Continuous or catastrophic solid–liquid transition in jammed systems

Coussot, Philippe; Roussel, Nicolas; Jarny, Sébastien; Chanson, Hubert

doi:10.1063/1.1823531

Cited by 36 publications

(33 citation statements)

References 12 publications

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“…Turned around, perhaps one could use the dambreak as an experimental device to understand and parameterize these effects (especially wall slip). However, it is also not clear that the Herschel-Bulkley fit is adequate of itself; thixotropy, for example, is known to be important in the slumps of some viscoplastic materials [10,11].…”

Section: Discussionmentioning

confidence: 99%

Viscoplastic dam breaks and the Bostwick consistometer

Balmforth

Craster

Perona

et al. 2007

Journal of Non-Newtonian Fluid Mechanics

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We present a theoretical and experimental analysis of the dam break of a viscoplastic fluid in a horizontal channel. A shallow, slow fluid model based on the Herschel-Bulkley constitutive law allows one to characterize the early and late stages of the flow, the final state and the dependence on yield stress and nonlinear viscosity. A particular diagnostic is advanced (time ratios based on the length of time required for the fluid to slump certain distances from the broken dam) that may assist an experimentalist to unravel those dependences. Experiments are conducted with cornsyrup, and aqueous suspensions of xanthan gum, kaolin, carbopol, cornstarch and apple puree. Cornsyrup xanthan gum and kaolin show fair quantitative agreement with theory. Carbopol compares less favourably, due primarily to inertial effects which are missing from the theory. The results for cornstarch confirm that it is shear thickening, but its detailed rheology remains unknown (and unexplored).Apple puree also appears to compare well with theory, although repeating the dam break in a roughened channel leads to substantially different results, suggesting that fluid separation can induce effective wall slip (a problem that also probably plagues the Bostwick device). Finally, theory is compared with Bostwick tests with fruit puree, with limited success.

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Section: Discussionmentioning

confidence: 99%

Viscoplastic dam breaks and the Bostwick consistometer

Balmforth

Craster

Perona

et al. 2007

Journal of Non-Newtonian Fluid Mechanics

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“…• For low shear rates, evidence has been accumulating, showing that yielding and thixotropy are tightly interconnected [28,71,72,74]. Indeed, yielding is associated with several complex processes such as changes in the particle arrangement and/or the dynamics of particle contact, which are history-dependent processes.…”

Section: Introductionmentioning

confidence: 99%

Plasticity and geophysical flows: A review

Ancey

2007

Journal of Non-Newtonian Fluid Mechanics

352

277

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The objective of this review is to examine how the concept of plasticity is used in geophysical fluid dynamics. Rapid mass movements such as snow avalanches or debris flows involve slurries of solid particles (ice, boulder, clay, etc.) within an interstitial fluid (air, water). The bulk behavior of these materials has often been modeled as plastic materials, i.e., a plastic material yields and starts to flow once its stress state has significantly departed from equilibrium. Two plastic theories are of common use in fluid dynamics: Coulomb plasticity and viscoplasticity. These theories have little in common, since ideal Coulomb materials are two-phase materials for which pore pressure and friction play the key role in the bulk dynamics, whereas viscoplastic materials (e.g., Bingham fluids) typically behave as single-phase fluids on the macroscopic scale and exhibit a viscous behavior after yielding. Determining the rheological behavior of geophysical materials remains difficult because they encompass coarse, irregular particles over a very wide range of size. Consequently, the true nature of plastic behavior for geophysical flows is still vigorously debated. In this review, we first set out the continuum-mechanics principles used for describing plastic behavior. The notion of yield surface rather than yield stress is emphasized in order to better understand how tensorial constitutive equations can be derived from experimental data. The notion of single-phase or two-phase behaviors on the macroscopic scale is then examined using a microstructural analysis on idealized suspensions of spheres within a Newtonian fluid; for these suspensions, the single-phase approximation is valid only at very high or low Stokes numbers. Within this framework, the bulk stress tensor can also be constructed, which makes it possible to give a physical interpretation to yield stress. Most of the time, depending on the bulk properties (especially, particle size) and flow features, bulk behavior is either Coulomb-like or viscoplastic in simple-shear experiments. The consequences of the rheological properties on the flow features are also examined. Some remarkable properties of the governing equations describing thin layers flowing down inclined surfaces are discussed. Finally, the question of parameter fitting is tackled: since rheological properties cannot be measured directly in most cases, they must be evaluated from field data. As an example, we show that the Coulomb model successfully captures the main traits of avalanche motion, but statistical analysis demonstrates that the probability distribution of the friction coefficient is not universal.

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“…In this paper, n = 2 and the oil is considered to be a bi-component mixture. The time-varying deposition rheology is modelled using a Coussot-type relation [14] for a parameter that characterises the internal deposit structure. This is the simplest model that accounts for (potentially rapid) transitions from liquid-like to solid-like behaviour of the deposit.…”

Section: Discussionmentioning

confidence: 99%

“…We adopt the following form for the equation that governs the evolution of the structure parameter [14,16] …”

Section: Governing Equationsmentioning

confidence: 99%

“…This phase also undergoes a process of 'ageing', which may be due to a 'jamming' transition [13,14] of the particulate phase confined within the deposit leading to structure-building in the deposit, referred to in this paper as 'structuration' [14]; this structure must be broken in order for the material to flow. In order to represent 'ageing' effects on the deposit dynamics, we make use of a Coussot-type relation [15,16] that describes the evolution of the deposit rheology in terms of a competition between structuration and de-structuration, the latter being due to flow.…”

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confidence: 99%

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Two-fluid pressure-driven channel flow with wall deposition and ageing effects

2011

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Two-fluid, stratified pressure-driven channel flow is studied in the limit of small viscosity ratios. Cases are considered in which the core fluid undergoes phase separation that results in the 'precipitation' of a distinct phase and the formation of a wall layer; these situations are common in the oil industry where 'fouling' deposits are formed during the flow. The thickness of this layer increases as a result of continual deposition through Stefan-like fluxes, which are related to the phase behaviour of the core fluid through a chemical equilibria model that treats the fluid as a bi-component mixture. The deposit also undergoes an 'ageing' process whereby its viscosity increases due to the build-up of internal structure; the latter is modelled here via a Coussot-type relation. Lubrication theory is used in the wall layer and an integral balance in the core fluid wherein inertial effects are important. By choosing appropriate semi-parabolic velocity and temperatures closures for the laminar flow in the channel core, and a closure relation for the wall layer rheology, evolution equations are derived that describe the flow dynamics. In the presence of ageing but absence of deposition, it is demonstrated how the time-varying deposit rheology alters the wave dynamics; for certain parameter ranges, these effects can give rise to the formation of steep waves and what appears to be finite-time 'blow-up'. With both ageing and deposition, the spatio-temporal evolution of the deposit is shown together with the increase in the deposition rate with increasing temperature difference between the wall and the inlet.

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Continuous or catastrophic solid–liquid transition in jammed systems

Cited by 36 publications

References 12 publications

Viscoplastic dam breaks and the Bostwick consistometer

Viscoplastic dam breaks and the Bostwick consistometer

Plasticity and geophysical flows: A review

Two-fluid pressure-driven channel flow with wall deposition and ageing effects

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