Skip to main content
Top
Published in: Rheologica Acta 5-6/2023

02-06-2023 | Feature Article

Rheology of non-Brownian suspensions: a rough contact story

Authors: Elisabeth Lemaire, Frédéric Blanc, Cyrille Claudet, Stany Gallier, Laurent Lobry, François Peters

Published in: Rheologica Acta | Issue 5-6/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper presents a compilation of experimental and numerical results that both show that particles in a suspension under shear flow come into contact through surface roughness. Accounting for those frictional contacts captures well the measured viscosity values as well as the shear-thinning observed in many concentrated non-Brownian suspensions. More specifically, the precise analysis of the asymmetric microstructure of the suspension clearly shows the role played by surface asperities in the interparticle contact. Numerical simulation results are then recalled and show the major impact of solid friction between particles on the viscosity. It is then pointed out that shear reversal experiments are a good way to assess this impact and to deduce useful information on the frictional properties of contacts. Finally, when considering together contacts via asperities and the close link between friction and rheology, a natural explanation for the shear-thinning observed in most suspensions can be proposed. According to it, as the shear stress increases, the friction coefficient decreases which leads to a viscosity decrease. This scenario first implemented in numerical simulations is verified experimentally through coupled AFM and rheometry measurements.

Graphical Abstract

The asymmetry of the shear-induced microstructure of non-Brownian and non-colloidal suspensions reflects the presence of solid contacts between particles, enabled by the surface asperities of the particles. The peculiar characteristics of these asperity contacts open the way to explain the shear-thinning observed for many suspensions by a decrease in the friction coefficient with increasing shear stress.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Footnotes
1
In the original model of Brizmer et al (2007), the contact is between a soft sphere and a rigid flat plane while here we consider the contact between two soft materials with the same Young modulus E. This is the reason why a factor 2 is introduced into the brackets.
 
Literature
go back to reference Archard J (1957) Elastic deformation and the laws of friction. Proceedings of the royal society of London Series A Mathematical and physical sciences 243(1233):190–205 Archard J (1957) Elastic deformation and the laws of friction. Proceedings of the royal society of London Series A Mathematical and physical sciences 243(1233):190–205
go back to reference Arp P, Mason S (1977) The kinetics of flowing dispersions: Ix. doublets of rigid spheres (experimental). J Colloid Interf Sci 61(1):44–61CrossRef Arp P, Mason S (1977) The kinetics of flowing dispersions: Ix. doublets of rigid spheres (experimental). J Colloid Interf Sci 61(1):44–61CrossRef
go back to reference Arp P, Mason S (1977) The kinetics of flowing dispersions:Viii. doublets of rigid spheres (theoretical). J Colloid interf Sci 61(1):21–43CrossRef Arp P, Mason S (1977) The kinetics of flowing dispersions:Viii. doublets of rigid spheres (theoretical). J Colloid interf Sci 61(1):21–43CrossRef
go back to reference Arshad M, Maali A, Claudet C et al (2021) An experimental study on the role of inter-particle friction in the shear-thinning behavior of non-brownian suspensions. Soft Matter 17(25):6088–6097CrossRef Arshad M, Maali A, Claudet C et al (2021) An experimental study on the role of inter-particle friction in the shear-thinning behavior of non-brownian suspensions. Soft Matter 17(25):6088–6097CrossRef
go back to reference Batchelor G (1970) The stress system in a suspension of force-free particles. J Fluid Mech 41(3):545–570CrossRef Batchelor G (1970) The stress system in a suspension of force-free particles. J Fluid Mech 41(3):545–570CrossRef
