Vibration-induced Liquefaction of Granular Suspensions

Hanotin, Caroline; Richter, Sébastien Kiesgen de; Marchal, Pierre; Michot, Laurent J.; Baravian, Christophe

doi:10.1103/physrevlett.108.198301

Cited by 47 publications

(69 citation statements)

References 23 publications

(25 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In such systems, understanding the viscoelastic behavior will require taking into account, in addition to vibrations, effects related to the viscosity of the interstitial fluid. We recently evidenced coupling between these two parameters [53] and it would be particularly relevant to see if the viscosity of the suspending fluid could be introduced in a kinetic equation [Eq. (3)], to derive for granular suspensions a similar self-consistent approach as that derived for dry granular systems.…”

Section: Discussionmentioning

confidence: 99%

Two-state model to describe the rheological behavior of vibrated granular matter

et al. 2013

Self Cite

View full text Add to dashboard Cite

In this paper, we present a model aimed at predicting the rheological response of a 3D dry granular system to nonstationary mechanical solicitations, subjected or not to vibrations. This model is based on a phenomenological two-state approach related to the inherent bimodal behavior of chain forces in granular packing. It is set up from a kinetic equation describing the dynamics of the contact network. To allow experimental assessment, the kinetic equation is transformed into a differential constitutive equation, relating stress to strain, from which rheological properties can be derived. Its integration allows predicting and describing several rheological behaviors, in stationary and nonstationary conditions, including viscous (Newtonian) and frictional (Coulombian) regimes, as well as elastic linear (Hookean and Maxwellian) and nonlinear behaviors. Despite its simplicity, since it involves only three independent parameters, the model is in very close agreement with experiments. Moreover, within experimental errors, the values of these parameters are independent of the type of test used to determine them, evidence of the self-consistency of the model.

show abstract

Section: Discussionmentioning

confidence: 99%

Two-state model to describe the rheological behavior of vibrated granular matter

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…Besides pure interests, understanding the effects of external vibrations on the rheology of granular suspensions is relevant for the optimization of their transport, storage, or mixing properties in industrial processes or for a better understanding of natural phenomena such as soils liquefaction 1 or landslides. In that context, we recently analyzed the rheological behavior of concentrated gravitational suspensions subjected to vibrations, in steady state flow [Hanotin et al (2012)], for particular Reynolds numbers Re p smaller than 1. For dense granular suspensions of spherical particles (with diameter d) immersed in a Newtonian fluid of viscosity g f and subjected to sinusoidal vibrations (amplitude A and frequency f), Re p ¼ DqAð2pf Þd=g f ; where Dq is the density difference between the beads and fluid.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, at low shear stress, vibrations strongly affect suspension viscosity with the appearance of a viscous Newtonian plateau g 0 whose value depends on vibration energy, bead size, and suspending fluid viscosity. All these effects can be captured by defining one dimensionless number, the lubrication Peclet number defined by Pe lub ¼ r lub =r f ¼ g f Að2pf Þ=lP g d, where A and f are the vibration amplitude and frequency, respectively, g f is the suspending fluid viscosity, d is the bead diameter, l is the effective friction coefficient of the medium, and P g is the granular pressure [Hanotin et al (2012)]. Pe lub can be seen as the ratio between the lubrication stress r lub / g f Að2pf Þ=d that controls the repulsion between grains and facilitates their displacements and the frictional stress r f ¼ lP g that ensures the internal stability of the packing.…”

Section: Introductionmentioning

confidence: 99%

Viscoelasticity of vibrated granular suspensions

Hanotin¹,

Richter²,

Michot³

et al. 2014

Journal of Rheology

Self Cite

View full text Add to dashboard Cite

Published by the The Society of RheologyArticles you may be interested in Rheology of viscoelastic suspensions of spheres under small and large amplitude oscillatory shear by numerical simulations J. Rheol. 57, 813 (2013); 10.1122/1.4798626 Rheology of concentrated carbon nanotube suspensions SynopsisWe propose, in this paper, a model for predicting the rheological response of both vibrated and sheared 3D granular suspensions in stationary and nonstationary conditions. The major assumption of this model is the inherent bimodal behavior of chain forces in granular packings. The model is set up from a kinetic equation describing the dynamic exchange between a population of strongly correlated caged particles and a population of slightly correlated free particles. To compare the predictions of the model to experimental results, the kinetic equation is transformed into a differential constitutive equation, relating stress to strain, by including the effect of the interstitial fluid on the suspension. With only four adjustable parameters intrinsic to the system (i.e., independent of the type of rheological test used), the model is in very close agreement with experiments. Despite the fact that our approach remains at a mean-field level, it is able to predict and describe several rheological behaviors, in stationary, nonstationary conditions, linear and nonlinear regimes, including Newtonian and frictional Coulombian regimes, as well as elastic Hookean and viscoelastic Maxwellian behaviors. It then appears that this two-state approach allows capturing both the viscoelastic behavior of dry granular materials and granular suspensions. Vibrated dense suspensions and granular media are thus unified under a common framework. V C 2015 The Society of Rheology. [http://dx.

show abstract

“…Classical methods for perturbing grain assemblies include shear [43][44][45][46], vertical vibrations [47][48][49], thermal cycling [40] and injection/suction of an interstitial fluid [50][51][52]. They all involve a global driving of the material at the scale of the container.…”

Section: Comparison With Previous Studiesmentioning

confidence: 99%

Grains unchained: local fluidization of a granular packing by focused ultrasound

2016

View full text Add to dashboard Cite

We report experimental results on the dynamics of a granular packing submitted to high-intensity focused ultrasound. Acoustic radiation pressure is shown to remotely induce local rearrangements within a pile as well as global motion around the focal spot in an initially jammed system. We demonstrate that this fluidization process is intermittent for a range of acoustic pressures and hysteretic when the pressure is cycled. Such a first-order-like unjamming transition is reproduced in numerical simulations in which the acoustic pressure field is modeled by a localized external force. Further analysis of the simulated packings suggests that in the intermittent regime unjamming is not associated with any noticeable prior structural signature. A simple two-state model based on effective temperatures is proposed to account for these findings.

show abstract

Vibration-induced Liquefaction of Granular Suspensions

Cited by 47 publications

References 23 publications

Two-state model to describe the rheological behavior of vibrated granular matter

Two-state model to describe the rheological behavior of vibrated granular matter

Viscoelasticity of vibrated granular suspensions

Grains unchained: local fluidization of a granular packing by focused ultrasound

Contact Info

Product

Resources

About