Particle migration and suspension structure in steady and oscillatory plane Poiseuille flow

Physics of Fluids

Volumn 21, Issue 5, 2009, Pages

  Yapici, K ^a   Powell, L R ^a   Phillips, J R ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MICROSTRUCTURE; SHEAR FLOW; SPHERES; STRAIN; VELOCITY;

CONCENTRATED SUSPENSION; CONSERVATION OF MASS; CONSERVATION OF MOMENTUM; HARD SPHERE SUSPENSIONS; MAXIMUM CONCENTRATIONS; PLANE POISEUILLE FLOW; PRESSURE-DRIVEN FLOWS; STOKESIAN DYNAMICS SIMULATION;

SUSPENSIONS (FLUIDS);

EID: 84981169916     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3119802     Document Type: Article

References (50)

1. F. Gadala-Maria and A. Acrivos, "Shear-induced structure in a concentrated suspension of solid spheres," J. Rheol. JORHD20148-6055 24, 799 (1980).10.1122/1.549584
2. V. Breedveld, D. van den Ende, T. Jongschaap, and J. Mellema, "Shear-induced diffusion and rheology of noncolloidal suspensions: Time scales and particle displacements," J. Chem. Phys. JCPSA60021-9606 114, 5923 (2001).10.1063/1.1355315
3. T. Narumi, H. See, Y. Honma, T. Hasegawa, T. Takahashi, and N. Phan-Thien, "Transient response of concentrated suspensions after shear reversal," J. Rheol. JORHD20148-6055 46, 295 (2002).10.1122/ 1.1428321
4. V. G. Kolli, E. J. Pollauf, and F. Gadala-Maria, "Transient normal stress response in a concentrated suspension of spherical particles," J. Rheol. JORHD20148-6055 46, 321 (2002).10.1122/ 1.1428320
5. I. Zarraga, D. A. Hill, and D. T. Leighton, "The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids," J. Rheol. JORHD20148-6055 44, 185 (2000).10.1122/1.551083
6. D. R. Foss and J. F. Brady, "Structure, diffusion and rheology of Brownian suspensions by Stokesian dynamics," J. Fluid Mech. JFLSA70022-1120 407, 167 (2000).10.1017/S0022112099007557
7. D. Leighton and A. Acrivos, "The shear-induced migration of particles in concentrated suspensions," J. Fluid Mech. JFLSA70022-1120 181, 415 (1987).10.1017/S0022112087002155
8. R. J. Phillips, 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 APFADEB0899-8213 4, 30 (1992).10.1063/1.858498
9. C. J. Koh, P. Hookham, and L. G. Leal, "An experimental investigation of concentrated suspension flows in a rectangular channel," J. Fluid Mech. JFLSA70022-1120 266, 1 (1994).10.1017/ S0022112094000911
10. M. K. Lyon 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. JFLSA70022-1120 363, 25 (1998).10.1017/S0022112098008817
11. J. E. Butler, P. D. Majors, and R. T. Bonnecaze, "Observations of shear-induced particle migration for oscillatory flow of a suspension within a tube," Phys. Fluids PHFLE61070-6631 11, 2865 (1999).10.1063/1.870145
12. A. M. Corbett, 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. JORHD20148-6055 39, 907 (1995).10.1122/1.550724
13. P. R. Nott and J. F. Brady, "Pressure-driven flow of suspensions: Simulation and theory," J. Fluid Mech. JFLSA70022-1120 275, 157 (1994).10.1017/S0022112094002326
14. N. C. Shapley, R. A. Brown, and R. C. Armstrong, "Laser Doppler velocimetry measurements of particle velocity fluctuations in a concentrated suspension," J. Rheol. JORHD20148-6055 46, 241 (2002).10.1122/1.1427908
15. J. F. Morris and F. Boulay, "Curvilinear flows of noncolloidal suspensions: The role of normal stresses," J. Rheol. JORHD20148-6055 43, 1213 (1999).10.1122/1.551021
16. R. M. Miller and J. F. Morris, "Normal stress-driven migration and axial development in pressure-driven flow of concentrated suspensions," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 135, 149 (2006).10.1016/j.jnnfm.2005.11.009
17. N. Phan-Thien, "Constitutive equation for concentrated suspensions in Newtonian liquids," J. Rheol. JORHD20148-6055 39, 679 (1995).10.1122/1.550651
18. J. Goddard, "A dissipative anisotropic fluid model for non-colloidal particle dispersions," J. Fluid Mech. JFLSA70022-1120 568, 1 (2006).10.1017/S0022112006002333
19. J. J. Stickel, R. J. Phillips, and R. L. Powell, "A constitutive equation for microstructure and total stress in concentrated suspensions," J. Rheol. JORHD20148-6055 50, 379 (2006).10.1122/ 1.2209558
20. J. J. Stickel, R. J. Phillips, and R. L. Powell, "Application of a constitutive model for particulate suspensions: Time-dependent viscometric flows," J. Rheol. JORHD20148-6055 51, 1271 (2007).10.1122/1.2790462
21. J. F. Brady and J. F. Morris, "Microstructure of strongly sheared suspensions and its impact on rheology and diffusion," J. Fluid Mech. JFLSA70022-1120 348, 103 (1997).10.1017/S0022112097006320