go back to reference Blanc F (2011) Rhéologie et microstructure des suspensions concentrées non browniennes. PhD thesis, Université Nice Sophia Antipolis Blanc F (2011) Rhéologie et microstructure des suspensions concentrées non browniennes. PhD thesis, Université Nice Sophia Antipolis
go back to reference Blanc F, Peters F, Lemaire E (2011) Experimental signature of the pair trajectories of rough spheres in the shear-induced microstructure in noncolloidal suspensions. Phys Rev Lett 107(20):208–302CrossRef Blanc F, Peters F, Lemaire E (2011) Experimental signature of the pair trajectories of rough spheres in the shear-induced microstructure in noncolloidal suspensions. Phys Rev Lett 107(20):208–302CrossRef
go back to reference Blanc F, Lemaire E, Meunier A et al (2013) Microstructure in sheared non-brownian concentrated suspensions. J Rheol 57(1):273–292CrossRef Blanc F, Lemaire E, Meunier A et al (2013) Microstructure in sheared non-brownian concentrated suspensions. J Rheol 57(1):273–292CrossRef
go back to reference Blanc F, D’Ambrosio E, Lobry L et al (2018) Universal scaling law in frictional non-brownian suspensions. Phys Rev Fluids 3(11):114–303CrossRef Blanc F, D’Ambrosio E, Lobry L et al (2018) Universal scaling law in frictional non-brownian suspensions. Phys Rev Fluids 3(11):114–303CrossRef
go back to reference Blanc F, Peters F, Gillissen JJ et al (2023) Rheology of dense suspensions under shear rotation. Phys Rev Lett 130(11):118–202CrossRef Blanc F, Peters F, Gillissen JJ et al (2023) Rheology of dense suspensions under shear rotation. Phys Rev Lett 130(11):118–202CrossRef
go back to reference Bossis G, Brady JF (1984) Dynamic simulation of sheared suspensions. i. general method. J Chem Phys 80(10):5141–5154CrossRef Bossis G, Brady JF (1984) Dynamic simulation of sheared suspensions. i. general method. J Chem Phys 80(10):5141–5154CrossRef
go back to reference Bossis G, Boustingorry P, Grasselli Y et al (2017) Discontinuous shear thickening in the presence of polymers adsorbed on the surface of calcium carbonate particles. Rheologica Acta 56(5):415–430CrossRef Bossis G, Boustingorry P, Grasselli Y et al (2017) Discontinuous shear thickening in the presence of polymers adsorbed on the surface of calcium carbonate particles. Rheologica Acta 56(5):415–430CrossRef
go back to reference Bowden FP, Tabor D (1939) The area of contact between stationary and moving surfaces. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences 169(938):391–413 Bowden FP, Tabor D (1939) The area of contact between stationary and moving surfaces. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences 169(938):391–413
go back to reference Brady JF, Bossis G (1988) Stokesian dynamics. Annu Rev Fluid Mech 20:111–157CrossRef Brady JF, Bossis G (1988) Stokesian dynamics. Annu Rev Fluid Mech 20:111–157CrossRef
go back to reference Brady JF, Morris JF (1997) Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J Fluid Mech 348:103–139CrossRef Brady JF, Morris JF (1997) Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J Fluid Mech 348:103–139CrossRef
go back to reference Breedveld V, van den Ende D, Bosscher M et al (2001a) Measuring shear-induced self-diffusion in a counterrotating geometry. Physical Review E 63(2):021–403 Breedveld V, van den Ende D, Bosscher M et al (2001a) Measuring shear-induced self-diffusion in a counterrotating geometry. Physical Review E 63(2):021–403
go back to reference Breedveld V, van den Ende D, Jongschaap R et al (2001b) Shear-induced diffusion and rheology of noncolloidal suspensions: Time scales and particle displacements. J Chem Phys 114(13):5923–5936 Breedveld V, van den Ende D, Jongschaap R et al (2001b) Shear-induced diffusion and rheology of noncolloidal suspensions: Time scales and particle displacements. J Chem Phys 114(13):5923–5936
