Turbulent coagulation of colloidal particles

Journal of Fluid Mechanics

Volumn 364, Issue , 1998, Pages 81-113

  Brunk, Brett K ^a   Koch, Donald L ^a,b   Lion, Leonard W ^a  

^a Cornell University   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; COMPUTER SIMULATION; CORRELATION METHODS; HYDRODYNAMICS; PARTICLE SIZE ANALYSIS; REACTION KINETICS; REYNOLDS NUMBER; SHEAR FLOW; STRAIN RATE; TURBULENCE; VAN DER WAALS FORCES;

LAGRANGIAN VELOCITY GRADIENT; TURBULENT COAGULATION;

COAGULATION;

EID: 0032097296     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098001037     Document Type: Article

References (43)

1. ADLER, P. M. 1981 Heterocoagulation in shear flow. J. Colloid. Interface Sci. 83, 106-115.
2. BATCHELOR, G. K. & GREEN, J. T. 1972a The hydrodynamic interaction of two small freely-moving spheres in a linear flow field. J. Fluid Mech. 56, 375-400.
3. 2. J. Fluid Mech. 56, 401-427.
4. BATCHELOR, G. K. 1976 Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 74, 1-29.
5. BROWN, B. W. & LOVATO, J. 1996 RANLIB.C : Library of C Routines for Random Number Generation. NETLIB, NETLIB. ATT.COM.
6. BRUNK, B. K., KOCH, D. L. & LION, L. W. 1997 Hydrodynamic pair diffusion in isotropic random velocity fields with application to turbulent coagulation. Phys. Fluids. 9, 2670-2691.
7. BRUNK, B. K., KOCH, D. L. & LION, L. W. 1998 Observations of coagulation in isotropic turbulence. J. Fluid Mech. (submitted).
8. CAMP, T. R. & STEIN, P. C. 1943 Velocity gradients and internal work in fluid motion. J. Bost. Soc. Civil Engng 30(4), 219-237.
9. CASSON, L. W. & LAWLER, D. F. 1990 Flocculation in turbulent flow: measurement and modeling of particle size distributions. AWWA J. 8, 54-68.
10. DAVIS, R. H. 1984 The rate of coagulation of a dilute polydisperse system of sedimenting spheres. J. Fluid Mech. 145, 179-199.
11. DELICHATSIOS, M. A. & PROBSTEIN, R. F. 1975 Coagulation in turbulent flow: theory and experiment. J. Colloid Interface Sci. 51, 394-405.
12. FEKE, D. L. & SCHOWALTER, W. R. 1983 The effect of Brownian diffusion on shear-induced coagulation of colloidal dispersions. J. Fluid Mech. 133, 17-35.
13. GIRIMAJI, S. S. & POPE, S. B. 1990 A diffusion model for velocity gradients in turbulence, Phys. Fluids A 2, 242-256.
14. GREENE, M. R., HAMMER, D. A. & OLBRICHT, W. L. 1994 The effect of hydrodynamic flow field on colloidal stability. J. Colloid Interface Sci. 167, 232-246.
15. ISRAELACHVILI, J. 1992 Intermolecular and Surface Forces, 2nd edn. Academic.
16. KIM, S. & KARRILA, S. J. 1991 Microhydrodynamics: Principles and Selected Applications, chap. 7, 11. Butterworth-Heinemann.
17. KRAICHNAN, R H. 1970 Diffusion by a random velocity field. Phys. Fluids 13, 22-31.
18. KRONE, R. B. 1978 Estuarine Transport Processes (ed. B. Kferfve). University of South Carolina Press.
19. LEVICH, V. G. 1962 Physiochemical Hydrodynamics, pp. 139-231. Prentice-Hall.
20. MCCAVE, I. N. 1984 Size spectra and aggregation of suspended particles in the deep ocean. Deep-Sea Res. 31, 329-352.
21. MUZZIO, F. J. & OTTINO, J. M. 1988 Coagulation in chaotic flows. Phys. Rev. A 38, 2516-2524.
22. O'MELIA, C. R. 1980 Aquasols: the behavior of small particles in aquatic systems. Environ. Sci. Technol. 14, 1052-1060.
23. OTTINO, J. M. 1991 Unity and diversity in mixing: stretching, diffusion, breakup, and aggregation in chaotic flows. Phys. Fluids A 3, 1417-1430.
24. PEARSON, H. J., VALIOULIS, I. A. & LIST, E. J. 1984 Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 1. Brownian motion and fluid shearing. J. Fluid Mech. 143, 367-385.
25. POPE, S. B. 1990 Lagrangian microscales of turbulence. Phil. Trans. R. Soc. Lond. A 333, 309-319.
26. POPE, S. B. 1996 Turbulent Flows, chap. 1-7, §6.7.2.
27. RUSSEL, W. B., SAVILLE, D. A. & SCHOWALTER, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
28. SAFFMAN, P. G. & TURNER, J. S. 1956 On the collision of drops in turbulent clouds. J. Fluid Mech. 1, 16-30.
29. SCHENKEL, J. H. & KITCHENER, J. A. 1960 At test of the Derjaguin-Verwey-Overbeek theory with a colloidal suspension. Trans. Faraday Soc. 56, 161-173.
30. SHAQFEH, E. S. G. & KOCH, D. L. 1992 Polymer stretch in dilute fixed beds of fibres or spheres. J. Fluid Mech. 244, 17-54.
31. SQUIRES, K. D. & EATON, J. K. 1991 Particle response and turbulence modification in isotropic turbulence. Phys. Fluids A 2, 1191-1203.
32. STUMM, W. & MORGAN, J. J. 1981 Aquatic Chemistry: An Introduction Emphasizing Chemical Equilibrium in Natural Waters, §10.7. Wiley.
33. SUNDARAM, S. & COLLINS, L. R. 1997 Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations. J. Fluid Mech. 335, 75-109.
34. SURESH, L. & WALZ, J. Y. 1996 Effect of surface roughness on the interaction energy between a colloidal sphere and a flat plate. J. Colloid Interface Sci. 183, 199-213.
35. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
36. TOWNSEND, A. A. 1951 The diffusion of heat spots in isotropic turbulence. Proc. R. Soc. Lond. A 209, 418-430.
37. VAN DE VEN, T. G. M. & MASON, S. G. 1977 The microrheology of colloidal dispersions. VII. Orthokinetic double formation of spheres. Colloid Polymer Sci. 255, 468-479.
38. VON NEUMANN, J. 1951 Various techniques used in connection with random digits. US Natl Bur. Stands. Appl. Math. Ser. 12, 36.
39. WANG, L. & MAXEY, M. R. 1993 Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27-68.
40. WANG, L.-P., WEXLER, A. S. & ZHOU, Y. 1998 On the collision rate of small particles in isotropic turbulence. Part 1. Zero-inertia case. Phys. Fluids 10, 266-276.
41. YEUNG, P. K. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.
42. ZEICHNER, G. R. & SCHOWALTER, W. R. 1977 Use of trajectory analysis to study stability of colloidal dispersions in flow fields. AIChE J. 23, 243-254.
43. ZHOU, Y., WEXLER, A. S. & WANG, L.-P. 1998 On the collision rate of small particles in isotropic turbulence. Part 2. Finite inertia case. Phys. Fluids (submitted).