Particle migration in oscillatory torsional flows of concentrated suspensions

Journal of Rheology

Volumn 54, Issue 3, 2010, Pages 663-686

  Deshpande, Kapil V ^a   Shapley, Nina C ^a  

^a The State University of New Jersey   (United States)

Author keywords

Concentrated; Migration; Noncolloidal; Oscillatory; Suspension; Torsional flow

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONTINUUM MECHANICS; PARALLEL FLOW; RHEOLOGY;

BULK PARTICLE VOLUME FRACTION; CONCENTRATED SUSPENSION; CONTINUUM MODEL; DRIFT VELOCITIES; EXPERIMENTAL INVESTIGATIONS; FLOW EVOLUTION; FREQUENCY OF OSCILLATION; LINEAR FUNCTIONS; LOCAL INTERACTIONS; LOCAL MINIMUMS; MICRO-STRUCTURAL; MIGRATION PHENOMENA; MONODISPERSE; NONCOLLOIDAL; ORDERED MICROSTRUCTURES; OSCILLATORY FLOWS; OSCILLATORY STRAIN; PARALLEL PLATES; PARTICLE MIGRATION; PARTICLE STRESS; PARTICLE TRACKING; RADIAL MIGRATION; RADIAL SHEAR; RHEOLOGICAL MEASUREMENTS; STRAIN VALUES; SUSPENSION BALANCE; TRACER PARTICLE; VIDEO IMAGING;

SUSPENSIONS (FLUIDS);

EID: 84981214824     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.3361668     Document Type: Article

References (65)