go back to reference Bricker JM, Butler JE (2007) Correlation between stresses and microstructure in concentrated suspensions of non-brownian spheres subject to unsteady shear flows. J Rheol 51(4):735–759CrossRef Bricker JM, Butler JE (2007) Correlation between stresses and microstructure in concentrated suspensions of non-brownian spheres subject to unsteady shear flows. J Rheol 51(4):735–759CrossRef
go back to reference Brizmer V, Kligerman Y, Etsion I (2007) Elastic-plastic spherical contact under combined normal and tangential loading in full stick. Tribol Lett 25(1):61–70CrossRef Brizmer V, Kligerman Y, Etsion I (2007) Elastic-plastic spherical contact under combined normal and tangential loading in full stick. Tribol Lett 25(1):61–70CrossRef
go back to reference Chatté G, Comtet J, Niguès A et al (2018) Shear thinning in non-brownian suspensions. Soft Matter 14(6):879–893CrossRef Chatté G, Comtet J, Niguès A et al (2018) Shear thinning in non-brownian suspensions. Soft Matter 14(6):879–893CrossRef
go back to reference Chèvremont W, Chareyre B, Bodiguel H (2019) Quantitative study of the rheology of frictional suspensions: Influence of friction coefficient in a large range of viscous numbers. Phys Rev Fluids 4(6):064–302CrossRef Chèvremont W, Chareyre B, Bodiguel H (2019) Quantitative study of the rheology of frictional suspensions: Influence of friction coefficient in a large range of viscous numbers. Phys Rev Fluids 4(6):064–302CrossRef
go back to reference Clavaud C, Bérut A, Metzger B et al (2017) Revealing the frictional transition in shear-thickening suspensions. Proceedings of the National Academy of Sciences 114(20):5147–5152CrossRef Clavaud C, Bérut A, Metzger B et al (2017) Revealing the frictional transition in shear-thickening suspensions. Proceedings of the National Academy of Sciences 114(20):5147–5152CrossRef
go back to reference Comtet J, Chatté G, Niguès A et al (2017) Pairwise frictional profile between particles determines discontinuous shear thickening transition in non-colloidal suspensions. Nat Commun 8(1):1–7CrossRef Comtet J, Chatté G, Niguès A et al (2017) Pairwise frictional profile between particles determines discontinuous shear thickening transition in non-colloidal suspensions. Nat Commun 8(1):1–7CrossRef
go back to reference Da Cunha F, Hinch E (1996) Shear-induced dispersion in a dilute suspension of rough spheres. J Fluid Mech 309:211–223CrossRef Da Cunha F, Hinch E (1996) Shear-induced dispersion in a dilute suspension of rough spheres. J Fluid Mech 309:211–223CrossRef
go back to reference Davis RH, Zhao Y, Galvin KP et al (2003) Solid-solid contacts due to surface roughness and their effects on suspension behaviour. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 361(1806):871–894CrossRef Davis RH, Zhao Y, Galvin KP et al (2003) Solid-solid contacts due to surface roughness and their effects on suspension behaviour. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 361(1806):871–894CrossRef
go back to reference Dbouk T, Lobry L, Lemaire E (2013) Normal stresses in concentrated non-brownian suspensions. J Fluid Mech 715:239–272CrossRef Dbouk T, Lobry L, Lemaire E (2013) Normal stresses in concentrated non-brownian suspensions. J Fluid Mech 715:239–272CrossRef
go back to reference Drazer G, Koplik J, Khusid B et al (2002) Deterministic and stochastic behaviour of non-brownian spheres in sheared suspensions. J Fluid Mech 460:307–335CrossRef Drazer G, Koplik J, Khusid B et al (2002) Deterministic and stochastic behaviour of non-brownian spheres in sheared suspensions. J Fluid Mech 460:307–335CrossRef
go back to reference Du B, Tsui OK, Zhang Q et al (2001) Study of elastic modulus and yield strength of polymer thin films using atomic force microscopy. Langmuir 17(11):3286–3291CrossRef Du B, Tsui OK, Zhang Q et al (2001) Study of elastic modulus and yield strength of polymer thin films using atomic force microscopy. Langmuir 17(11):3286–3291CrossRef
