Characterization of Near-Wall Hydrodynamic Lift Forces Using Sedimentation Field-Flow - Fractionation

Chemical Engineering Communications

Volumn 111, Issue 1, 1992, Pages 121-147

  Williams, P Stephen ^a   Koch, Thomas ^b  

^a UNIVERSITY OF UTAH   (United States)

^b CIBA GEIGY LTD   (Switzerland)

Author keywords

Field flow fractionation; Hydrodynamic lift; Sedimentation

Indexed keywords

EID: 84972920589     PISSN: 00986445     EISSN: 15635201     Source Type: Journal    
DOI: 10.1080/00986449208935984     Document Type: Article

References (74)

1. Afifi, A.A. and Azen, S.P., Statistical Analysis. A Computer Oriented Approach, Academic Press, New York (1979).
2. Alexander, B.M., and Prieve, D.C., A hydrodynamic technique for measurement of colloidal forces. Langmuir, 3, 788–795 (1987).
3. Barman, B.N., Myers, M.N., and Giddings, J.C., Rapid particle size analysis of ground minerals by flow/hyperlayer field-flow fractionation. Powder Technology 59, 53–63 (1989).
4. Brenner, H., The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Eng. Sci. 16, 242–251 (1961).
5. Caldwell, K.D., Field-flow fractionation. Anal. Chem. 60, 959A–971A (1988).
6. Caldwell, K.D., Karaiskakis, G., and Giddings, J.C., Characterization of liposmes by sedimentation field-flow fractionation. Colloids Surfaces 3, 233–238 (1981).
7. Caldwell, K.D., Nguyen, T.T., Myers, M.N., and Giddings, J.C., Observations in anomalous retention in steric field-flow fractionation Sep. Sci. Technol. 14, 935–946 (1979).
8. Caldwell, K.D., Nguyen, T.T. Giddings, J.C., and Mazzone, H.M., Field-flow fractionation of alkali-liberated nuclear polyhedrosis virus from gypsy moth (Lymantria Dispar, Linnaeus) J. Virol Methods 1, 241–256 (1980).
9. Cameron, A., Principles of Lubrication, Chapter 7, Wiley, New York (1966).
10. Chan, P.C.-H., and Leal, L.G., The motion of a deformable drop in a second-order fluid. J. Fluid Mech. 92, 131–170 (1979).
11. Chen, X., Wahlund, K.-G., and Giddings, J.C., Gravity augmented high-speed flow/steric field-flow fractionation: Simultaneous use of two fields. Anal. Chem. 60, 362–365 (1988).
12. Cox, R.G., and Brenner, H., The lateral migration of solid particles in Poiseuille flow-1. Theory. Chem. Eng. Sci. 23, 147–173 (1968).
13. Cox, R.G., and Hsu, S.K., The lateral migration of solid particles in a laminar flow near a plane. Int. J. Multiphase Flow 3, 201–222 (1977).
14. Czichos, H., Tribology. A Systems Approach to the Science and Technology of Friction, Lubrication and Wear, Chapter 4, Elsevier, Amsterdam, The Netherlands (1978).
15. Darabaner, C.L., and Mason, S.G., Particle motions in sheared suspensions. XXII: Interactions of rigid spheres (experimental). Rheol Acta, 6, 273–284 (p).
16. Davis, R.H., and Leighton, D., Shear-induced transport of a particle layer along a porous wall. Chem. Eng. Sci, 42, 275–281 (1987).
17. Dean, W.R., and O’Neill, M.E., A slow motion of viscous liquid caused by the rotation of a solid sphere. Mathematika 10, 13–24 (1963).
18. Durlofsky, L.J., and Brady, J.F., Dynamic simulation of bounded suspensions of hydrodynamically interacting particles. J. Fluid Mech. 200, 39–67 (1989).
19. Eckstein, E.C., Bailey, D.G., and Shapiro, A.H., Self-diffusion of particles in shear flow of a suspension. J. Fluid Mech. 79, 191–208 (1977).
20. Giddings, J.C., A new separation concept based on a coupling of concentration and flow nonuniformities. Sep. SCI. 1, 123–125 (1966).
21. Giddings, J.C., Field-flow fractionation: A versatile method for the characterization of macromolecular and particulate materials. Anal. Chem. 53, 1170A–1175A (1981).
22. Giddings, J.C., Field-flow fractionation. Sep. Sci. Technol. 19, 831–847 (1984).
23. Giddings, J.C., Crossflow gradients in thin channels for separation by hyperlayer FFF, SPLITT cells, elutriation, and related methods. Sep. Sci. 21, 831–843 (1986).
24. Giddings, J.C., Field-flow fractionation. C and E News 66, 34–45 (1988).