1. Abbott, J. R., N. Tetlow, A. L. Graham, S. A. Altobelli, E. Fukushima, L. A. Mondy, and T. S. Stephens, " Experimental observations of particle migration in concentrated suspensions-Couette flow.," J. Rheol. 0148-6055 35 (5), 773-795 (1991). 10.1122/1.550157
2. Altobelli, S. A., E. Fukushima, and L. A. Mondy, " Nuclear magnetic resonance imaging of particle migration in suspensions undergoing extrusion.," J. Rheol. 0148-6055 41 (5), 1105-1115 (1997). 10.1122/1.550865
3. Bailey, B. C., and M. Yoda, " An aqueous low-viscosity density- and refractive index-matched suspension system.," Exp. Fluids 0723-4864 35, 1-3 (2003). 10.1007/s00348-003-0598-9 (Pubitemid 37005769)
4. Breedveld, V., D. van den Ende, R. Jongschaap, and J. Mellema, " Shear-induced diffusion and rheology of noncolloidal suspensions: Time scales and particle displacements.," J. Chem. Phys. 0021-9606 114, 5923-5936 (2001). 10.1063/1.1355315 (Pubitemid 32400253)
5. Breedveld, V., D. van den Ende, A. Tripathi, and A. Acrivos, " The measurement of the shear-induced particle and fluid tracer diffusivities in concentrated suspensions by a novel method.," J. Fluid Mech. 0022-1120 375, 297-318 (1998). 10.1017/S0022112098002808
6. Bricker, J. M., and J. E. Butler, " Oscillatory shear of suspensions of noncolloidal particles.," J. Rheol. 0148-6055 50, 711-728 (2006). 10.1122/1.2234366 (Pubitemid 44393668)
7. Bricker, J. M., and J. E. Butler, " Correlation between stresses and microstructure in concentrated suspensions of non-Brownian spheres subject to unsteady shear flows.," J. Rheol. 0148-6055 51, 735-759 (2007). 10.1122/1.2724886 (Pubitemid 47182282)
8. Butler, J. E., P. D. Majors, and R. T. Bonnecaze, " Observations of shear-induced particle migration for oscillatory flow of a suspension within a tube.," Phys. Fluids 1070-6631 11, 2865-2877 (1999). 10.1063/1.870145
9. Chan, D., and R. L. Powell, " Rheology of suspensions of spherical particles in a Newtonian and a non-Newtonian fluid.," J. Non-Newtonian Fluid Mech. 0377-0257 15, 165-179 (1984). 10.1016/0377-0257(84)80004-X (Pubitemid 14604664)
10. Chapman, B. K., " Shear induced migration phenomena in concentrated suspensions.," Ph.D. thesis, University of Notre Dame, 1990.
11. Chow, A. W., S. W. Sinton, J. H. Iwamiya, and T. S. Stephens, " Shear-induced particle migration in Couette and parallel-plate viscometers-NMR imaging and stress measurements.," Phys. Fluids 1070-6631 6 (8), 2561-2576 (1994). 10.1063/1.868147 (Pubitemid 284145)
12. Corbett, A. M., R. J. Phillips, R. J. Kauten, and K. L. McCarthy, " Magnetic resonance imaging of concentration and velocity profiles of pure fluids and solid suspensions in rotating geometries.," J. Rheol. 0148-6055 39, 907-924 (1995). 10.1122/1.550724
13. Dinnar, U., Cardiovascular Fluid Dynamics (CRC Press, Boca Raton, 1981).
14. Fang, Z., A. Mammoli, J. F. Brady, M. S. Ingber, L. A. Mondy, and A. L. Graham, " Flow-aligned tensor models for suspension flows.," Int. J. Multiphase Flow 0301-9322 28, 137-166 (2002). 10.1016/S0301-9322(01)00055-6 (Pubitemid 34025645)
15. Feng, J., and D. D. Joseph, " The motion of solid particles suspended in viscoelastic liquids under torsional shear.," J. Fluid Mech. 0022-1120 324, 199-222 (1996). 10.1017/S0022112096007896 (Pubitemid 126453653)
16. Gadala-Maria, F., and A. Acrivos, " Shear induced structure in a concentrated suspension of solid spheres.," J. Rheol. 0148-6055 24, 799 (1980). 10.1122/1.549584 (Pubitemid 11465299)
17. Gondret, P., and L. Petit, " Viscosity of disordered and ordered suspensions of solid spheres: Experimental results and models.," C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. 1251-8069 321, 25 (1995).
18. Gondret, P., and L. Petit, " Viscosity of periodic suspensions.," Phys. Fluids 1070-6631 8, 2284-2291 (1996). 10.1063/1.869015
19. Hampton, R. E., A. A. Mammoli, A. L. Graham, N. Tetlow, and S. A. Altobelli, " Migration of particles undergoing pressure-driven flow in a circular conduit.," J. Rheol. 0148-6055 41, 621-640 (1997). 10.1122/1.550863
20. Han, M., C. Kim, M. Kim, and S. Lee, " Particle migration in tube flow of suspensions.," J. Rheol. 0148-6055 43, 1157-1174 (1999). 10.1122/1.551019 (Pubitemid 129304693)
21. Heymann, L., S. Peukert, and N. Aksel, " Investigation of the solid-liquid transition of highly concentrated suspensions in oscillatory amplitude sweeps.," J. Rheol. 0148-6055 46, 93-112 (2002). 10.1122/1.1423314 (Pubitemid 34491258)
