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Title: Membrane-induced hydroelastic migration of a particle surfing its own wave

Abstract

While coupling between fluid flow and soft elastic surfaces is common in biology and engineering, an analytical description is challenging as it often involves non-linear dynamics. Here we show using theory and experiments that a small particle moving along an elastic membrane through a viscous fluid is repelled from the membrane due to hydroelastic forces. The flow field produces an elastic disturbance in the membrane leading to particle–wave coupling. We derive an analytic expression for the particle trajectory and find that the normal migration velocity of the particle is quadratic in its speed and depends on a combination of the tension and bending resistance of the membrane. Experimentally, we measure the normal displacement of spheres sedimenting under gravity along a suspended elastic membrane and find quantitative agreement with the theoretical predictions with no fitting parameters. We experimentally demonstrate that the effect is strong enough for separation and sorting of particles on the basis of both their size and density. We discuss the significance of our results for particles interacting with biological membranes, and propose the use of our model for membrane elasticity measurements.

Authors:
; ; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES); Northwestern Univ., Evanston, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1566620
DOE Contract Number:  
SC0000989
Resource Type:
Journal Article
Journal Name:
Nature Physics
Additional Journal Information:
Journal Volume: 14; Journal Issue: 12; Journal ID: ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)
Country of Publication:
United States
Language:
English
Subject:
catalysis (homogeneous), solar (photovoltaic), bio-inspired, charge transport, mesostructured materials, materials and chemistry by design, synthesis (novel materials), synthesis (self-assembly)

Citation Formats

Rallabandi, Bhargav, Oppenheimer, Naomi, Ben Zion, Matan Yah, and Stone, Howard A. Membrane-induced hydroelastic migration of a particle surfing its own wave. United States: N. p., 2018. Web. doi:10.1038/s41567-018-0272-z.
Rallabandi, Bhargav, Oppenheimer, Naomi, Ben Zion, Matan Yah, & Stone, Howard A. Membrane-induced hydroelastic migration of a particle surfing its own wave. United States. doi:10.1038/s41567-018-0272-z.
Rallabandi, Bhargav, Oppenheimer, Naomi, Ben Zion, Matan Yah, and Stone, Howard A. Mon . "Membrane-induced hydroelastic migration of a particle surfing its own wave". United States. doi:10.1038/s41567-018-0272-z.
@article{osti_1566620,
title = {Membrane-induced hydroelastic migration of a particle surfing its own wave},
author = {Rallabandi, Bhargav and Oppenheimer, Naomi and Ben Zion, Matan Yah and Stone, Howard A.},
abstractNote = {While coupling between fluid flow and soft elastic surfaces is common in biology and engineering, an analytical description is challenging as it often involves non-linear dynamics. Here we show using theory and experiments that a small particle moving along an elastic membrane through a viscous fluid is repelled from the membrane due to hydroelastic forces. The flow field produces an elastic disturbance in the membrane leading to particle–wave coupling. We derive an analytic expression for the particle trajectory and find that the normal migration velocity of the particle is quadratic in its speed and depends on a combination of the tension and bending resistance of the membrane. Experimentally, we measure the normal displacement of spheres sedimenting under gravity along a suspended elastic membrane and find quantitative agreement with the theoretical predictions with no fitting parameters. We experimentally demonstrate that the effect is strong enough for separation and sorting of particles on the basis of both their size and density. We discuss the significance of our results for particles interacting with biological membranes, and propose the use of our model for membrane elasticity measurements.},
doi = {10.1038/s41567-018-0272-z},
journal = {Nature Physics},
issn = {1745-2473},
number = 12,
volume = 14,
place = {United States},
year = {2018},
month = {9}
}

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