go back to reference Ecke S, Butt HJ (2001) Friction between individual microcontacts. J Colloid Interface Sci 244(2):432–435CrossRef Ecke S, Butt HJ (2001) Friction between individual microcontacts. J Colloid Interface Sci 244(2):432–435CrossRef
go back to reference Eckstein EC, Bailey DG, Shapiro AH (1977) Self-diffusion of particles in shear flow of a suspension. J Fluid Mech 79(1):191–208CrossRef Eckstein EC, Bailey DG, Shapiro AH (1977) Self-diffusion of particles in shear flow of a suspension. J Fluid Mech 79(1):191–208CrossRef
go back to reference Edens LE, Alvarado EG, Singh A et al (2021) Shear stress dependence of force networks in 3d dense suspensions. Soft Matter 17(32):7476–7486CrossRef Edens LE, Alvarado EG, Singh A et al (2021) Shear stress dependence of force networks in 3d dense suspensions. Soft Matter 17(32):7476–7486CrossRef
go back to reference Gadala-Maria F, Acrivos A (1980) Shear-induced structure in a concentrated suspension of solid spheres. J Rheol 24(6):799–814CrossRef Gadala-Maria F, Acrivos A (1980) Shear-induced structure in a concentrated suspension of solid spheres. J Rheol 24(6):799–814CrossRef
go back to reference Gallier S, Lemaire E, Peters F et al (2014) Rheology of sheared suspensions of rough frictional particles. J Fluid Mech 757:514–549CrossRef Gallier S, Lemaire E, Peters F et al (2014) Rheology of sheared suspensions of rough frictional particles. J Fluid Mech 757:514–549CrossRef
go back to reference Gallier S, Lemaire E, Lobry L et al (2016) Effect of confinement in wall-bounded non-colloidal suspensions. J Fluid Mech 799:100–127CrossRef Gallier S, Lemaire E, Lobry L et al (2016) Effect of confinement in wall-bounded non-colloidal suspensions. J Fluid Mech 799:100–127CrossRef
go back to reference Gallier S, Peters F, Lobry L (2018) Simulations of sheared dense noncolloidal suspensions: Evaluation of the role of long-range hydrodynamics. Phys Rev Fluids 3(4):042–301CrossRef Gallier S, Peters F, Lobry L (2018) Simulations of sheared dense noncolloidal suspensions: Evaluation of the role of long-range hydrodynamics. Phys Rev Fluids 3(4):042–301CrossRef
go back to reference Gao C, Kulkarni S, Morris J et al (2010) Direct investigation of anisotropic suspension structure in pressure-driven flow. Phys Rev E 81(4):041–403CrossRef Gao C, Kulkarni S, Morris J et al (2010) Direct investigation of anisotropic suspension structure in pressure-driven flow. Phys Rev E 81(4):041–403CrossRef
go back to reference Greenwood JA, Williamson JP (1966) Contact of nominally flat surfaces. Proceedings of the royal society of London Series A Mathematical and physical sciences 295(1442):300–319 Greenwood JA, Williamson JP (1966) Contact of nominally flat surfaces. Proceedings of the royal society of London Series A Mathematical and physical sciences 295(1442):300–319
go back to reference Grest GS (1999) Normal and shear forces between polymer brushes. Polymers in Confined Environments pp 149–183 Grest GS (1999) Normal and shear forces between polymer brushes. Polymers in Confined Environments pp 149–183
go back to reference Guazzelli É, Pouliquen O (2018) Rheology of dense granular suspensions. J Fluid Mech 852 Guazzelli É, Pouliquen O (2018) Rheology of dense granular suspensions. J Fluid Mech 852
go back to reference Gurnon AK, Wagner NJ (2015) Microstructure and rheology relationships for shear thickening colloidal dispersions. J Fluid Mech 769:242–276CrossRef Gurnon AK, Wagner NJ (2015) Microstructure and rheology relationships for shear thickening colloidal dispersions. J Fluid Mech 769:242–276CrossRef
go back to reference Guy B, Hermes M, Poon WC (2015) Towards a unified description of the rheology of hard-particle suspensions. Phys Rev Lett 115(8):088–304CrossRef Guy B, Hermes M, Poon WC (2015) Towards a unified description of the rheology of hard-particle suspensions. Phys Rev Lett 115(8):088–304CrossRef