22. Hill, C. T., " Nearly viscometric flow of viscoelastic fluids in the disk and cylinder system. II. Experimental.," Trans. Soc. Rheol. 0038-0032 16, 213-245 (1972). 10.1122/1.549241
23. Ingber, M. S., A. L. Graham, L. A. Mondy, and Z. Fang, " An improved constitutive model for concentrated suspensions accounting for shear-induced particle migration rate dependence on particle radius.," Int. J. Multiphase Flow 0301-9322 35, 270-276 (2009). 10.1016/j.ijmultiphaseflow.2008.11.003
24. Iwamiya, J. H., A. W. Chow, and S. W. Sinton, " NMR flow imaging of Newtonian liquids and a concentrated suspension through an axisymmetrical sudden contraction.," Rheol. Acta 0035-4511 33, 267-282 (1994). 10.1007/BF00366953
25. Jin, B., and A. Acrivos, " Theory of particle segregation in rimming flows of suspensions containing neutrally buoyant particles.," Phys. Fluids 1070-6631 16, 641-651 (2004). 10.1063/1.1640375 (Pubitemid 38485345)
26. Kim, C., " Migration in concentrated suspension of spherical particles dispersed in polymer solution.," Korea-Aust. Rheol. J. 1226-119X 13, 19-27 (2001).
27. Kim, J. M., S. G. Lee, and C. Kim, " Numerical simulations of particle migration in suspension flows: Frame-invariant formulation of curvature-induced migration.," J. Non-Newtonian Fluid Mech. 0377-0257 150, 162-176 (2008).
28. Knipmeyer, K. M., and D. J. Pine, Society of Rheology 75th Annual Meeting, Pittsburgh, PA, October, 2003 (unpublished).
29. Koh, C. J., P. Hookham, and L. G. Leal, " An experimental investigation of concentrated suspension flows in a rectangular channel.," J. Fluid Mech. 0022-1120 266, 1-32 (1994). 10.1017/S0022112094000911
30. Kolli, V. G., E. J. Pollauf, and F. Gadala-Maria, " Transient normal stress response in a concentrated suspension of spherical particles.," J. Rheol. 0148-6055 46, 321-334 (2002). 10.1122/1.1428320 (Pubitemid 34491270)
31. Krieger, I. M., " Rheology of monodisperse lattices.," Adv. Colloid Interface Sci. 0001-8686 3, 111-136 (1972). 10.1016/0001-8686(72)80001-0
32. Krishnan, G. P., S. Beimfohr, and D. Leighton, " Shear-induced radial segregation in bidisperse suspensions.," J. Fluid Mech. 0022-1120 321, 371-393 (1996). 10.1017/S0022112096007768
33. Leighton, D., and A. Acrivos, " The shear-induced migration of particles in concentrated suspensions.," J. Fluid Mech. 0022-1120 181, 415-439 (1987). 10.1017/S0022112087002155
34. Lyon, M. K., and L. G. Leal, " An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems.," J. Fluid Mech. 0022-1120 363, 25-56 (1998). 10.1017/S0022112098008817
35. McCoy, D. H., and M. M. Denn, " Secondary flow in a parallel plate rheometer.," Rheol. Acta 0035-4511 10, 408-411 (1971). 10.1007/BF01993718
36. Merhi, D., E. Lemaire, G. Bossis, and F. Moukalled, " Particle migration in a concentrated suspension flowing between rotating parallel plates: Investigation of diffusion flux coefficient.," J. Rheol. 0148-6055 49, 1429-1448 (2005). 10.1122/1.2079247 (Pubitemid 44538287)
37. Miller, R. M., and J. F. Morris, " Normal stress-driven migration and axial development in pressure-driven flow of concentrated suspensions.," J. Non-Newtonian Fluid Mech. 0377-0257 135, 149-165 (2006). 10.1016/j.jnnfm.2005.11.009
38. Moraczewski, T., and N. C. Shapley, " The effect of inlet conditions on concentrated suspension flows in abrupt expansions.," Phys. Fluids 1070-6631 18, 123303 (2006). 10.1063/1.2409619 (Pubitemid 46055919)
39. Moraczewski, T., and N. C. Shapley, " Pressure drop enhancement in a concentrated suspension flowing through an abrupt axisymmetric contraction-expansion.," Phys. Fluids 1070-6631 19, 103304 (2007). 10.1063/1.2786214 (Pubitemid 350047931)
40. Moraczewski, T., H. Tang, and N. C. Shapley, " Flow of a concentrated suspension through an abrupt axisymmetric expansion measured by nuclear magnetic resonance imaging.," J. Rheol. 0148-6055 49, 1409-1428 (2005). 10.1122/1.2079227 (Pubitemid 44538286)
41. Morris, J. F., " Anomalous migration in simulated oscillatory pressure-driven flow of a concentrated suspension.," Phys. Fluids 1070-6631 13, 2457-2462 (2001). 10.1063/1.1390363 (Pubitemid 32836183)
42. Morris, J. F., and F. Boulay, " Curvilinear flows of noncolloidal suspensions: The role of normal stresses.," J. Rheol. 0148-6055 43, 1213-1238 (1999). 10.1122/1.551021
43. Narumi, T., H. See, Y. Honma, T. Hasegawa, T. Takahashi, and N. Phan-Thien, " Transient response of concentrated suspensions after shear reversal.," J. Rheol. 0148-6055 46, 295-305 (2002). 10.1122/1.1428321 (Pubitemid 34491268)
