Observations of coagulation in isotropic turbulence

Journal of Fluid Mechanics

Volumn 371, Issue , 1998, Pages 81-107

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

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COAGULATION; COMPUTER SIMULATION; FUNCTIONS; MECHANICAL VARIABLES MEASUREMENT; PARTICLES (PARTICULATE MATTER); RATE CONSTANTS; REGRESSION ANALYSIS; SHEAR FLOW; TURBULENCE; TURBULENT FLOW; VAN DER WAALS FORCES;

ISOTROPIC TURBULENCE; KOLGOMOROV SHEAR RATE; TURBULENT SHEAR INDUCED COAGULATION;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0032155593     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098002183     Document Type: Article

References (40)

1. APPIAH, A. & O'MELIA, C. R. 1990 Coagulation Processes: Destabilization, Mixing and Flocculation in Water Quality and Treatment. Pontius (ed. W. Frederick). McGraw-Hill.
2. ATKINSON, J. F., DAMIANI, L. & HARLEMAN, D. R. F. 1987 A comparison of velocity measurements using a laser anemometer and a hot-film probe, with applications to grid-stirring entertainment experiments. Phys. Fluids 30, 3290.
3. BATCHELOR, G. K. 1976 Brownian diffusion of particles with hydrodynamic interactions. J. Fluid Mech. 74, 1.
4. BRUMLEY, B. H. & JIRKA, G. H. 1987 Near-surface turbulence in a grid-stirred tank. J. Fluid Mech. 183, 235.
5. 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.
6. BRUNK, B. K., KOCH, D. L. & LION, L. W. 1998 Turbulent coagulation of colloidal particles. J. Fluid Mech. 364, 81-113.
7. BRUNK, B., WEBER-SHIRK, M., JENSEN, A., JIRKA, G. & LION, L. W. 1996 Modeling natural hydrodynamic systems with a differential-turbulence column. J. Hydraul. Engng 122, 373-380.
8. CAMP, T. R. & STEIN, P. C. 1943 Velocity gradients and internal work in fluid motion. J. Boston Soc. Civil Engng 30, 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. CLARK, M. M. 1985 Critique of Camp and Stein's RMS velocity gradient. J. Environ. Engng 222, 741-754.
11. DELICHATSIOS, M. A. & PROBSTEIN, R. F. 1975 Coagulation in turbulent flow: theory and experiment. J. Colloid Interface Sci. 51, 394-405.
12. DE SILVA, I. P. D. & FERNANDO, H. J. S. 1992 Some aspects on mixing in a stratified turbulent patch. J. Fluid Mech. 240, 601.
13. E, X. & HOPFINGER, E. J. 1986 On mixing across an interface in stably stratified fluid. J. Fluid Mech. 166, 227.
14. ELIMELECH, M., GREGORY, J., JIA, X. & WILLIAMS, R. 1995 Particle Deposition and Aggregation Measurement Modeling and Simulation, pp. 180-188. Butterworth-Heinemann.
15. 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.
16. FEKE, D. L. & SCHOWALTER, W. R. 1985 The influence of Brownian diffusion on binary flow-induced collision rates in colloidal dispersions. J. Colloid Interface Sci. 106, 203-214.
17. FERNANDO, H. J. S. & LONG, R. R. 1985 On the nature of the entrainment interface of a two-layer fluid subjected to zero-mean-shear turbulence. J. Fluid Mech. 151, 21.
18. GIBBS, R. J. 1982 Floc stability during Coulter-Counter size analysis. J. Sediment. Petrol. 52, 657-660.
19. GIRIMAJI, S. S. & POPE, S. B. 1990 A diffusion model for velocity gradients in turbulence. Phys. Fluids A 2, 242-256.
20. 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.
21. HOPFINGER, E. J. & TOLY, J. A. 1976 Spatially decaying turbulence and its relation to mixing across density interfaces. J. Fluid Mech. 78, 155-175.
22. JENSEN, A. 1997 Experiments and modeling of turbulence, salinity and sediment concentration interactions in a simulated estuarine water column. MS Thesis. School of Civil & Environmental Engineering. Cornell University.
23. KIM, S. & KARRILA, S. J. 1991 Microhydrodynamics: Principles and Selected Applications. Butterworth-Heinemann.
24. KRONE, R. B. 1978 Estuarine Transport Processes (ed. B. Kferfve). University of South Carolina Press.
25. LOHRMAN, A., CABRERA, R. & KRAUS, N. C. 1994 Proc. Symp. on Fundamentals and Advancements in Hydrodynamic Measurements and Experimentation (ed. C. A. Pugh), p. 351. ASCE.
26. MCCAVE, I. N. 1984 Size spectra and aggregation of suspended particles in the deep ocean. Deep-Sea Res. 31, 329-352.
27. O'MELIA, C. R. 1980 Aquasols: the behavior of small particles in aquatic systems. Environ. Sci. Technol. 14, 1052-1060.
28. O'MELIA, C. R. 1995 From Algae to Aquifers in Aquatic Chemistry Interfacial and Interspecies Processes (ed. C. P. Huang, C. R. O'Melia & J. J. Morgan). ACS, Washington, DC.
29. 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.
30. POPE, S. B. 1990 Lagrangian microscales of turbulence. Phil. Trans. R. Soc. Lond. 333, 309-319.
31. PRESS, W. H., TEUKOLSKY, S. A., VETTERLING, W. T. & FLANNERY, B. P. 1992 Numerical Recipes in C. Cambridge University Press.
32. RUSSEL, W. B., SAVILLE, D. A. & SCHOWALTER, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
33. SAFFMAN, P. G. & TURNER, J. S. 1956 On the collision of drops in turbulent clouds. J. Fluid Mech. 1, 16-30.
34. SCHENKEL, J. H. & KITCHENER, J. A. 1960 A test of the Derjaguin-Verwey-Overbeek theory with a colloidal suspension. Trans. Faraday Soc. 56, 161.
35. SPIELMAN, L. A. 1970 Viscous interactions in Brownian coagulation. J. Colloid Interface Sci. 33, 562-571.
36. STUMM, W. & MORGAN, J. J. 1981 Aquatic Chemistry: An Introduction Emphasizing Chemical Equilibrium in Natural Waters. Wiley.
37. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
38. TOWNSEND, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd Edn. Cambridge University Press.
39. VALIOULIS, I. A. & LIST, E. J. 1984 Collision efficiencies of diffusing spherical particles: hydrodynamic, van der Waals and electrostatic forces. Adv. Colloid Interface Sci. 20, 1.
40. 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.