Rheology of a suspension of particles in viscoelastic fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 96, Issue 3, 2001, Pages 427-443

  Patankar, Neelesh A ^a   Hu, Howard H ^b  

^a University of Minnesota   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; FINITE ELEMENT METHOD; PARTICLE SIZE ANALYSIS; REYNOLDS NUMBER; RHEOLOGY; STRESS ANALYSIS; SUSPENSIONS (FLUIDS); VISCOELASTICITY; VISCOUS FLOW;

SECOND-ORDER FLUIDS; VISCOELASTIC FLUIDS;

NON NEWTONIAN FLOW;

BULK STRESS; RHEOLOGY; SUSPENDED LOAD; VISCOELASTIC FLUID;

EID: 0034744773     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(00)00154-3     Document Type: Article

References (28)

1. G.K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, UK, 1967.
2. G.K. Batchelor, The stress system in a suspension of force-free particles, J. Fluid Mech. 41 (1970) 545.
3. G.K. Batchelor, Transport properties of two-phase materials with random structure, Ann. Rev. Fluid Mech. 6 (1974) 227.
4. G.K. Batchelor, Developments in microhydrodynamics, in: W. Koiter (Ed.), Theoretical and Applied Mechanics, North Holland, Amsterdam, 1976, p. 33.
5. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, Vol. 1, Wiley/Interscience, New York, 1987.
6. J.F. Brady, The Einstein viscosity correction in n dimensions, Int. J. Multiphase Flow 10 (1984) 113.
7. H. Brenner, Rheology of a dilute suspension of axisymmetric Brownian particles, Int. J. Multiphase Flow 1 (1974) 195.
8. P. Brunn, The behavior of a sphere in non-homogeneous flows of a viscoelastic fluid, Rheol. Acta 15 (1976) 589.
9. P.C.H. Chan, L.G. Leal, A note on the motion of a spherical particle in a general quadratic flow of a second-order fluid, J. Fluid Mech. 82 (1977) 549.
10. A. Einstein, Eine neue Bestimmung der Moleküldimensionen, Ann. Phys. 19 (1906) 289 (34 (1911) 591).
11. A. Einstein, Eine neue Bestimmung der Moleküldimensionen, Ann. Phys. 19 (1906) 289 (34 (1911) 591).
12. C.D. Han, R.G. King, Measurement of the rheological properties of concentrated emulsions, J. Rheol. 24 (1980) 213.
13. D.J. Highgate, R.W. Whorlow, Rheological properties of suspensions of spheres in non-Newtonian media, Rheol. Acta 9 (1970) 569.
14. B.P Ho, L.G. Leal, Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid, J. Fluid Mech. 76 (1976) 783.
15. H.H. Hu, N.A. Patankar, Simulation of particulate flows in Newtonian and viscoelastic fluids, Int. J. Multiphase Flow (1999), in press.
16. P.Y. Huang, H.H. Hu, D.D. Joseph, Direct numerical simulation of the sedimentation of elliptic particles in Oldroyd-B fluids, J. Fluid Mech. 362 (1998) 297.
17. D.J. Jeffrey, A. Acrivos, The rheological properties of suspensions of rigid particles, AIChE J. 22 (1976) 417.
18. M.A. Jefri, A.H. Zahed, Elastic and viscous effects on particle migration in plane-Poiseuille flow, J. Rheol. 33 (1989) 691.
19. P.N. Kaloni, V. Stastna, Steady-shear rheological behavior of the suspension of spherical particles in a second-order fluid, Polym. Eng. Sci. 23 (1983) 465.
20. C. Lin, J.H. Peery, W.R. Schowalter, Simple shear flow round a rigid sphere: inertial effects and suspension rheology, J. Fluid Mech. 44 (1970) 1.
21. J.H. Masliyah, N. Epstein, Numerical study of steady flow past spheroids, J. Fluid Mech. 44 (1970) 493-512.
22. R.T. Mifflin, Dissipation in a dilute suspension of spheres in a second-order fluid, J. Non-Newtonian Fluid Mech. 17 (1985) 267.
23. P.R. Nott, J.F. Brady, Pressure-driven flow of suspensions: simulation and theory, J. Fluid Mech. 275 (1994) 157.
24. N.A. Patankar, Numerical simulation of particulate two-phase flow, Ph.D. thesis, University of Pennsylvania, 1997.
25. N.A. Patankar, H.H. Hu, Two-dimensional periodic mesh generation, in: Proceedings of the 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Starkville, USA, 1996, p. 1175.
26. N.A. Patankar, P. Singh, D.D. Joseph, R. Glowinski, T.-W. Pan, A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows, Int. J. Multiphase Flow 26 (1999) 1509.
27. W.B. Russel, Review of the role of colloidal forces in the rheology of suspensions, J. Rheol. 24 (1980) 287.
28. K. Sun, K. Jayaraman, Bulk rheology of dilute suspensions in viscoelastic liquids, Rheol. Acta 23 (1984) 84.