Normal stress-driven migration and axial development in pressure-driven flow of concentrated suspensions

Journal of Non-Newtonian Fluid Mechanics

Volumn 135, Issue 2-3, 2006, Pages 149-165

  Miller, Ryan M ^a   Morris, Jeffrey F ^b  

^a SCHAFER CORPORATION   (United States)

^b City University of New York   (United States)

Author keywords

Channel flow; Finite volume method; Normal stress differences; Particle migration; Suspension flow; Suspension rheology; Tube flow; Two phase flow

Indexed keywords

CHANNEL FLOW; FINITE VOLUME METHOD; MATHEMATICAL MODELS; NEWTONIAN FLOW; PIPE FLOW; RHEOLOGY; STREAM FLOW; TWO PHASE FLOW;

NORMAL STRESS DIFFERENCES; PARTICLE FRACTION; PARTICLE MIGRATION; SUSPENSION FLOW; SUSPENSION RHEOLOGY; VELOCITY AND PRESSURE GRADIENT;

SUSPENSIONS (FLUIDS);

CHANNEL FLOW; FINITE VOLUME METHOD; MATHEMATICAL MODELS; NEWTONIAN FLOW; PIPE FLOW; RHEOLOGY; STREAM FLOW; SUSPENSIONS (FLUIDS); TWO PHASE FLOW;

EID: 33646373905     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2005.11.009     Document Type: Article

References (39)