25. Giddings, J.C., Caldwell, K.D., and Jones, H.K., Measuring particle size distribution of simple and complex colloids using sedimentation field-flow fractionation. In Particle Size Distribution: Assessment and Characterization (ed. T. Provder), chapter 15, ACS Symposium Series No. 332 (1987a).
26. Giddings, J.C., Chen, X., Wahlund, K.-G. and Myers, M.N., Fast particle separation by flowisteric field-flow fractionation. Anal. Chem. 59, 1957–1962 (1987b).
27. Giddings, J.C., and Dahlgren, K., Resolution and peak capacity in equilibrium-gradient methods of separation. Sep. Sci. 6, 345–356 (1971).
28. Giddings, J.C., Karaiskakis, G., and Caldwell, K.D., Density and particle size of colloidal materials measured by carrier density variations in sedimentation field-flow fractionation. Sep. Sci. Technol 16, 607–618 (1981).
29. Giddings, J.C., Moon, M.H., Williams, P.S., and Myers, M.N., Particle size distribution by sedimentation/steric field-flow fractionation: Development of a calibration procedure based on density compensation. Anal. Chem. 63, 1366–1372 (1991a).
30. Giddings, J.C., and Myers, M.N., Steric field-flow fractionation: A new method for separating 1–100 pm particles. Sep. Sci. Technol. 13, 637–645 (1978).
31. Giddings, J.C., Myers, M.N., Caldwell, K.D., and Fisher, S.R., Analysis of biological macromolecules and particles by field-flow fractionation. In Methods of Biochemical Analysis, Vol. 26, (ed. D. Glick), pp. 79–136. John Wiley (1980).
32. Giddings, J.C., Myers, M.N., Caldwell, K.D., and Pav, J.W., Steric field-flow fractionation as a tool for the size characterization of chromatographic supports. J. Chromatogr. 185, 261–271 (1979).
33. Giddings, J.C., Myers, M.N., Moon, M.H., and Barman, B.N., Particle separation and size characterization by sedimentation field-flow fractionation. In Particle Size Distribution II (ed. T, Provder), ACS Symp. Series No. 472 Chapter 14 (1991b).
34. Goldman, A.J., Cox, R.G., and Brenner, H., Slow viscous motion of a sphere parallel to a plane wall. I. Motion through a quiescent fluid. Chem. Eng. Sci. 22, 637–651 (1967a).
35. Goldman, A.J., Cox, R.G., and Brenner, H., Slow viscous motion of a sphere parallel to a plane wall. II. Couette flow. Chem. Eng. Sci. 22, 653–660 (1967b).
36. Goldsmith, H.L., and Mason, S.G., Axial migration of particles in Poiseuille flow. Nature 190, 1095–1996 (1961).
37. Goldsmith, H.L., and Mason, S.G., The flow of suspensions through tubes. I. Single spheres, rods, and discs. J. Coll. Sci. 17, 448–476 (1962).
38. Graff, K.A., Caldwell, K.D., Myers, M.N., and Giddings, J.C., Characterization of fine coal particles by steric field-flow fractionation. Fuel 63, 621–626 (1984).
39. Ho, B.P., and Leal, L.G., Inertial migration of rigid spheres in two-dimensional unidirectional flows. J. Fluid Mech. 65, 365–400 (1974).
40. Janca, J., and Novakova, N., Retention in sedimentation-flotation focusing field-flow fractionation using a step density gradient. J. Chromatogr. 452, 549–562 (1988).
41. Kraiskakis, G., Myers, M.N., Calwell, K.D., and Giddings, J.C., Verification of retention and zone spreading equations in sedimentation field-flow fractionation. Anal. Chem. 53, 1314–1317 (1981).
42. Karnis, A., Goldsmith, H.L., and Mason, S.G., Axial migration of particles in Poiseuille flow. Nature 200, 159–160 (1963).
43. Karnis, A., and Mason, S.G., Particle motions in sheared suspensions. XXIII. Wall migration of fluid drops. J. Colloid Int. Sci. 24, 164–169 (1967).
44. Koch, T., and Giddings, J.C., High-speed separation of large (>1 pm) particles by steric field-flow fractionation. Anal. Chem. 58, 994–997 (1986).
45. Leighton, D., and Acrivos, A., The lift on a small sphere touching a plane in the presence of a simple shear flow. J. Appl. Math. Phys. (ZAMP) 36, 174–178 (1985).
46. Leighton, D., and Acrivos, A., Viscous resuspension. Chem. Eng. Sci. 41, 1377–1384 (1986).
47. Leighton, D., and Acrivos, A., Measurement of shear-induced self-diffusion in concentrated suspensions of spheres. J. Fuid Mech. 177, 109–131 (1987a).
