Macroscopic behavior of bidisperse suspensions of noncolloidal particles in yield stress fluids

Journal of Rheology

Volumn 54, Issue 4, 2010, Pages 815-833

  Vu, Thai Son ^a   Ovarlez, Guillaume ^a   Chateau, Xavier ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

Bidisperse; Elastic modulus; Suspension; Yield stress

Indexed keywords

BIDISPERSE; BIDISPERSE SUSPENSION; CLOSED FORM; MACROSCOPIC BEHAVIORS; MONODISPERSE; NONCOLLOIDAL; PACKING MODELS; RANDOM PACKING; RHEOLOGICAL BEHAVIORS; SOLID VOLUME FRACTION; YIELD STRESS FLUIDS;

AIR EJECTORS; ELASTIC MODULI; FLUIDS; PACKING; POLYDISPERSITY; RHEOLOGY; TITRATION; VOLUME FRACTION; YIELD STRESS;

SUSPENSIONS (FLUIDS);

EID: 77954746350     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.3439731     Document Type: Article

References (33)

1. Ancey, C., and H. Jorrot, " Yield stress for particle suspensions within a clay dispersion.," J. Rheol. JORHD2 0148-6055 45, 297-319 (2001). 10.1122/1.1343879 (Pubitemid 32371954)
2. Ben Am, R., and P. Le Goff, " Effet de paroi dans les empilement d́sordonńes de sph̀res et application ̀ la porosit́ de ḿlange binaires.," Powder Technol. POTEBX 0032-5910 1, 281-290 (1967). 10.1016/0032-5910(68)80006-3
3. Bournonville, B., P. Coussot, and X. Chateau, " Modification du mod̀le de Farris pour la prise en compte des interactions ǵoḿtriques d'un ḿlange polydisperse de particules.," Rh́ologie 7, 1-8 (2004).
4. Chang, C., and R. L. Powell, " Effect of particle size distribution on the rheology of concentrated bimodal suspensions.," J. Rheol. JORHD2 0148-6055 38, 85-98 (1994). 10.1122/1.550497
5. Chateau, X., G. Ovarlez, and K. Luu Trung, " Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids.," J. Rheol. JORHD2 0148-6055 52, 489-506 (2008). 10.1122/1.2838254 (Pubitemid 351357548)
6. Chong, J. S., E. B. Christiansen, and A. D. Baer, " Rheology of concentrated suspensions.," J. Appl. Polym. Sci. JAPNAB 0021-8995 15, 2007-2021 (1971). 10.1002/app.1971.070150818
7. Coussot, P., Rheometry of Pastes, Suspensions and Granular Materials (Wiley, New York, 2005). 10.1002/0471720577
8. Cumberland, D. J., and R. J. Crawford, " The packing of particles.," Handbook of Powder Technology (Elsevier, Amsterdam, 1987), Vol. 6.
9. de Larrard, F., Concrete Mixture Proportioning: A Scientific Approach (E&FN Spon, London, 1999).
10. Dodds, J. A., " The porosity and contact points in multicomponent random sphere packings calculated by a simple statistical geometric model.," J. Colloid Interface Sci. JCISA5 0021-9797 77, 317-327 (1980). 10.1016/0021-9797(80)90302-1
11. Dong, K. J., R. Y. Yang, R. P. Zou, and A. B. Yu, " Role of the interparticle forces in the formation of random loose packing.," Phys. Rev. Lett. PRLTAO 0031-9007 96 (14), 145505 (2006). 10.1103/PhysRevLett.96.145505
12. Einstein, A., " Eine neue bestimmung der moleküldimensionen., " Ann. Phys. ANPYA2 0003-3804 324, 289-306 (1906). 10.1002/andp.19063240204
13. Farris, K. J., " Prediction of the viscosity of multimodal suspension from unimodal viscosity data.," Trans. Soc. Rheol. TSRHAZ 0038-0032 12, 281-301 (1968). 10.1122/1.549109
14. Frankel, N. A., and A. Acrivos, " On the viscosity of a concentrated suspension of solid spheres.," Chem. Eng. Sci. CESCAC 0009-2509 22, 847-853 (1967). 10.1016/0009-2509(67)80149-0
15. Geiker, M. R., M. Brandl, L. N. Thrane, and L. F. Nielsen, " On the effect of coarse aggregate fraction and shape on the rheological properties of self-compacting concrete.," Cem., Concr., Aggregates CCAGDP 0149-6123 24, 3-6 (2002). 10.1520/CCA10484J