22. J. F. Brady and I. Carpen, "Second normal stress jump instability in non-Newtonian fluids," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 102, 219 (2002).10.1016/S0377-0257(01)00179-3
23. O. G. Harlen, "The negative wake behind a sphere sedimenting through a viscoelastic fluid," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 108, 411 (2002).10.1016/S0377-0257(02)00139-8
24. J. F. Morris, "Anomalous migration in simulated oscillatory pressure-driven flow of a concentrated suspension," Phys. Fluids PHFLE61070-6631 13, 2457 (2001).10.1063/1.1390363
25. P. Gondret and L. Petit, "Viscosity of periodic suspensions," Phys. Fluids PHFLE61070-6631 8, 2284 (1996).10.1063/1.869015
26. L. Corté, P. M. Chaikin, J. P. Gollub, and D. J. Pine, "Random organization in periodically driven systems," Nat. Phys. ZZZZZZ1745-2473 4, 420 (2008).10.1038/nphys891
27. J. F. Richardson and W. N. Zaki, "The sedimentation of a suspension of uniform spheres under conditions of viscous flow," Chem. Eng. Sci. CESCAC0009-2509 3, 65 (1954).10.1016/0009-2509(54)85015-9
28. A. Einstein, Investigations on the Theory of the Brownian Movement (Dover, New York, 1956).
29. S. I. Madanshetty, A. Nadim, and H. A. Stone, "Experimental measurement of shear-induced diffusion in suspensions using long-time data," Phys. Fluids PHFLE61070-6631 8, 2011 (1996).10.1063/1.869004
30. J. Martin, N. Rakotomalala, and D. Salin, "Hydrodynamic dispersion broadening of a sedimentation front," Phys. Fluids PHFLE61070-6631 6, 3215 (1994).10.1063/1.868051
31. J. Martin, N. Rakotomalala, and D. Salin, "Hydrodynamic dispersion of noncolloidal suspensions: Measurement from Einstein's argument," Phys. Rev. Lett. PRLTAO0031-9007 74, 1347 (1995).10.1103/ PhysRevLett.74.1347
32. Y. Yurkovetsky and J. F. Morris, "Particle pressure in sheared Brownian suspensions," J. Rheol. JORHD20148-6055 52, 141 (2008).10.1122/1.2807443
33. D. J. Pine, J. B. Gollub, J. F. Brady, and A. M. Leshansky, "Chaos and threshold for reversibility in sheared suspensions," Nature (London) NATUAS0028-0836 438, 997 (2005).10.1038/nature04380
34. J. Bricker and J. Butler, "Correlation between stresses and microstructure in concentrated suspensions of non-Brownian spheres subject to unsteady shear flows," J. Rheol. JORHD20148-6055 51, 735 (2007).10.1122/1.2724886
35. G. Bossis and J. F. Brady, "Self-diffusion of Brownian particles in concentrated suspensions under shear," J. Chem. Phys. JCPSA60021-9606 87, 5437 (1987).10.1063/1.453708
36. R. J. Phillips, J. F. Brady, and G. Bossis, "Hydrodynamic transport properties of hard-sphere suspensions of freely mobile particles," Phys. Fluids PFLDAS0031-9171 31, 3462 (1988).10.1063/1.866914
37. V. Breedveld, 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. JFLSA70022-1120 375, 297 (1998).10.1017/S0022112098002808
38. H. J. M. Hanley, J. C. Rainwater, and S. Hess, "Shear-induced angular dependence of the liquid pair correlation function," Phys. Rev. A PLRAAN1050-2947 36, 1795 (1987).10.1103/PhysRevA.36.1795
39. J. F. Morris and B. Katyal, "Microstructure from simulated Brownian suspension flows at large shear rate," Phys. Fluids PHFLE61070-6631 14, 1920 (2002).10.1063/1.1476745
40. G. L. Hand, "A theory of anisotropic fluids," J. Fluid Mech. JFLSA70022-1120 13, 33 (1962).10.1017/S0022112062000476
41. C. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics (Springer-Verlag, New York, 2004).
42. R. R. Huilgol and N. Phan-Thien, Fluid Mechanics of Viscoelasticity (Elsevier, Amsterdam, 1997).
43. L. G. Leal, Laminar Flow and Convective Transport Processes (Butterworth-Heinemann, Boston, 1992).
44. M. C. Ingber, S. Feng, A. L. Graham, and H. Brenner, "The analysis of self-diffusion and migration of rough spheres in nonlinear shear flow using a traction-corrected boundary element method," J. Fluid Mech. JFLSA70022-1120 598, 267 (2008).10.1017/S0022112007000043
45. H. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics. The Finite Volume Method (Longman Scientific and Technical, Essex, 1995).
46. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, New York, 1989).
47. J. D. Anderson, Computational Fluid Dynamics: The Basics with Applications (McGraw Hill, New York, 1994).
48. K. Murawski, Analytical and Numerical Methods for Wave Propagation in Fluid Media (World Scientific, River Edge, 2002), Vol. 7.
49. J. Bricker and J. Butler, "Oscillatory shear of suspensions of noncolloidal particles," J. Rheol. JORHD20148-6055 50, 711 (2006).10.1122/1.2234366
50. S. E. Phan and D. T. Leighton, personal communication (2008).