go back to reference Hoyle C, Dai S, Tanner R et al (2020) Effect of particle roughness on the rheology of suspensions of hollow glass microsphere particles. J Non-Newtonian Fluid Mech 276:104–235CrossRef Hoyle C, Dai S, Tanner R et al (2020) Effect of particle roughness on the rheology of suspensions of hollow glass microsphere particles. J Non-Newtonian Fluid Mech 276:104–235CrossRef
go back to reference Hsiao LC, Pradeep S (2019) Experimental synthesis and characterization of rough particles for colloidal and granular rheology. Curr Opin colloid interf Sci 43:94–112CrossRef Hsiao LC, Pradeep S (2019) Experimental synthesis and characterization of rough particles for colloidal and granular rheology. Curr Opin colloid interf Sci 43:94–112CrossRef
go back to reference Hsu CP, Ramakrishna SN, Zanini M et al (2018) Roughness-dependent tribology effects on discontinuous shear thickening. Proc Natl Acad Sci 115(20):5117–5122CrossRef Hsu CP, Ramakrishna SN, Zanini M et al (2018) Roughness-dependent tribology effects on discontinuous shear thickening. Proc Natl Acad Sci 115(20):5117–5122CrossRef
go back to reference Husband D, Gadala-Maria F (1987) Anisotropic particle distribution in dilute suspensions of solid spheres in cylindrical couette flow. J Rheol 31(1):95–110CrossRef Husband D, Gadala-Maria F (1987) Anisotropic particle distribution in dilute suspensions of solid spheres in cylindrical couette flow. J Rheol 31(1):95–110CrossRef
go back to reference Jones R (2003) From single particle afm studies of adhesion and friction to bulk flow: forging the links. Granular Matter 4(4):191–204CrossRef Jones R (2003) From single particle afm studies of adhesion and friction to bulk flow: forging the links. Granular Matter 4(4):191–204CrossRef
go back to reference Koumakis N, Moghimi E, Besseling R et al (2015) Tuning colloidal gels by shear. Soft Matter 11(23):4640–4648CrossRef Koumakis N, Moghimi E, Besseling R et al (2015) Tuning colloidal gels by shear. Soft Matter 11(23):4640–4648CrossRef
go back to reference Kroupa M, Soos M, Kosek J (2017) Slip on a particle surface as the possible origin of shear thinning in non-brownian suspensions. Phys Chem Chem Phys 19(8):5979–5984CrossRef Kroupa M, Soos M, Kosek J (2017) Slip on a particle surface as the possible origin of shear thinning in non-brownian suspensions. Phys Chem Chem Phys 19(8):5979–5984CrossRef
go back to reference Kumar SP, Vázquez-Quesada A, Ellero M (2020) Numerical investigation of the rheological behavior of a dense particle suspension in a biviscous matrix using a lubrication dynamics method. J Non-Newtonian Fluid Mech 281:104–312CrossRef Kumar SP, Vázquez-Quesada A, Ellero M (2020) Numerical investigation of the rheological behavior of a dense particle suspension in a biviscous matrix using a lubrication dynamics method. J Non-Newtonian Fluid Mech 281:104–312CrossRef
go back to reference Le AVN, Izzet A, Ovarlez G et al (2023) Solvents govern rheology and jamming of polymeric bead suspensions. J Colloid Interf Sci 629:438–450CrossRef Le AVN, Izzet A, Ovarlez G et al (2023) Solvents govern rheology and jamming of polymeric bead suspensions. J Colloid Interf Sci 629:438–450CrossRef
go back to reference Leighton D, Acrivos A (1986) Viscous resuspension. Chem Eng Sci 41(6):1377–1384 Leighton D, Acrivos A (1986) Viscous resuspension. Chem Eng Sci 41(6):1377–1384
go back to reference Lin NY, Guy BM, Hermes M et al (2015) Hydrodynamic and contact contributions to continuous shear thickening in colloidal suspensions. Phys Rev Lett 115(22):228–304CrossRef Lin NY, Guy BM, Hermes M et al (2015) Hydrodynamic and contact contributions to continuous shear thickening in colloidal suspensions. Phys Rev Lett 115(22):228–304CrossRef
go back to reference Lobry L, Lemaire E, Blanc F et al (2019) Shear thinning in non-brownian suspensions explained by variable friction between particles. J Fluid Mech 860:682–710CrossRef Lobry L, Lemaire E, Blanc F et al (2019) Shear thinning in non-brownian suspensions explained by variable friction between particles. J Fluid Mech 860:682–710CrossRef
