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Relaxation of a highly deformed elastic filament at a fluid interface

Relaxation of a highly deformed elastic filament at a fluid interface We perform experiments to investigate the relaxation of a highly deformed elastic filament at a liquid-air interface. The dynamics for filaments of differing length, diameter, and elastic modulus collapse to a single curve when the time dependence is scaled by a time scale τ = 8 π μ L o 4 / B . Even though the time τ is obtained by comparing the linear bending and viscous forces, we find that it also controls the relaxation in the highly nonlinear regime of our experiments. The relaxation, however, is completed in a very small fraction of the time τ due to a prefactor that changes with the tension in the nonlinear regime. Nonlinear numerical simulations show that the force due to tension along the filament is comparable to the bending force, producing a net elastic restoring force that is much smaller than either term. We perform particle image velocimetry at the liquid-air interface to support the results of the numerics. Finally, we find that when the filament is initialized in asymmetric shapes, it rapidly goes to a shape with symmetric stresses. This symmetrization process is entirely nonlinear; we show that the symmetric curvature state minimizes energy at arbitrarily large deformation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Fluids American Physical Society (APS)

Relaxation of a highly deformed elastic filament at a fluid interface

Relaxation of a highly deformed elastic filament at a fluid interface

Physical Review Fluids , Volume 1 (3): 12 – Jul 8, 2016

Abstract

We perform experiments to investigate the relaxation of a highly deformed elastic filament at a liquid-air interface. The dynamics for filaments of differing length, diameter, and elastic modulus collapse to a single curve when the time dependence is scaled by a time scale τ = 8 π μ L o 4 / B . Even though the time τ is obtained by comparing the linear bending and viscous forces, we find that it also controls the relaxation in the highly nonlinear regime of our experiments. The relaxation, however, is completed in a very small fraction of the time τ due to a prefactor that changes with the tension in the nonlinear regime. Nonlinear numerical simulations show that the force due to tension along the filament is comparable to the bending force, producing a net elastic restoring force that is much smaller than either term. We perform particle image velocimetry at the liquid-air interface to support the results of the numerics. Finally, we find that when the filament is initialized in asymmetric shapes, it rapidly goes to a shape with symmetric stresses. This symmetrization process is entirely nonlinear; we show that the symmetric curvature state minimizes energy at arbitrarily large deformation.

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Publisher
American Physical Society (APS)
Copyright
©2016 American Physical Society
Subject
ARTICLES; Interfacial flows, droplets
ISSN
2469-990X
eISSN
2469-990X
DOI
10.1103/PhysRevFluids.1.033903
Publisher site
See Article on Publisher Site

Abstract

We perform experiments to investigate the relaxation of a highly deformed elastic filament at a liquid-air interface. The dynamics for filaments of differing length, diameter, and elastic modulus collapse to a single curve when the time dependence is scaled by a time scale τ = 8 π μ L o 4 / B . Even though the time τ is obtained by comparing the linear bending and viscous forces, we find that it also controls the relaxation in the highly nonlinear regime of our experiments. The relaxation, however, is completed in a very small fraction of the time τ due to a prefactor that changes with the tension in the nonlinear regime. Nonlinear numerical simulations show that the force due to tension along the filament is comparable to the bending force, producing a net elastic restoring force that is much smaller than either term. We perform particle image velocimetry at the liquid-air interface to support the results of the numerics. Finally, we find that when the filament is initialized in asymmetric shapes, it rapidly goes to a shape with symmetric stresses. This symmetrization process is entirely nonlinear; we show that the symmetric curvature state minimizes energy at arbitrarily large deformation.

Journal

Physical Review FluidsAmerican Physical Society (APS)

Published: Jul 8, 2016

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