1. Leighton D.T., and Acrivos A. The shear-induced migration of particles in concentrated suspensions. J. Fluid Mech. 181 (1987) 415-439
2. Abbott J.R., Tetlow N., Graham A.L., Altobelli S.A., Fukushima E., Mondy L.A., and Stephens T.S. Experimental observations of particle migration in concentrated suspensions: Coutate flow. J. Rheol. 35 5 (1991) 773-795
3. Phillips R.J., Armstrong R.C., Brown R.A., Graham A., and Abbott J.R. A constitutive model for concentrated suspensions that accounts for shear-induced particle migration. Phys. Fluids A 4 (1992) 30-40
4. B.K. Chapman, Shear-induced migration phenomena in concentrated suspensions, Ph.D. Thesis, University of Notre Dame, 1990.
5. Chow A.W., Sinton S.W., Kwamiya J.H., and Stephens T.S. Shear-induced migration in Coutate and parallel-plate viscometers: NMR imaging and stress measurements. Phys. Fluids A 6 (1994) 2561-2676
6. Chow A.W., Iwayima J.H., Sinton S.W., and Leighton D.T. Particle migration of non-Brownian, concentrated suspensions in a truncated cone-and-plate. Proceedings of the Society of Rheology Meeting. Sacramento, CA (1995)
7. Subia S.R., Ingber M.S., Mondy L.A., Altobelli S.A., and Graham A.L. Modelling of concentrated suspensions using a continuum constitutive equation. J. Fluid Mech. 373 (1998) 193-219
8. Nott P.R., and Brady J.F. Pressure-driven flow of suspensions: simulation and theory. J. Fluid Mech. 275 (1994) 157-199
9. Morris J.F., and Boulay F. Curvilinear flows of noncolloidal suspensions: the role of normal stresses. J. Rheol. 43 5 (1999) 1213-1237
10. Koh C.J., Hookham P., and Leal L.G. An experimental investigation of concentrated suspension flows in a rectangular channel. J. Fluid Mech. 266 (1994) 1-32
11. Hampton R.E., Mammoli A.A., Graham A.L., Tetlow N., and Altobelli S.A. Migration of particles undergoing pressure-driven flow in a circular conduit. J. Rheol. 41 3 (1997) 621-640
12. Lyon M.K., and Leal L.G. An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems. J. Fluid Mech. 363 (1998) 25-56
13. Han M., Kim C., Kim M., and Lee S. Particle migration in tube flow of suspensions. J. Rheol. 43 5 (1999) 1157-1174
14. Frank M., Anderson D., Weeks E.R., and Morris J.F. Particle migration in pressure-driven flow of a Brownian suspension. J. Fluid Mech. 493 (2003) 363-378
15. Morris J.F., and Brady J.F. Pressure-driven flow of a suspension: buoyancy effects. Int. J. Multiphase Flow 24 1 (1998) 105-130
16. Norman J.T., Nayak H.V., and Bonnecaze R.T. Migration of buoyant particles in low-Reynolds-number pressure-driven flows. J. Fluid Mech. 523 (2005) 1-35
17. Phan-Thien N., and Fang Z. Entrance length and pulsatile flows of a model concentrated suspension. J. Rheol. 40 (1996) 521-529
18. Jenkins J.T., and McTigue D.F. Transport processes in concentrated suspensions: the role of particle fluctuations,. In: Joseph D.D., and Schaeffer D.G. (Eds). Two Phase Flows and Waves (1990), Springer
19. Shapley N.C., Brown R.A., and Armstrong R.C. Evaluation of particle migration models based on laser doppler velocimetry measurements in concentrated suspensions. J. Rheol. 48 2 (2004) 255-279
20. Wallis G.B. One-dimensional Two-phase Flow (1969), McGraw-Hill
21. Jeffrey D.J., Morris J.F., and Brady J.F. The pressure moments for two rigid spheres in low-Reynolds-number flow. Phys. Fluids A 5 (1993) 2317-2325
22. Zarraga I.E., Hill D.A., and Leighton D.T. The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids. J. Rheol. 42 2 (2000) 185-220
23. Drew D.A., and Lahey R.T. Analytical modeling of multiphase flow. In: Roco M.C. (Ed). Particulate Two-Phase Flows (1993), Butterworth-Heinemann, Boston
24. Krieger I.M. Rheology of monodisperse lattices. Adv. Colloid Interf. Sci. 3 (1972) 111-136
25. Richardson J.F., and Zaki W.N. Sedimentation and fluidization: Part I. Trans. Inst. Chem. Eng. 32 (1954) 35-47
26. Mills P., and Snabre P. Rheology and structure of concentrated suspension of hard spheres. shear induced particle migration. J. Phys. II 5 (1995) 1597-1608
27. Seshadri V., and Sutera S.P. Apparent viscosity of coarse, concentrated suspensions in tube flow. Trans. Soc. Rheol. 14 (1970) 351-373
28. Mondy L.A., Graham A.L., and Gottlieb M. Microrheological observations on the onset of non-Newtonian behavior in suspensions. Proceedings of the 10th International Congress on Rheology. Sydney (1988)
29. Lyon M.K., and Leal L.G. An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 2. Bidisperse systems. J. Fluid Mech. 363 (1998) 57-77
30. Altobelli S.A., Givler R.C., and Fukushima E. Velocity and concentration measurements of suspensions by nuclear magnetic resonance imaging. J. Rheol. 35 5 (1991) 721-734
31. Ferziger J.H., and Perić M. Computational Methods for Fluid Dynamics. 3rd ed. (2002), Springer, New York
32. Patankar S.V. Numerical Heat Transfer and Fluid Flow, Series in Computational Methods in Mechanics and Thermal Sciences (1980), McGraw-Hill, New York
33. R.M. Miller, Continuum modeling of liquid-solid suspensions for nonviscometric flows, Ph.D. Thesis, Georgia Institute of Technology, http://etd.gatech.edu/theses/available/etd-11162004-194805/, 2004.
34. R.M. Miller, J.F. Morris, Frame invariant suspension flow modeling in a sharp-edged, sudden contraction flow utilizing a finite volume method, J. Fluid Mech., 2006 (to be submitted for publication).
35. Phung T.N., Brady J.F., and Bossis G. Stokesian dynamics simulation of Brownian suspensions. J. Fluid Mech. 313 (1996) 181-207
36. Morris J.F., and Katyal B. Microstructure from simulated Brownian suspension flows at large shear rate. Phys. of Fluids 14 6 (2002) 1920-1937
37. Fang Z., Mammoli A.A., Brady J.F., Ingber M.S., Mondy L.A., and Graham A.L. Flow-aligned tensor models for suspension flows. Int. J. Multiphase Flow 28 (2002) 137-166
38. Miller R.M., and Morris J.F. Development of a frame-invariant suspension flow model. In: Mammoli A.A., and Brebbia C.A. (Eds). Computational Methods in Multiphase Flow (2003), WIT Press 263-274
39. Timberlake B.D., and Morris J.F. Particle migration and free-surface topography in inclined plane flow of a suspension. J. Fluid Mech. 538 (2005) 309-341