go back to reference Mari R, Seto R, Morris JF et al (2014) Shear thickening, frictionless and frictional rheologies in non-brownian suspensions. J Rheol 58(6):1693–1724CrossRef Mari R, Seto R, Morris JF et al (2014) Shear thickening, frictionless and frictional rheologies in non-brownian suspensions. J Rheol 58(6):1693–1724CrossRef
go back to reference Martienssen W, Warlimont H (2005) Springer handbook of condensed matter and materials data, vol. 1, Springer Martienssen W, Warlimont H (2005) Springer handbook of condensed matter and materials data, vol. 1, Springer
go back to reference Metzger B, Butler JE (2010) Irreversibility and chaos: Role of long-range hydrodynamic interactions in sheared suspensions. Phys Rev E 82(5):051–406CrossRef Metzger B, Butler JE (2010) Irreversibility and chaos: Role of long-range hydrodynamic interactions in sheared suspensions. Phys Rev E 82(5):051–406CrossRef
go back to reference Metzger B, Pham P, Butler JE (2013) Irreversibility and chaos: Role of lubrication interactions in sheared suspensions. Phys Rev E 87(5):052–304CrossRef Metzger B, Pham P, Butler JE (2013) Irreversibility and chaos: Role of lubrication interactions in sheared suspensions. Phys Rev E 87(5):052–304CrossRef
go back to reference Moratille Y, Arshad M, Cohen C et al (2022) Cross-linked polymer microparticles with tunable surface properties by the combination of suspension free radical copolymerization and click chemistry. J Colloid Interf Sci 607:1687–1698CrossRef Moratille Y, Arshad M, Cohen C et al (2022) Cross-linked polymer microparticles with tunable surface properties by the combination of suspension free radical copolymerization and click chemistry. J Colloid Interf Sci 607:1687–1698CrossRef
go back to reference More RV, Ardekani AM (2020) Effect of roughness on the rheology of concentrated non-brownian suspensions: A numerical study. J Rheol 64(1):67–80CrossRef More RV, Ardekani AM (2020) Effect of roughness on the rheology of concentrated non-brownian suspensions: A numerical study. J Rheol 64(1):67–80CrossRef
go back to reference More RV, Ardekani AM (2021) Unifying disparate rate-dependent rheological regimes in non-brownian suspensions. Phys Rev E 103(6):062–610CrossRef More RV, Ardekani AM (2021) Unifying disparate rate-dependent rheological regimes in non-brownian suspensions. Phys Rev E 103(6):062–610CrossRef
go back to reference Papadopoulou A, Gillissen JJ, Wilson HJ, et al (2020) On the shear thinning of non-brownian suspensions: friction or adhesion? J Non-Newtonian Fluid Mech p 104298 Papadopoulou A, Gillissen JJ, Wilson HJ, et al (2020) On the shear thinning of non-brownian suspensions: friction or adhesion? J Non-Newtonian Fluid Mech p 104298
go back to reference Park HO, Bricker JM, Roy MJ et al (2011) Rheology of oscillating suspensions of noncolloidal spheres at small and large accumulated strains. Phys Fluids 23(1):013–302CrossRef Park HO, Bricker JM, Roy MJ et al (2011) Rheology of oscillating suspensions of noncolloidal spheres at small and large accumulated strains. Phys Fluids 23(1):013–302CrossRef
go back to reference Parsi F, Gadala-Maria F (1987) Fore-and-aft asymmetry in a concentrated suspension of solid spheres. J Rheol 31(8):725–732CrossRef Parsi F, Gadala-Maria F (1987) Fore-and-aft asymmetry in a concentrated suspension of solid spheres. J Rheol 31(8):725–732CrossRef
go back to reference Peters F, Ghigliotti G, Gallier S et al (2016) Rheology of non-brownian suspensions of rough frictional particles under shear reversal: A numerical study. J Rheol 60(4):715–732CrossRef Peters F, Ghigliotti G, Gallier S et al (2016) Rheology of non-brownian suspensions of rough frictional particles under shear reversal: A numerical study. J Rheol 60(4):715–732CrossRef
