### Abstract

We report experiments studying the dynamics of dense non-Brownian fiber suspensions subjected to periodic oscillatory shear. We find that periodic shear initially causes fibers to collide and to undergo irreversible diffusion. As time progresses, the fibers tend to orient in the vorticity direction while the number of collisions decreases. Ultimately, the system goes to one of two steady states: an absorbing steady state, where collisions cease and the fibers undergo reversible trajectories; an active state, where fibers continue to collide causing them to diffuse and undergo irreversible trajectories. Collisions between fibers can be characterized by an effective volume fraction Φ with a critical volume fraction Φ_{c} that separates absorbing from active (diffusing) steady states. The effective volume fraction Φ depends on the mean fiber orientation and thus decreases in time as fibers progressively orient under periodic shear. In the limit that the temporal evolution of Φ is slow compared to the activity relaxation time τ, all the data for all strain amplitudes and all concentrations can be scaled onto a single master curve with a functional dependence well-described by t-β/νRe_{-t}R, where t_{R} is the rescaled time. As Φ → Φ_{c}, τ diverges. Therefore, for experiments in which Φ(t) starts above Φ_{c} but goes to a steady state below Φ_{c}, departures from scaling are observed for Φ very near Φ_{c}. The critical exponents are measured to be β = 0.84 ± 0.04 and ν = 1.1 ± 0.1, which is consistent with the Manna universality class for directed percolation. This journal is

Original language | English (US) |
---|---|

Pages (from-to) | 6722-6731 |

Number of pages | 10 |

Journal | Soft Matter |

Volume | 10 |

Issue number | 35 |

DOIs | |

State | Published - Sep 21 2014 |

### Fingerprint

### ASJC Scopus subject areas

- Chemistry(all)
- Condensed Matter Physics

### Cite this

*Soft Matter*,

*10*(35), 6722-6731. https://doi.org/10.1039/c4sm00555d

**Dynamics of non-Brownian fiber suspensions under periodic shear.** / Franceschini, Alexandre; Filippidi, Emmanouela; Guazzelli, Elisabeth; Pine, David J.

Research output: Contribution to journal › Article

*Soft Matter*, vol. 10, no. 35, pp. 6722-6731. https://doi.org/10.1039/c4sm00555d

}

TY - JOUR

T1 - Dynamics of non-Brownian fiber suspensions under periodic shear

AU - Franceschini, Alexandre

AU - Filippidi, Emmanouela

AU - Guazzelli, Elisabeth

AU - Pine, David J.

PY - 2014/9/21

Y1 - 2014/9/21

N2 - We report experiments studying the dynamics of dense non-Brownian fiber suspensions subjected to periodic oscillatory shear. We find that periodic shear initially causes fibers to collide and to undergo irreversible diffusion. As time progresses, the fibers tend to orient in the vorticity direction while the number of collisions decreases. Ultimately, the system goes to one of two steady states: an absorbing steady state, where collisions cease and the fibers undergo reversible trajectories; an active state, where fibers continue to collide causing them to diffuse and undergo irreversible trajectories. Collisions between fibers can be characterized by an effective volume fraction Φ with a critical volume fraction Φc that separates absorbing from active (diffusing) steady states. The effective volume fraction Φ depends on the mean fiber orientation and thus decreases in time as fibers progressively orient under periodic shear. In the limit that the temporal evolution of Φ is slow compared to the activity relaxation time τ, all the data for all strain amplitudes and all concentrations can be scaled onto a single master curve with a functional dependence well-described by t-β/νRe-tR, where tR is the rescaled time. As Φ → Φc, τ diverges. Therefore, for experiments in which Φ(t) starts above Φc but goes to a steady state below Φc, departures from scaling are observed for Φ very near Φc. The critical exponents are measured to be β = 0.84 ± 0.04 and ν = 1.1 ± 0.1, which is consistent with the Manna universality class for directed percolation. This journal is

AB - We report experiments studying the dynamics of dense non-Brownian fiber suspensions subjected to periodic oscillatory shear. We find that periodic shear initially causes fibers to collide and to undergo irreversible diffusion. As time progresses, the fibers tend to orient in the vorticity direction while the number of collisions decreases. Ultimately, the system goes to one of two steady states: an absorbing steady state, where collisions cease and the fibers undergo reversible trajectories; an active state, where fibers continue to collide causing them to diffuse and undergo irreversible trajectories. Collisions between fibers can be characterized by an effective volume fraction Φ with a critical volume fraction Φc that separates absorbing from active (diffusing) steady states. The effective volume fraction Φ depends on the mean fiber orientation and thus decreases in time as fibers progressively orient under periodic shear. In the limit that the temporal evolution of Φ is slow compared to the activity relaxation time τ, all the data for all strain amplitudes and all concentrations can be scaled onto a single master curve with a functional dependence well-described by t-β/νRe-tR, where tR is the rescaled time. As Φ → Φc, τ diverges. Therefore, for experiments in which Φ(t) starts above Φc but goes to a steady state below Φc, departures from scaling are observed for Φ very near Φc. The critical exponents are measured to be β = 0.84 ± 0.04 and ν = 1.1 ± 0.1, which is consistent with the Manna universality class for directed percolation. This journal is

UR - http://www.scopus.com/inward/record.url?scp=84906214858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84906214858&partnerID=8YFLogxK

U2 - 10.1039/c4sm00555d

DO - 10.1039/c4sm00555d

M3 - Article

VL - 10

SP - 6722

EP - 6731

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 35

ER -