Suspension flow modeling for general geometries

Chemical Engineering Science

Volumn 64, Issue 22, 2009, Pages 4597-4610

  Miller, Ryan M ^a   Singh, John P ^b   Morris, Jeffrey F ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b City University of New York   (United States)

Author keywords

Complex fluids; Fluid mechanics; Frame invariance; Multiphase flow; Rheology; Suspension

Indexed keywords

CONTACTS (FLUID MECHANICS); ELASTICITY; FLUID DYNAMICS; LIQUIDS; MULTIPHASE FLOW; PLASTICITY; RHEOLOGY; VISCOSITY;

A-FRAMES; BULK MOTION; COMPLEX FLUIDS; COMPLEX GEOMETRIES; CONCENTRATED SUSPENSION; FRAME-INVARIANCE; INVARIANT FORMULATION; NORMAL STRESS; NORMAL STRESS DIFFERENCE; PARTICLE FLUXES; PARTICLE PRESSURE; PARTICLE STRESS; SPATIAL VARIATIONS; SUSPENSION; SUSPENSION FLOWS; TWO-DIMENSIONAL FLOW;

SUSPENSIONS (FLUIDS);

EID: 84980727918     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2009.04.033     Document Type: Article

References (47)

1. Altobelli S.A., Fukushima E., and Mondy L.A. Nuclear magnetic resonance imaging of particle migration in suspensions undergoing extrusion. J. Rheol. 41 5 (1997) 1105-1115
2. Bao W. An economical finite element approximation of generalized Newtonian flows. Comput. Methods Appl. Mech. Eng. 191 (2002) 3637-3648
3. Brady J.F., and Morris J.F. Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J. Fluid Mech. 348 (1997) 103-139
4. Chow A.W., Sinton S.W., Iwamiya J.H., and Stephens T.S. Shear-induced migration in Couette and parallel-plate viscometers: NMR imaging and stress measurements. Phys. Fluids A 6 (1994) 2561-2676
5. Deboeuf A., Gauthier G., Martin J., Yurkovetsky Y., and Morris J.F. Particle pressure in sheared suspensions: a bridge from osmosis to granular dilatancy. Phys. Rev. Lett. 102 (2009) 108301
6. Doi M. Effects of viscoelasticity on polymer diffusion. In: Onuki A., and Kawasaki K. (Eds). Dynamics and Patterns in Complex Fluids. Springer Proceedings in Physics (1990), Springer, New York 100-112
7. 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
8. Evans R.E., and Walters K. Further remarks on the lip-vortex mechanism of vortex enhancement in planar-contraction flows. J. Non-Newtonian Fluid Mech. 32 (1989) 95-105
9. 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
10. Ferziger J.H., and Perić M. Computational Methods for Fluid Dynamics. third ed (2002), Springer, New York
11. 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
12. Gao C., Xu B., and Gilchrist J.F. Mixing and segregation of microspheres in microchannel flows of mono- and bidispersed suspensions. Phys. Rev. E 79 (2009) 036311
13. Goddard J.D. A dissipative anisotropic fluid model for non-colloidal particle dispersions. J. Fluid Mech. 568 (2006) 1-17
14. Horner M., Metcalfe G., Wiggins S., and Ottino J. Transport enhancement mechanisms in open cavities. J. Fluid Mech. 252 (2002) 199-229
15. 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 10 (1993) 2317-2325
16. 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 Flow and Waves (1990), Springer, London
17. Kolli V.G., Pollauf E.J., and Gadala-Maria F. Transient normal stress response in a concentrated suspension of spherical particles. J. Rheol. 46 1 (2002) 321-334
18. Krieger I.M. Rheology of monodisperse latices. Adv. Colloid Interface Sci. 3 (1972) 111-136
19. Leighton D., and Acrivos A. The shear-induced migration of particles in concentrated suspensions. J. Fluid Mech. 181 (1987) 415-439
20. Lipscomb G., Denn M.M., Hur D.U., and Boger D.V. The flow of fiber suspensions in complex geometries. J. Non-Newtonian Fluid Mech. 26 (1988) 297-325
