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Is the Zero Reynolds Number Approximation Valid for Ciliary Flows? / Wei, Da; Dehnavi, Parviz Ghoddoosi; Aubin-Tam, Marie Eve; Tam, Daniel.

In: Physical Review Letters, Vol. 122, No. 12, 124502, 2019.

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@article{8c0213c084f9489d9b094a01e78dd4d7,
title = "Is the Zero Reynolds Number Approximation Valid for Ciliary Flows?",
abstract = "Stokes equations are commonly used to model the hydrodynamic flow around cilia on the micron scale. The validity of the zero Reynolds number approximation is investigated experimentally with a flow velocimetry approach based on optical tweezers, which allows the measurement of periodic flows with high spatial and temporal resolution. We find that beating cilia generate a flow, which fundamentally differs from the stokeslet field predicted by Stokes equations. In particular, the flow velocity spatially decays at a faster rate and is gradually phase delayed at increasing distances from the cilia. This indicates that the quasisteady approximation and use of Stokes equations for unsteady ciliary flow are not always justified and the finite timescale for vorticity diffusion cannot be neglected. Our results have significant implications in studies of synchronization and collective dynamics of microswimmers.",
author = "Da Wei and Dehnavi, {Parviz Ghoddoosi} and Aubin-Tam, {Marie Eve} and Daniel Tam",
year = "2019",
doi = "10.1103/PhysRevLett.122.124502",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "12",

}

RIS

TY - JOUR

T1 - Is the Zero Reynolds Number Approximation Valid for Ciliary Flows?

AU - Wei, Da

AU - Dehnavi, Parviz Ghoddoosi

AU - Aubin-Tam, Marie Eve

AU - Tam, Daniel

PY - 2019

Y1 - 2019

N2 - Stokes equations are commonly used to model the hydrodynamic flow around cilia on the micron scale. The validity of the zero Reynolds number approximation is investigated experimentally with a flow velocimetry approach based on optical tweezers, which allows the measurement of periodic flows with high spatial and temporal resolution. We find that beating cilia generate a flow, which fundamentally differs from the stokeslet field predicted by Stokes equations. In particular, the flow velocity spatially decays at a faster rate and is gradually phase delayed at increasing distances from the cilia. This indicates that the quasisteady approximation and use of Stokes equations for unsteady ciliary flow are not always justified and the finite timescale for vorticity diffusion cannot be neglected. Our results have significant implications in studies of synchronization and collective dynamics of microswimmers.

AB - Stokes equations are commonly used to model the hydrodynamic flow around cilia on the micron scale. The validity of the zero Reynolds number approximation is investigated experimentally with a flow velocimetry approach based on optical tweezers, which allows the measurement of periodic flows with high spatial and temporal resolution. We find that beating cilia generate a flow, which fundamentally differs from the stokeslet field predicted by Stokes equations. In particular, the flow velocity spatially decays at a faster rate and is gradually phase delayed at increasing distances from the cilia. This indicates that the quasisteady approximation and use of Stokes equations for unsteady ciliary flow are not always justified and the finite timescale for vorticity diffusion cannot be neglected. Our results have significant implications in studies of synchronization and collective dynamics of microswimmers.

UR - http://www.scopus.com/inward/record.url?scp=85064042063&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.124502

DO - 10.1103/PhysRevLett.122.124502

M3 - Article

VL - 122

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 12

M1 - 124502

ER -

ID: 53313750