go back to reference Pham P, Metzger B, Butler JE (2015) Particle dispersion in sheared suspensions: Crucial role of solid-solid contacts. Phys Fluids 27(5):051–701CrossRef Pham P, Metzger B, Butler JE (2015) Particle dispersion in sheared suspensions: Crucial role of solid-solid contacts. Phys Fluids 27(5):051–701CrossRef
go back to reference Rampall I, Smart JR, Leighton DT (1997) The influence of surface roughness on the particle-pair distribution function of dilute suspensions of non-colloidal spheres in simple shear flow. J Fluid Mech 339:1–24CrossRef Rampall I, Smart JR, Leighton DT (1997) The influence of surface roughness on the particle-pair distribution function of dilute suspensions of non-colloidal spheres in simple shear flow. J Fluid Mech 339:1–24CrossRef
go back to reference Richards JA, Guy BM, Blanco E et al (2020) The role of friction in the yielding of adhesive non-brownian suspensions. J Rheol 64(2):405–412CrossRef Richards JA, Guy BM, Blanco E et al (2020) The role of friction in the yielding of adhesive non-brownian suspensions. J Rheol 64(2):405–412CrossRef
go back to reference Seto R, Mari R, Morris JF et al (2013) Discontinuous shear thickening of frictional hard-sphere suspensions. Phys Rev Lett 111(21):218–301CrossRef Seto R, Mari R, Morris JF et al (2013) Discontinuous shear thickening of frictional hard-sphere suspensions. Phys Rev Lett 111(21):218–301CrossRef
go back to reference Sierou A, Brady JF (2002) Rheology and microstructure in concentrated noncolloidal suspensions. J Rheol 46(5):1031–1056CrossRef Sierou A, Brady JF (2002) Rheology and microstructure in concentrated noncolloidal suspensions. J Rheol 46(5):1031–1056CrossRef
go back to reference Singh A, Nott PR (2000) Normal stresses and microstructure in bounded sheared suspensions via stokesian dynamics simulations. J Fluid Mech 412:279–301CrossRef Singh A, Nott PR (2000) Normal stresses and microstructure in bounded sheared suspensions via stokesian dynamics simulations. J Fluid Mech 412:279–301CrossRef
go back to reference Singh A, Mari R, Denn MM et al (2018) A constitutive model for simple shear of dense frictional suspensions. J Rheol 62(2):457–468 Singh A, Mari R, Denn MM et al (2018) A constitutive model for simple shear of dense frictional suspensions. J Rheol 62(2):457–468
go back to reference Smart JR, Leighton DT Jr (1989) Measurement of the hydrodynamic surface roughness of noncolloidal spheres. Physics of Fluids A: Fluid Dynamics 1(1):52–60CrossRef Smart JR, Leighton DT Jr (1989) Measurement of the hydrodynamic surface roughness of noncolloidal spheres. Physics of Fluids A: Fluid Dynamics 1(1):52–60CrossRef
go back to reference Tanner RI, Dai S (2016) Particle roughness and rheology in noncolloidal suspensions. J Rheol 60(4):809–818CrossRef Tanner RI, Dai S (2016) Particle roughness and rheology in noncolloidal suspensions. J Rheol 60(4):809–818CrossRef
go back to reference Tanner RI, Ness C, Mahmud A et al (2018) A bootstrap mechanism for non-colloidal suspension viscosity. Rheologica Acta 57(10):635–643CrossRef Tanner RI, Ness C, Mahmud A et al (2018) A bootstrap mechanism for non-colloidal suspension viscosity. Rheologica Acta 57(10):635–643CrossRef
go back to reference Tomari K, Tonogai S, Harada T et al (1990) The v-notch at weld lines in polystyrene injection moldings. Polymer Eng Sci 30(15):931–936CrossRef Tomari K, Tonogai S, Harada T et al (1990) The v-notch at weld lines in polystyrene injection moldings. Polymer Eng Sci 30(15):931–936CrossRef
go back to reference Vazquez-Quesada A, Tanner RI, Ellero M (2016) Shear thinning of noncolloidal suspensions. Physical review letters 117(10):108–001CrossRef Vazquez-Quesada A, Tanner RI, Ellero M (2016) Shear thinning of noncolloidal suspensions. Physical review letters 117(10):108–001CrossRef
go back to reference Vázquez-Quesada A, Mahmud A, Dai S, et al (2017) Investigating the causes of shear-thinning in non-colloidal suspensions: Experiments and simulations. J Non-Newtonian Fluid Mech 248:1–7 Vázquez-Quesada A, Mahmud A, Dai S, et al (2017) Investigating the causes of shear-thinning in non-colloidal suspensions: Experiments and simulations. J Non-Newtonian Fluid Mech 248:1–7