16. Gondret, P., and L. Petit, " Dynamic viscosity of macroscopic suspensions of bimodal sized solid spheres.," J. Rheol. JORHD2 0148-6055 41, 1261-1274 (1997). 10.1122/1.550850
17. Hashin, Z., and S. Shtrikman, " A variational approach to the theory of the elastic behaviour of multiphase materials.," J. Mech. Phys. Solids JMPSA8 0022-5096 11, 127-140 (1963). 10.1016/0022-5096(63)90060-7
18. Krieger, I. M., and T. J. Dougherty, " A mechanism for non-Newtonian Flow in suspensions of rigid sphere.," Trans. Soc. Rheol. TSRHAZ 0038-0032 3, 137-152 (1959). 10.1122/1.548848
19. Larson, R. G., The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
20. Mahaut, F., X. Chateau, P. Coussot, and G. Ovarlez, " Yield stress and elastic modulus of suspensions of noncolloidal particles in yield stress fluids.," J. Rheol. JORHD2 0148-6055 52, 287-313 (2008a). 10.1122/1.2798234
21. Mahaut, F., S. Moḱddem, X. Chateau, N. Roussel, and G. Ovarlez, " Effect of coarse particle volume fraction on the yield stress and thixotropy of cementious materials.," Cem. Concr. Res. CCNRAI 0008-8846 38, 1276-1285 (2008b). 10.1016/j.cemconres.2008.06.001
22. Neville, A. M., Properties of Concrete, 3rd ed. (Pitman, London, 1981).
23. Onoda, G., and E. G. Liniger, " Random loose packings of uniform spheres and the dilatancy onset.," Phys. Rev. Lett. PRLTAO 0031-9007 64, 2727-2730 (1990). 10.1103/PhysRevLett.64.2727
24. Ovarlez, G., Q. Barral, and P. Coussot, " Three-dimensional jamming and flows of soft glassy materials.," Nature Mater. NMAACR 1476-1122 9, 115-119 (2010). 10.1038/nmat2615
25. Ovarlez, G., F. Bertrand, and S. Rodts, " Local determination of the constitutive law of dense suspension of noncolloidal particles through magnetic resonance imaging.," J. Rheol. JORHD2 0148-6055 50, 259-292 (2006). 10.1122/1.2188528
26. Phan-Thien, N., and D. C. Pham, " Differential multiphase models for polydispersed suspensions and particulate solids.," J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 72, 305-318 (1997). 10.1016/S0377-0257(97)90002-1
27. Probstein, R. F., M. Z. Sengun, and T. -C. Tseng, " Bimodal model of concentrated suspension viscosity for distributed particle sizes.," J. Rheol. JORHD2 0148-6055 38, 811-829 (1994). 10.1122/1.550594
28. Servais, C., R. Jones, and I. Roberts, " The influence of particle size distribution on the processing of food.," J. Food Eng. 51, 201-208 (2002). 10.1016/S0260-8774(01)00056-5 0260-8774 (Pubitemid 33110483)
29. Shapiro, A. P., and R. F. Probstein, " Random packing of spheres and fluidity limits of monodisperse and bidisperse suspensions.," Phys. Rev. Lett. PRLTAO 0031-9007 68, 1422-1425 (1992). 10.1103/PhysRevLett.68.1422
30. Stickel, J. J., and R. L. Powell, " Fluid mechanics and rheology of dense suspensions.," Annu. Rev. Fluid Mech. ARVFA3 0066-4189 37, 129-149 (2005). 10.1146/annurev.fluid.36.050802.122132 (Pubitemid 40301254)
31. Storms, R. F., B. V. Ramarao, and R. H. Weiland, " Low shear rate viscosity of bimodally dispersed suspensions.," Powder Technol. POTEBX 0032-5910 63, 247-259 (1990). 10.1016/0032-5910(90)80050-9
32. Stovall, T., M. Buil, and Ch. Such, "Viscosit́ des suspensions multimodales," Jourńes Physique-Les milieux granulaires, Bull. Liaison Labo. P. et Ch., Special Issue XV, 73-78 (1987).
33. Stovall, T., F. de Larrard, and M. Buil, " Linear packing density model of grains mixtures.," Powder Technol. POTEBX 0032-5910 48, 1 (1986). 10.1016/0032-5910(86)80058-4