Flow regime transitions in dense non-Brownian suspensions: Rheology, microstructural characterization, and constitutive modeling

被引:62
作者
Ness, Christopher [1 ]
Sun, Jin [1 ]
机构
[1] Univ Edinburgh, Sch Engn, Edinburgh EH9 3JL, Midlothian, Scotland
来源
PHYSICAL REVIEW E | 2015年 / 91卷 / 01期
基金
英国工程与自然科学研究理事会;
关键词
PARTICLES; VISCOSITY; SPHERES;
D O I
10.1103/PhysRevE.91.012201
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Shear flow of dense non-Brownian suspensions is simulated using the discrete element method taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the parametric space of the solid volume fraction, shear rate, fluid viscosity, and particle stiffness. Below a critical volume fraction phi(c), the rheology is governed by the Stokes number, which distinguishes between viscous and inertial flow regimes. Above phi(c), a quasistatic regime exists for low and moderate shear rates. At very high shear rates, the phi dependence is lost, and soft-particle rheology is explored. The transitions between rheological regimes are associated with the evolving contribution of lubrication to the suspension stress. Transitions in microscopic phenomena, such as interparticle force distribution, fabric, and correlation length are found to correspond to those in the macroscopic flow. Motivated by the bulk rheology, a constitutive model is proposed combining a viscous pressure term with a dry granular model presented by Chialvo et al. [Phys. Rev. E 85, 021305 (2012)]. The model is shown to successfully capture the flow regime transitions.
引用
收藏
页数:10
相关论文
共 30 条
[11]   ON VISCOSITY OF A CONCENTRATED SUSPENSION OF SOLID SPHERES [J].
FRANKEL, NA ;
ACRIVOS, A .
CHEMICAL ENGINEERING SCIENCE, 1967, 22 (06) :847-&
[12]   Rheology of sheared suspensions of rough frictional particles [J].
Gallier, Stany ;
Lemaire, Elisabeth ;
Peters, Francois ;
Lobry, Laurent .
JOURNAL OF FLUID MECHANICS, 2014, 757 :514-549
[13]   Flow of wet granular materials [J].
Huang, N ;
Ovarlez, G ;
Bertrand, F ;
Rodts, S ;
Coussot, P ;
Bonn, D .
PHYSICAL REVIEW LETTERS, 2005, 94 (02)
[14]   A constitutive law for dense granular flows [J].
Jop, Pierre ;
Forterre, Yoel ;
Pouliquen, Olivier .
NATURE, 2006, 441 (7094) :727-730
[15]  
Kawasaki T., ARXIV14105683
[16]   Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles [J].
Kawasaki, Takeshi ;
Ikeda, Atsushi ;
Berthier, Ludovic .
EPL, 2014, 107 (02)
[17]   What do dry granular flows tell us about dense non-Brownian suspension rheology? [J].
Lemaitre, Anael ;
Roux, Jean-Noel ;
Chevoir, Francois .
RHEOLOGICA ACTA, 2009, 48 (08) :925-942
[18]  
LIU AJ, 1998, NATURE, V21, P396
[19]   Spatial force correlations in granular shear flow.: II.: Theoretical implications [J].
Lois, Gregg ;
Lemaitre, Anael ;
Carlson, Jean M. .
PHYSICAL REVIEW E, 2007, 76 (02)
[20]   Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions [J].
Mari, Romain ;
Seto, Ryohei ;
Morris, Jeffrey F. ;
Denn, Morton M. .
JOURNAL OF RHEOLOGY, 2014, 58 (06) :1693-1724