go back to reference Vinogradova OI, Yakubov GE (2006) Surface roughness and hydrodynamic boundary conditions. Phys Rev E 73(4):045–302CrossRef Vinogradova OI, Yakubov GE (2006) Surface roughness and hydrodynamic boundary conditions. Phys Rev E 73(4):045–302CrossRef
go back to reference Wiederseiner S, Andreini N, Epely-Chauvin G et al (2011) Refractive-index and density matching in concentrated particle suspensions: a review. Exp Fluids 50(5):1183–1206CrossRef Wiederseiner S, Andreini N, Epely-Chauvin G et al (2011) Refractive-index and density matching in concentrated particle suspensions: a review. Exp Fluids 50(5):1183–1206CrossRef
go back to reference Wilson HJ (2005) An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow. J Fluid Mech 534:97–114CrossRef Wilson HJ (2005) An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow. J Fluid Mech 534:97–114CrossRef
go back to reference Wilson HJ, Davis RH (2002) Shear stress of a monolayer of rough spheres. J Fluid Mech 452:425–441 Wilson HJ, Davis RH (2002) Shear stress of a monolayer of rough spheres. J Fluid Mech 452:425–441
go back to reference Wyart M, Cates ME (2014) Discontinuous shear thickening without inertia in dense non-brownian suspensions. Phys Rev Lett 112(9):098-302CrossRef Wyart M, Cates ME (2014) Discontinuous shear thickening without inertia in dense non-brownian suspensions. Phys Rev Lett 112(9):098-302CrossRef
go back to reference Yeo K, Maxey MR (2010) Dynamics of concentrated suspensions of non-colloidal particles in couette flow. J Fluid Mech 649:205–231CrossRef Yeo K, Maxey MR (2010) Dynamics of concentrated suspensions of non-colloidal particles in couette flow. J Fluid Mech 649:205–231CrossRef
go back to reference Yeo K, Maxey MR (2010) Ordering transition of non-brownian suspensions in confined steady shear flow. Phys Rev E 81(5):051–502CrossRef Yeo K, Maxey MR (2010) Ordering transition of non-brownian suspensions in confined steady shear flow. Phys Rev E 81(5):051–502CrossRef
go back to reference Yeo K, Maxey MR (2010) Simulation of concentrated suspensions using the force-coupling method. J Comput Phys 229(6):2401–2421CrossRef Yeo K, Maxey MR (2010) Simulation of concentrated suspensions using the force-coupling method. J Comput Phys 229(6):2401–2421CrossRef
go back to reference Yeo K, Maxey MR (2011) Numerical simulations of concentrated suspensions of monodisperse particles in a poiseuille flow. J Fluid Mech 682:491–518CrossRef Yeo K, Maxey MR (2011) Numerical simulations of concentrated suspensions of monodisperse particles in a poiseuille flow. J Fluid Mech 682:491–518CrossRef
go back to reference Zarraga IE, Hill DA, Leighton DT Jr (2000) The characterization of the total stress of concentrated suspensions of noncolloidal spheres in newtonian fluids. J Rheol 44(2):185–220CrossRef Zarraga IE, Hill DA, Leighton DT Jr (2000) The characterization of the total stress of concentrated suspensions of noncolloidal spheres in newtonian fluids. J Rheol 44(2):185–220CrossRef
go back to reference Zhou JZ, Uhlherr PH, Luo FT (1995) Yield stress and maximum packing fraction of concentrated suspensions. Rheologica acta 34(6):544–561CrossRef Zhou JZ, Uhlherr PH, Luo FT (1995) Yield stress and maximum packing fraction of concentrated suspensions. Rheologica acta 34(6):544–561CrossRef
Metadata
Title
Rheology of non-Brownian suspensions: a rough contact story
Authors
Elisabeth Lemaire
Frédéric Blanc
Cyrille Claudet
Stany Gallier
Laurent Lobry
François Peters
Publication date
02-06-2023
Publisher
Springer Berlin Heidelberg
Published in
Rheologica Acta / Issue 5-6/2023
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-023-01394-z

Other articles of this Issue 5-6/2023

Rheologica Acta 5-6/2023 Go to the issue

Premium Partners