A new constitutive model for monodispersed suspensions of spheres at high concentrations

Rheologica Acta

Volumn 38, Issue 4, 1999, Pages 297-304

  Phan Thien, Nhan ^b   Fan, Xi Jun ^b   Khoo, Boo Cheong ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NONE

Author keywords

Anisotropic diffusion; Constitutive equation; Normalised first normal stress; Reduced viscosity; Suspension

Indexed keywords

ANISOTROPIC MEDIUM; DIFFUSION; MATHEMATICAL MODELING; SUSPENSION; VISCOSITY;

EID: 0033460321     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003970050181     Document Type: Article

References (29)

1. Acrivos A, Jeffrey DJ, Gadala-Maria F, Herbolzheimer E (1979) The rheology of concentrated suspensions and their settling characteristics in vessels having inclined walls AF-1085 Research Project 314-1 Final Report
2. Advani SG, Tucker CL (1990) Closure approximations for three-dimensional structure tensors. J Rheol 34:367-386
3. Batchelor GK (1970) The stress system on a suspension of force-free and torque-free particles. J Fluid Mech 44:545-570
4. Brady JF, Bossis G (1988) Stokesian dynamics. Annu Rev Fluid Mech 20:111-157
5. Brady JF, Morris JF (1997) Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J Fluid Mech 348:103-139
6. Brady JF, Vicic M (1995) Normal stresses in colloidal dispersions. J Rheol 39:545-566
7. Brenner H (1972) Suspension rheology Prog Heat Mass Transfer 5:89-129
8. Cintra JS Jr, Tucker CL (1995) Orthotropic closure approximation for flow-induced fiber orientation. J Rheol 39:1095-1122
9. Ericksen JL (1960) Transversely isotropic fluids, Kolloid Z 173:117-122
10. Folgar FP, Tucker CL (1984) Orientation behavior of fibers in concentrated suspensions. J Reinforced Plast Compos 3:98-119
11. Gadala-Maria F (1979) The rheology of concentrated suspensions. Ph.D. Dissertation, Stanford University
12. Gadala-Maria F, Acrivos A (1980) Shear-induced structure in a concentrated suspension of solid spheres. J Rheol 24:799-814
13. Hand GL (1961) A theory of dilute suspensions. Arch Ration Mech Anal 7:81-86
14. Hinch EJ, Leal LG (1972) The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J Fluid Mech 52:683-712
15. Hinch EJ, Leal LG (1976) Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations. J Fluid Mech 76:187-208
16. Hoffman RL (1972) Discontinuous and dilatant viscosity behavior in concentrated suspensions. I. Observation of a flow instability. Trans Soc Rheol 16:152-173
17. Husband DM, Aksel N, Gleissle W (1993) The existence of static yield stresses in suspensions containing noncolloidal particles. J Rheol 37:215-235
18. Jeffery GB (1922) The motion of ellipsoidal particles immersed in a viscous fluid. Proc R Soc A 102:161-179
19. Jeffrey DJ, Acrivos A (1976) The rheological properties of suspensions of rigid particles. AIChE J 22:417-432
20. Kim S, Karrila SJ (1991) Microhydrodynamics: Principles and selected applications. Butterworth-Heinemann, Massachusetts
21. Krieger IM (1972) Rheology of monodispersed lattices. Adv Colloid Interface Sci 3:111-136
22. Leal LG, Hinch EJ (1973) Theoretical studies of a suspension of rigid particles affected by Brownian couples. Rheol Acta 12:127-132
23. Metzner AB (1985) Rheology of suspensions in polymeric liquids. J Rheol 29:739-775
24. Metzner AB, Whitlock M (1958) Flow behaviours of concentrated (dilatant) suspensions. Trans Soc Rheol 2:239-254
25. Ohl N, Gleissle W (1993) The characterization of the steady-state-shear and normal stress functions of highly concentrated suspension formulated with viscoelastic liquids. J Rheol 37:381-406
26. Phan-Thien N (1995) Constitutive equation for concentrated suspensions in Newtonian liquids. J Rheol 39:679-695
27. Phan-Thien N, Pham DC (1997) Differential multiphase models for polydispersed suspensions and particulate solids. J Non-Newtonian Fluid Mech 72:305-318
28. Phung TN, Brady JF, Bossis G (1996) Stokesian dynamics simulation of Brownian suspensions. J Fluid Mech 313:181-207
29. Thomas DG (1969) Transport characteristics of suspensions VII. A note on the viscosity of Newtonian suspensions of uniform spherical particles. J Colloid Sci 20:267-277