Instability of elastic filaments in shear flow yields first-normal-stress differences

Leif E. Becker, Michael Shelley

Research output: Contribution to journalArticle

Abstract

Using slender-body hydrodynamics, we study the flow-induced deformation of a high-aspect-ratio elastic filament. For a filament of zero rest curvature rotating in a viscous linear shear flow, our model predicts a bifurcation to shape instabilities due to compression by the flow, in agreement with experimental observations. Further, nonlinear simulations of this shape instability show that in dilute solutions, flexibility of the fibers causes both increased shear thinning as well as significant nonzero first-normal-stress differences. These stress differences are positive for small-to-moderate deformations, but negative for large-amplitude flexing of the fibers.

Original languageEnglish (US)
Pages (from-to)198301-1-198301-4
JournalPhysical Review Letters
Volume87
Issue number19
DOIs
StatePublished - Nov 5 2001

Fingerprint

shear flow
filaments
slender bodies
fibers
shear thinning
flexing
high aspect ratio
flexibility
hydrodynamics
curvature
causes
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Instability of elastic filaments in shear flow yields first-normal-stress differences. / Becker, Leif E.; Shelley, Michael.

In: Physical Review Letters, Vol. 87, No. 19, 05.11.2001, p. 198301-1-198301-4.

Research output: Contribution to journalArticle

Becker, Leif E. ; Shelley, Michael. / Instability of elastic filaments in shear flow yields first-normal-stress differences. In: Physical Review Letters. 2001 ; Vol. 87, No. 19. pp. 198301-1-198301-4.
@article{85594b6b5d6e4b96883359acd2abfa4e,
title = "Instability of elastic filaments in shear flow yields first-normal-stress differences",
abstract = "Using slender-body hydrodynamics, we study the flow-induced deformation of a high-aspect-ratio elastic filament. For a filament of zero rest curvature rotating in a viscous linear shear flow, our model predicts a bifurcation to shape instabilities due to compression by the flow, in agreement with experimental observations. Further, nonlinear simulations of this shape instability show that in dilute solutions, flexibility of the fibers causes both increased shear thinning as well as significant nonzero first-normal-stress differences. These stress differences are positive for small-to-moderate deformations, but negative for large-amplitude flexing of the fibers.",
author = "Becker, {Leif E.} and Michael Shelley",
year = "2001",
month = "11",
day = "5",
doi = "10.1103/PhysRevLett.87.198301",
language = "English (US)",
volume = "87",
pages = "198301--1--198301--4",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "19",

}

TY - JOUR

T1 - Instability of elastic filaments in shear flow yields first-normal-stress differences

AU - Becker, Leif E.

AU - Shelley, Michael

PY - 2001/11/5

Y1 - 2001/11/5

N2 - Using slender-body hydrodynamics, we study the flow-induced deformation of a high-aspect-ratio elastic filament. For a filament of zero rest curvature rotating in a viscous linear shear flow, our model predicts a bifurcation to shape instabilities due to compression by the flow, in agreement with experimental observations. Further, nonlinear simulations of this shape instability show that in dilute solutions, flexibility of the fibers causes both increased shear thinning as well as significant nonzero first-normal-stress differences. These stress differences are positive for small-to-moderate deformations, but negative for large-amplitude flexing of the fibers.

AB - Using slender-body hydrodynamics, we study the flow-induced deformation of a high-aspect-ratio elastic filament. For a filament of zero rest curvature rotating in a viscous linear shear flow, our model predicts a bifurcation to shape instabilities due to compression by the flow, in agreement with experimental observations. Further, nonlinear simulations of this shape instability show that in dilute solutions, flexibility of the fibers causes both increased shear thinning as well as significant nonzero first-normal-stress differences. These stress differences are positive for small-to-moderate deformations, but negative for large-amplitude flexing of the fibers.

UR - http://www.scopus.com/inward/record.url?scp=84930210674&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84930210674&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.87.198301

DO - 10.1103/PhysRevLett.87.198301

M3 - Article

VL - 87

SP - 198301-1-198301-4

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

ER -