A Stokesian viscoelastic flow: Transition to oscillations and mixing

Becca Thomases, Michael Shelley, Jean Luc Thiffeault

Research output: Contribution to journalArticle

Abstract

To understand observations of low Reynolds number mixing and flow transitions in viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid model. The fluid is driven by a simple time-independent forcing that, in the absence of viscoelastic stresses, creates a cellular flow with extensional stagnation points. We find that at O(1) Weissenberg number, these flows lose their slaving to the forcing geometry of the background force, become oscillatory with multiple frequencies, and show continual formation and destruction of small-scale vortices. This drives flow mixing, the details of which we closely examine. These new flow states are dominated by a single-quadrant vortex, which may be stationary or cycle persistently from cell to cell.

Original languageEnglish (US)
Pages (from-to)1602-1614
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume240
Issue number20
DOIs
StatePublished - Oct 1 2011

Fingerprint

viscoelasticity
oscillations
fluids
vortices
transition flow
stagnation point
quadrants
low Reynolds number
cells
destruction
cycles
geometry

Keywords

  • Instability
  • Microfluidics
  • Mixing
  • Viscoelasticity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

A Stokesian viscoelastic flow : Transition to oscillations and mixing. / Thomases, Becca; Shelley, Michael; Thiffeault, Jean Luc.

In: Physica D: Nonlinear Phenomena, Vol. 240, No. 20, 01.10.2011, p. 1602-1614.

Research output: Contribution to journalArticle

Thomases, Becca ; Shelley, Michael ; Thiffeault, Jean Luc. / A Stokesian viscoelastic flow : Transition to oscillations and mixing. In: Physica D: Nonlinear Phenomena. 2011 ; Vol. 240, No. 20. pp. 1602-1614.
@article{bd5d43b3694647eb9ea700165afdc817,
title = "A Stokesian viscoelastic flow: Transition to oscillations and mixing",
abstract = "To understand observations of low Reynolds number mixing and flow transitions in viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid model. The fluid is driven by a simple time-independent forcing that, in the absence of viscoelastic stresses, creates a cellular flow with extensional stagnation points. We find that at O(1) Weissenberg number, these flows lose their slaving to the forcing geometry of the background force, become oscillatory with multiple frequencies, and show continual formation and destruction of small-scale vortices. This drives flow mixing, the details of which we closely examine. These new flow states are dominated by a single-quadrant vortex, which may be stationary or cycle persistently from cell to cell.",
keywords = "Instability, Microfluidics, Mixing, Viscoelasticity",
author = "Becca Thomases and Michael Shelley and Thiffeault, {Jean Luc}",
year = "2011",
month = "10",
day = "1",
doi = "10.1016/j.physd.2011.06.011",
language = "English (US)",
volume = "240",
pages = "1602--1614",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "20",

}

TY - JOUR

T1 - A Stokesian viscoelastic flow

T2 - Transition to oscillations and mixing

AU - Thomases, Becca

AU - Shelley, Michael

AU - Thiffeault, Jean Luc

PY - 2011/10/1

Y1 - 2011/10/1

N2 - To understand observations of low Reynolds number mixing and flow transitions in viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid model. The fluid is driven by a simple time-independent forcing that, in the absence of viscoelastic stresses, creates a cellular flow with extensional stagnation points. We find that at O(1) Weissenberg number, these flows lose their slaving to the forcing geometry of the background force, become oscillatory with multiple frequencies, and show continual formation and destruction of small-scale vortices. This drives flow mixing, the details of which we closely examine. These new flow states are dominated by a single-quadrant vortex, which may be stationary or cycle persistently from cell to cell.

AB - To understand observations of low Reynolds number mixing and flow transitions in viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid model. The fluid is driven by a simple time-independent forcing that, in the absence of viscoelastic stresses, creates a cellular flow with extensional stagnation points. We find that at O(1) Weissenberg number, these flows lose their slaving to the forcing geometry of the background force, become oscillatory with multiple frequencies, and show continual formation and destruction of small-scale vortices. This drives flow mixing, the details of which we closely examine. These new flow states are dominated by a single-quadrant vortex, which may be stationary or cycle persistently from cell to cell.

KW - Instability

KW - Microfluidics

KW - Mixing

KW - Viscoelasticity

UR - http://www.scopus.com/inward/record.url?scp=80054026934&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80054026934&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2011.06.011

DO - 10.1016/j.physd.2011.06.011

M3 - Article

VL - 240

SP - 1602

EP - 1614

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 20

ER -