48. Leighton, D., and Acrivos, A., The shear-induced migration of particles in concentrated suspensions. J, Fluid Mech. 181, 415–439 (1987b).
49. Maude, A.D., End effects in a falling-sphere viscometer. Brit. J. Appl. Phys. 12, 293–295 (1961).
50. Moon, M.H., unpublished results.
51. Oliver, D.R., Influence of particle rotation on radial migration in the Poiseuille flow of suspensions. Nature 192, 1259–1271 (1962).
52. O’Neill, M.E. A slow motion of viscous liquid caused by a slowly moving solid sphere. Mathematika, 11, 67–74 (1964).
53. O’Neill, M.E., Small particles in viscous media. Sci. Prog., Oxf 67, 149–184 (1981).
54. O’Neill, M.E., and Stewartson, K. On the slow motion of a sphere parallel to a nearby plane wall. 7. Fluid Mech, 27, 705–724 (1967).
55. Peterson, R.E., II, Myers, M.N., and Giddings, J.C., Characterization of steric field-flow fractionation using particles to 100μm diameter. Sep. Sci TechnoL 19, 307–319 (1984).
56. Press, W.H., Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T., Numerical Recipes. The Art of Scientific Computing, pp. 86–89, Cambridge University Press (1986a).
57. Press, W.H., Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T., Numerical Recipes. The Art of Scientific Computing, pp. 248–251, Cambridge University Press (1986b).
58. Prieve, D.C., and Alexander, B.M., Hydrodynamic measurement of double-layer repulsion between colloidal particle and flat plate. Science, 231, 1269–1270 (1986).
59. Prieve, D.C., and Bike, S.G., Electrokinetic repulsion between two charged bodies undergoing sliding motion. Chem. Eng. Comm. 55, 149–164 (1987).
60. Ratanathanawongs, S.K., and Giddings, J.C., High-speed size characterization of chromotographic silica by flow/hyperlayer field-flow fractionation. J. Chromatogr. 467, 341–356 (1989).
61. Repetti, R.V., and Leonard, E.F., Segre-Silberberg annulus formation: A possible explanation. Nature, 203, 1346–1348 (1964).
62. Rickwood, D., ed., Centrifugation, 2nd ed., Chapter 2, IRL Press, Oxford (1984).
63. Saffman, P.G., The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385–400 (1965).
64. Saffman, P.G., Corrigendum. J. Fluid Mech. 31, 624 (1968)
65. Schimpf, M.E., and Giddings, J.C., Characterization of thermal diffusion in polymer solutions by thermal field-flow fractionation: effects of molecular weight and branching. Macromolecules 20,1561–1563 (1987).
66. Schimpf, M.E., and Giddings, J.C., Characterization of thermal diffusion in polymer solutions by thermal field-flow fractionation: dependence on polymer and solvent parameters. J. Polym. Sci: Part B: Polym. Phys. 27, 1317–1332 (1989).
67. Serge, G., and Silberberg, A., Radial particle displacements in Poiseuille flow of suspensions. Nature, 189, 209–210 (1961).
68. Segre, G., and Silberberg, A., Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams. J. Fluid Mech. 14, 115–135 (1962a).
69. Segre, G., and Silberberg, A., Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 2. Experimental results and interpretation. J. Fluid Mech. 14, 136–157 (1962b).
70. Takahashi, T. & Gill, W.N., Hydrodynamic chromatography: three dimensional laminar dispersion in rectangular conduits with transverse flow. Chem. Eng. Commun., 5, 367–385 (1980).
71. Tam, C.K.W., and Hyman, W.A., Transverse motion of an elastic sphere in a shear field. J. Fluid Mech. 59, 177–185 (1973).
72. Thormann, W., Firestone, M.A., Dietz, M.L., Cecconie, T., and Mosher, R.A., Focusing counterparts of electrical field-flow fractionation and capillary zone electrophoresis. Electrical hyperlayer field-flow fractionation and capillary isoelectric focusing. J. Chromatogr. 461, 95–101 (1989).
73. Vasseur, P., and Cox, R.G., The lateral migration of a spherical particle in two-dimensional shear flows. J. Fluid Mech. 78, 385–413 (1976).
74. Wesolowsky, G.O., Multiple Regression and Analysis of Variance, John Wiley and Sons, New York (1976).