Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N18: Fluids VIII
11:30 AM–2:18 PM,
Wednesday, March 8, 2023
Room: Room 210
Sponsoring
Unit:
DFD
Chair: Panklaj Rohilla, Georgia Institute of Technology
Abstract: N18.00012 : Water entry of steel spheres in the presence of an ultra-thin elastic membrane
2:06 PM–2:18 PM
Presenter:
Domenic McArthur
(University of Massachusetts Amherst)
Authors:
Domenic McArthur
(University of Massachusetts Amherst)
Varghese Mathai
(UMass Amherst)
MATHAI, University of Massachusetts, Amherst — We study water
entry of steel spheres in the presence of an ultrasoft, thin elastic mem-
brane, a few hundred microns in thickness, floating on a free surface.
The presence of the thin elastic layer of negligible inertia establishes an
air-water interface that can sustain a strain-dependent surface tension.
As the sphere impacts the free surface, we observe the formation of a
dynamically elongating and propagating deformation front surrounding
the impacting body (which elastically stores the energy in the membrane
material), and an outer zone where radial wrinkles gradually develop be-
fore the membrane eventually gets pulled down by the descending sphere.
During the first stage of impact and elongation, the outer zone beyond
the deformation front of the membrane is unperturbed by the impact
and penetration of the sphere. Following this stage, the stretched mem-
brane relaxes and recoils while pivoting on the sphere. Remarkably, we
observe regimes when the ultrathin floating film is able to elastically
absorb all of the kinetic energy of the impactor and dissipate it into the
surrounding fluid motion. We map out the water entry behavior over a
range of dimensionless groups including the Weber number and Froude
number as well as the membrane parameter, such as the elasto-inertial
number.
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