Normal stresses in shear thickening granular suspensions

Soft Matter ◽  
2017 ◽  
Vol 13 (20) ◽  
pp. 3734-3740 ◽  
Author(s):  
Zhongcheng Pan ◽  
Henri de Cagny ◽  
Mehdi Habibi ◽  
Daniel Bonn
Keyword(s):  
Shear Thickening ◽  
Normal Stresses ◽  
Granular Suspensions

scholarly journals Consititutive modeling of time-dependent flows in frictional suspensions

2021 ◽  
Vol 249 ◽  
pp. 01002
Author(s):  
Michael Cates
Keyword(s):  
Normal Force ◽  
Shear Thickening ◽  
Constitutive Modelling ◽  
Contact Forces ◽  
Time Dependent ◽  
Joint Work ◽  
Modelling Framework ◽  
New Concepts ◽  
Quantitative Accuracy ◽  
Granular Suspensions

This paper summarizes recent joint work towards a constitutive modelling framework for dense granular suspensions. The aim is to create a time-dependent, tensorial theory that can implement the physics described in steady state by the Wyart-Cates model. This model of shear thickening suspensions supposes that lubrication films break above a characteristic normal force so that frictional contact forces come into play: the resulting non-sliding constraints can be enough to rigidify a system that would flow freely at lower stresses [1]. Implementing this idea for time-dependent flows requires the introduction of new concepts including a configuration-dependent ‘jamming coordinate’, alongside a decomposition of the velocity gradient tensor into compressive and extensional components which then enter the evolution equation for particle contacts in distinct ways. The resulting approach [2, 3] is qualitatively successful in addressing (i) the collapse of stress during flow reversal in shear flow, and (ii) the ability of transverse oscillatory flows to unjam the system. However there is much work required to refine this approach towards quantitative accuracy, by incorporating more of the physics of contact evolution under flow as determined by close interrogation of particle-based simulations.

scholarly journals Drop formation in shear-thickening granular suspensions

2015 ◽  
Vol 92 (5) ◽  
Author(s):  
Zhongcheng Pan ◽  
Nicolas Louvet ◽  
Yves Hennequin ◽  
Hamid Kellay ◽  
Daniel Bonn
Keyword(s):  
Shear Thickening ◽  
Drop Formation ◽  
Granular Suspensions

scholarly journals Density waves in shear-thickening suspensions

2020 ◽  
Vol 6 (16) ◽  
pp. eaay5589 ◽  
Author(s):  
Guillaume Ovarlez ◽  
Anh Vu Nguyen Le ◽  
Wilbert J. Smit ◽  
Abdoulaye Fall ◽  
Romain Mari ◽  
...  
Keyword(s):  
Complex Dynamics ◽  
Fresh Concrete ◽  
Shear Thickening ◽  
Density Fluctuations ◽  
Periodic Waves ◽  
Normal Stresses ◽  
Concentrated Suspensions ◽  
Small Areas ◽  
Azimuthal Symmetry ◽  
Silica Suspensions

Shear thickening corresponds to an increase of the viscosity as a function of the shear rate. It is observed in many concentrated suspensions in nature and industry: water or oil saturated sediments, crystal-bearing magma, fresh concrete, silica suspensions, and cornstarch mixtures. Here, we reveal how shear-thickening suspensions flow, shedding light onto as yet non-understood complex dynamics reported in the literature. When shear thickening is important, we show the existence of density fluctuations that appear as periodic waves moving in the direction of flow and breaking azimuthal symmetry. They come with strong normal stress fluctuations of the same periodicity. The flow includes small areas of normal stresses of the order of tens of kilopascals and areas of normal stresses of the order of hundreds of pascals. These stress inhomogeneities could play an important role in the damage caused by thickening fluids in the industry.

scholarly journals Shear thickening in highly viscous granular suspensions

2014 ◽  
Vol 107 (6) ◽  
pp. 68004 ◽  
Author(s):  
Qin Xu ◽  
Sayantan Majumdar ◽  
Eric Brown ◽  
Heinrich M. Jaeger
Keyword(s):  
Shear Thickening ◽  
Granular Suspensions

scholarly journals Shear Thickening and Migration in Granular Suspensions

2010 ◽  
Vol 105 (26) ◽  
Author(s):  
Abdoulaye Fall ◽  
Anaël Lemaître ◽  
François Bertrand ◽  
Daniel Bonn ◽  
Guillaume Ovarlez
Keyword(s):  
Shear Thickening ◽  
Granular Suspensions ◽  
And Migration

scholarly journals Stress fluctuations and shear thickening in dense granular suspensions

2020 ◽  
Vol 64 (2) ◽  
pp. 321-328 ◽  
Author(s):  
Qin Xu ◽  
Abhinendra Singh ◽  
Heinrich M. Jaeger
Keyword(s):  
Shear Thickening ◽  
Granular Suspensions

On the rheology of a dilute emulsion in a uniform electric field

2011 ◽  
Vol 670 ◽  
pp. 481-503 ◽  
Author(s):  
PETIA M. VLAHOVSKA
Keyword(s):  
Electric Field ◽  
Stokes Equations ◽  
Fluid Motion ◽  
Shear Thickening ◽  
Small Deformation ◽  
Uniform Electric Field ◽  
Drop Deformation ◽  
Normal Stresses ◽  
Shape Distortion ◽  
The One

A small-deformation perturbation analysis is developed to describe the effect of a uniform electric field on drop deformation and orientation in linear flows and emulsion shear rheology. All media are treated as leaky dielectrics, and fluid motion is described by the Stokes equations. The one-particle contribution to the effective stress of a dilute emulsion is obtained from the drop stresslet. Analytical solutions are derived as regular perturbations in the limits of small capillary number and large viscosity ratio. The results show that both shape distortion and charge convection modify emulsion rheology. Drop deformation due to application of an electric field in a direction perpendicular to the shear flow gives rise to normal stresses and may lead to shear thickening or shear thinning, depending on the electric properties of the fluids. Charge convection due to the imposed shear affects both the shear viscosity and normal stresses.

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