21. MacDonald M.J., and Muller S.J. Experimental study of shear-induced migration of polymers in dilute solutions. J. Rheol. 40 (1996) 259-283
22. Miller, R.M., 2004. Continuum Modeling of Liquid-Solid Suspensions for Nonviscometric Flows. Ph.D. Thesis. Georgia Institute of Technology.
23. Miller R.M., and Morris J.F. Normal stress-driven migration and axial development in pressure-driven flow of a concentrated suspension. J. Non-Newtonian Fluid Mech. 135 (2006) 149-165
24. Mompean G. On predicting abrupt contraction flows with differential and algebraic viscoelastic models. Comput. Fluids 31 (2002) 935-956
25. Moraczewski T., Tang H.Y., and Shapley N.C. Flow of a concentrated suspension through an abrupt axisymmetric expansion measured by nuclear magnetic resonance imaging. J. Rheol. 49 6 (2005) 1409-1428
26. Morris J.F., and Boulay F. Curvilinear flows of noncolloidal suspensions: the role of normal stresses. J. Rheol. 43 5 (1999) 1213-1237
27. Morris J.F., and Katyal B. Microstructure from simulated Brownian suspension flows at large shear rate. Phys. Fluids 14 6 (2002) 1920-1937
28. Nott P.R., and Brady J.F. Pressure-driven flow of suspensions: simulation and theory. J. Fluid Mech. 275 (1994) 157-199
29. Parsi F., and Gadala-Maria F. Fore-and-aft asymmetry in a concentrated suspension of solid spheres. J. Rheol. 31 8 (1987) 725-732
30. Patankar S.V. Numerical Heat Transfer and Fluid Flow. Series in Computational Methods in Mechanics and Thermal Sciences (1980), McGraw-Hill, New York
31. Phan-Thien N. Constitutive equation for concentrated suspensions in Newtonian liquids. J. Rheol. 39 (1995) 679-695
32. 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
33. Phung T.N., Brady J.F., and Bossis G. Stokesian Dynamics simulation of Brownian suspensions. J. Fluid Mech. 313 (1996) 181-207
34. Prosperetti A. The average stress in incompressible disperse flow. Int. J. Multiphase Flow 30 (2004) 1011-1036
35. Purnode B., and Crochet M.J. Flows of polymer solutions through contractions, part 1. Flows of polyacrylamide solutions through planar contractions. J. Non-Newtonian Fluid Mech. 65 (1996) 269-289
36. Richardson J.F., and Zaki W.N. Sedimentation and fluidization: Part I. Trans. Inst. Chem. Eng. 32 (1954) 35-47
37. Ryssel E., and Brunn P.O. Comparison of a quasi-Newtonian fluid with a viscoelastic fluid in planar contraction flow. J. Non-Newtonian Fluid Mech. 86 (1999) 309-335
38. Ryssel E., and Brunn P.O. Flow of a quasi-Newtonian fluid through a planar contraction. J. Non-Newtonian Fluid Mech. 85 (1999) 11-27
39. Sami, S., 1997. Stokesian Dynamics simulation of extensional flow of Brownian suspensions. M.S. Thesis, California Institute of Technology.
40. Schunk P.R., and Scriven L.E. Constitutive equation for modeling mixed extension and shear in polymer solution processing. J. Rheol. 34 7 (1990) 1085-1119
41. Stickel J.J., Phillips R.J., and Powell R.L. A constitutive model for microstructure and total stress in particulate suspensions. J. Rheol. 50 (2006) 379-413
42. Stickel J.J., Phillips R.J., and Powell R.L. Application of a constitutive model for particulate suspensions: time-dependent viscometric flows. J. Rheol. 51 (2007) 1271-1302
43. 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
44. von Pfeil K., Graham M.D., Klingenberg D.J., and Morris J.F. Structure evolution in electrorheological and magnetorheological suspensions from a continuum perspective. J. Appl. Phys. 93 9 (2003) 5769-5779
45. Wilson H.J. An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow. J. Fluid Mech. 534 (2005) 97-114
46. Yurkovetsky Y., and Morris J.F. Particle pressure in sheared Brownian suspensions. J. Rheol. 52 1 (2008) 141-164
47. 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