T. I. Khabakhpasheva
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
A. A. Korobkin
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
*
†Email address for correspondence: [email protected]
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Abstract

Here we report the results of an experimental study where we measure the hydrodynamic force acting on a plate which is lifted from a water surface, suddenly starting to move upwards with an acceleration much larger than gravity. Our work focuses on the early stage of the plate motion, when the hydrodynamic suction forces due to the liquid inertia are the most relevant ones. Besides the force, we measure as well the acceleration at the centre of the plate and the time evolution of the wetted area. The results of this study show that, at very early stages, the hydrodynamic force can be estimated by a simple extension of the linear exit theory by Korobkin (J. Fluid Mech., vol. 737, 2013, pp. 368–386), which incorporates an added mass to the body dynamics. However, at longer times, the measured acceleration decays even though the applied external force continues to increase. Moreover, high-speed recordings of the disc displacement and the radius of the wetted area reveal that the latter does not change before the disc acceleration reaches its maximum value. We show in this paper that these phenomena are caused by the elastic deflection of the disc during the initial transient stage of water exit. We present a linearised model of water exit that accounts for the elastic behaviour of the lifted body. The results obtained with this new model agree fairly well with the experimental results.

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 869 , 25 June 2019 , pp. 726 - 751
Copyright
© 2019 Cambridge University Press 

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Vega-Martínez et al. supplementary movie 1

Top view of the experiment where the blue dashed line marks the diameter of the plate and the red dotted line traces the detection of the contact line during 6 ms. Images are acquired at 15 000 f.p.s.

Download Vega-Martínez et al. supplementary movie 1(Video)
Video 6.7 MB

Vega-Martínez et al. supplementary movie 2

Side view of the experiment where the height of the plate's edge is measured the during 6 ms. Images are acquired at 15 000 f.p.s.

Download Vega-Martínez et al. supplementary movie 2(Video)
Video 4.9 MB