44. Narumi, T., H. See, A. Suzuki, and T. Hasegawa, " Response of concentrated suspensions under large amplitude oscillatory shear flow.," J. Rheol. 0148-6055 49, 71-85 (2005). 10.1122/1.1814112 (Pubitemid 43066239)
45. Petit, L., and P. Gondret, " Rectification of an alternating flow.," J. Phys. II 1155-4312 2, 2115-2144 (1992). 10.1051/jp2:1992256
46. Phillips, R. J., R. C. Armstrong, R. A. Brown, A. L. Graham, and J. R. Abbott, " A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration.," Phys. Fluids A 0899-8213 4, 30-40 (1992). 10.1063/1.858498
47. Pine, D. J., J. B. Gollub, J. F. Brady, and A. M. Leshansky, " Chaos and threshold for reversibility in sheared suspensions.," Nature (London) 0028-0836 438, 997-1000 (2005). 10.1038/nature04380 (Pubitemid 43093969)
48. Ponche, A., and D. Dupuis, " On instabilities and migration phenomena in cone and plate geometry.," J. Non-Newtonian Fluid Mech. 0377-0257 127, 123-129 (2005). 10.1016/j.jnnfm.2005.02.007 (Pubitemid 40792416)
49. Ramachandran, A., " The effect of flow geometry on shear-induced particle segregation and resuspension.," Ph.D. thesis, University of Notre Dame, 2007.
50. Ramachandran, A., and D. T. Leighton, " The effect of gravity on the meniscus accumulation phenomenon in a tube.," J. Rheol. 0148-6055 51, 1073-1098 (2007). 10.1122/1.2754309 (Pubitemid 47330592)
51. Ramachandran, A., and D. T. Leighton, " The influence of secondary flows induced by normal stress differences on the shear-induced migration of particles in concentrated suspensions.," J. Fluid Mech. 0022-1120 603, 207-243 (2008). 10.1017/S0022112008000980 (Pubitemid 351622232)
52. Ramachandran, A., and D. T. Leighton, " Particle migration in concentrated suspensions undergoing squeeze flow.," J. Rheol. 0148-6055 54, 563-589 (2010).
53. Rao, R. R., L. A. Mondy, T. A. Baer, S. A. Altobelli, and T. S. Stephens, " NMR measurements and simulations of particle migration in non-Newtonian fluids.," Chem. Eng. Commun. 0098-6445 189, 1-22 (2002). 10.1080/00986440211827 (Pubitemid 37284144)
54. Rao, R. R., L. A. Mondy, and S. A. Altobelli, " Instabilities during batch sedimentation in geometries containing obstacles: A numerical and experimental study.," Int. J. Numer. Methods Fluids 0271-2091 55, 723-735 (2007). 10.1002/fld.1483 (Pubitemid 350042078)
55. Shapley, N. C., R. C. Armstrong, and R. A. Brown, " Laser Doppler velocimetry measurements of particle velocity fluctuations in a concentrated suspension.," J. Rheol. 0148-6055 46, 241-272 (2002). 10.1122/1.1427908 (Pubitemid 34491266)
56. Shapley, N. C., R. A. Brown, and R. C. Armstrong, " Evaluation of particle migration models based on laser Doppler velocimetry measurements in concentrated suspensions.," J. Rheol. 0148-6055 48, 255-279 (2004). 10.1122/1.1647560
57. Singh, A., A. Nir, and R. Semiat, " Free-surface flow of concentrated suspensions.," Int. J. Multiphase Flow 0301-9322 32, 775-790 (2006). 10.1016/j.ijmultiphaseflow.2006.02.018 (Pubitemid 43975213)
58. Sinton, S. W., and A. W. Chow, " NMR flow imaging of fluids and solid suspensions in Poiseuille flow.," J. Rheol. 0148-6055 35, 735-772 (1991). 10.1122/1.550253
59. Stickel, J. J., R. J. Phillips, and R. L. Powell, " Application of a constitutive model for particulate suspensions: Time-dependent viscometric flows.," J. Rheol. 0148-6055 51, 1271-1302 (2007). 10.1122/1.2790462 (Pubitemid 350209516)
60. Subia, S. R., M. S. Ingber, L. A. Mondy, S. A. Altobelli, and A. L. Graham, " Modeling of concentrated suspensions using a continuum constitutive equation.," J. Fluid Mech. 0022-1120 373, 193-219 (1998). 10.1017/S0022112098002651
61. Tirumkudulu, M., A. Tripathi, and A. Acrivos, " Particle segregation in monodisperse sheared suspensions.," Phys. Fluids 1070-6631 11, 507-509 (1999). 10.1063/1.869923
62. Won, D., and C. Kim, " Alignment and aggregation of spherical particles in viscoelastic fluid under shear flow.," J. Non-Newtonian Fluid Mech. 0377-0257 117, 141-146 (2004). 10.1016/j.jnnfm.2004.01.005 (Pubitemid 38549667)
63. Xi, C., and N. C. Shapley, " Flows of concentrated suspensions through an asymmetric bifurcation.," J. Rheol. 0148-6055 52, 625-647 (2008). 10.1122/1.2833469 (Pubitemid 351357554)
64. Yapici, K., R. L. Powell, and R. J. Phillips, " Particle migration and suspension structure in steady and oscillatory plane Poiseuille flow.," Phys. Fluids 1070-6631 21, 053302 (2009). 10.1063/1.3119802
65. Zarraga, I. E., D. A. Hill, and D. T. Leighton, " The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids.," J. Rheol. 0148-6055 44, 185-220 (2000). 10.1122/1.551083