scholarly journals Stability analysis of unbounded uniform dense granular shear flow based on a viscoplastic constitutive law

2010 ◽  
Vol 22 (11) ◽  
pp. 113304 ◽  
Author(s):  
Wen-Yau Chen ◽  
Jeng-You Lai ◽  
D. L. Young
Keyword(s):  
Stability Analysis ◽  
Shear Flow ◽  
Constitutive Law ◽  
Granular Shear

Influence of pressure-dependent surface viscosity on dynamics of surfactant-laden drops in shear flow

2018 ◽  
Vol 858 ◽  
pp. 91-121 ◽  
Author(s):  
Zheng Yuan Luo ◽  
Xing Long Shang ◽  
Bo Feng Bai
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Surfactant Concentration ◽  
Constitutive Law ◽  
Simple Shear Flow ◽  
Drop Surface ◽  
Shear Surface ◽  
Surface Viscosity ◽  
Principal Axes ◽  
Surfactant Transport

We study numerically the dynamics of an insoluble surfactant-laden droplet in a simple shear flow taking surface viscosity into account. The rheology of drop surface is modelled via a Boussinesq–Scriven constitutive law with both surface tension and surface viscosity depending strongly on the surface concentration of the surfactant. Our results show that the surface viscosity exhibits non-trivial effects on the surfactant transport on the deforming drop surface. Specifically, both dilatational and shear surface viscosity tend to eliminate the non-uniformity of surfactant concentration over the drop surface. However, their underlying mechanisms are entirely different; that is, the shear surface viscosity inhibits local convection due to its suppression on drop surface motion, while the dilatational surface viscosity inhibits local dilution due to its suppression on local surface dilatation. By comparing with previous studies of droplets with surface viscosity but with no surfactant transport, we find that the coupling between surface viscosity and surfactant transport induces non-negligible deviations in the dynamics of the whole droplet. More particularly, we demonstrate that the dependence of surface viscosity on local surfactant concentration has remarkable influences on the drop deformation. Besides, we analyse the full three-dimensional shape of surfactant-laden droplets in simple shear flow and observe that the drop shape can be approximated as an ellipsoid. More importantly, this ellipsoidal shape can be described by a standard ellipsoidal equation with only one unknown owing to the finding of an unexpected relationship among the drop’s three principal axes. Moreover, this relationship remains the same for both clean and surfactant-laden droplets with or without surface viscosity.

scholarly journals Planar granular shear flow under external vibration

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Eric P. Hoppmann ◽  
Brian C. Utter
Keyword(s):  
Shear Flow ◽  
External Vibration ◽  
Granular Shear

Diffusion of size bidisperse spheres in dense granular shear flow

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
Ruihuan Cai ◽  
Hongyi Xiao ◽  
Jinyang Zheng ◽  
Yongzhi Zhao
Keyword(s):  
Shear Flow ◽  
Granular Shear

scholarly journals Solid-Fluid Transition in a Granular Shear Flow

2004 ◽  
Vol 93 (6) ◽  
Author(s):  
Ashish V. Orpe ◽  
D. V. Khakhar
Keyword(s):  
Shear Flow ◽  
Granular Shear

scholarly journals Coarse-grained discrete element method for granular shear flow

2020 ◽  
Vol 4 ◽  
pp. 100050
Author(s):  
Hideya Nakamura ◽  
Hiroharu Takimoto ◽  
Naoki Kishida ◽  
Shuji Ohsaki ◽  
Satoru Watano
Keyword(s):  
Shear Flow ◽  
Discrete Element Method ◽  
Discrete Element ◽  
Coarse Grained ◽  
Granular Shear ◽  
Element Method
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