Effect of shear rate on aggregate size and structure in the process of aggregation and at steady state

Powder Technology

Volumn 235, Issue , 2013, Pages 540-549

  Bubakova, Petra ^a   Pivokonsky, Martin ^a   Filip, Petr ^a  

^a INSTITUTE OF HYDRODYNAMICS   (Czech Republic)

Author keywords

Aggregate size; Aggregation; Fractal dimension; Shear rate; Steady state; Time evolution

Indexed keywords

AGGREGATE GROWTH; AGGREGATE PROPERTIES; AGGREGATE SIZE; AGGREGATION PROCESS; FERRIC SULPHATE; FRACTAL ANALYSIS; LOCAL EXTREMES; LOCAL MAXIMUM; RAW WATER; STEADY STATE; TAYLOR-COUETTE REACTOR; TIME AGGREGATION; TIME EVOLUTIONS;

AGGLOMERATION; FRACTAL DIMENSION; SHEAR DEFORMATION;

AGGREGATES;

FERRIC SULFATE; WATER;

AGGREGATION PROCESS; ARTICLE; CHEMICAL REACTION; CHEMICAL STRUCTURE; CONTROLLED STUDY; FRACTAL ANALYSIS; IMAGE ANALYSIS; PARTICLE SIZE; REACTOR; SHEAR RATE; STEADY STATE; TAYLOR COUETTE REACTOR;

EID: 84871505445     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2012.11.014     Document Type: Article

References (61)

1. Sonntag R.C., Russel W.B. Structure and break-up of flocs subjected to fluid stresses: II Theory. Journal of Colloid and Interface Science 1987, 115(2):378-389.
2. Oles V. Shear-induced aggregation and breakup of polystyrene latex particles. Journal of Colloid and Interface Science 1992, 154(2):351-358.
3. Selomulya C., Bushell G., Amal R., Waite T.D. Understanding the role of restructuring in flocculation: The application of a population balance model. Chemical Engineering Science 2003, 58(2):327-338.
4. Jarvis P., Jefferson B., Gregory J., Parsons S.A. A review of floc strength and breakage. Water Research 2005, 39(14):3121-3137.
5. Soos M., Wang L., Fox R.O., Sefcik J., Morbidelli M. Population balance modeling of aggregation and breakage in turbulent Taylor-Couette flow. Journal of Colloid and Interface Science 2007, 307(2):433-446.
6. Tambo N., Hozumi H. Physical characteristics of flocs - II. Strength of floc. Water Research 1979, 13(5):421-427.
7. Francois R.J. Strength of aluminium hydroxide flocs. Water Research 1987, 21(9):1023-1030.
8. Spicer P.T., Pratsinis S.E. Shear-induced flocculation: The evolution of floc structure and the shape of the size distribution at steady state. Water Research 1996, 30(5):1049-1056.
9. Williams R.A., Peng S.J., Naylor A. In situ measurement of particle aggregation and breakage kinetics in a concentrated suspension. Powder Technology 1992, 73(1):75-83.
10. Bouyer D., Liné A., Cockx A., Do-Quang Z. Experimental analysis of floc size distribution and hydrodynamics in a jar-test. Transactions of IchemE 2001, 79(Part A):1017-1024.
11. Selomulya C., Amal R., Bushell G.C., Waite D. Evidence of shear rate dependence on restructuring and breakup of latex aggregates. Journal of Colloid and Interface Science 2001, 236(1):67-77.
12. Hopkins D.C., Ducoste J.J. Characterizing flocculation under heterogeneous turbulence. Journal of Colloid and Interface Science 2003, 264(1):184-194.
13. Prat O.P., Ducoste J.J. Modeling spatial distribution of floc size in turbulent processes using the quadrature method of moment and computational fluid dynamics. Chemical Engineering Science 2006, 61(1):75-86.
14. Smoluchowski M. Versuch einer Mathematischen Theorie der Koagulationskinetik Kolloider Lösungen. Zeitschrift für Physikalische Chemie 1917, 92(2):129-168.
15. Hounslow M.J., Ryall R.L., Marshall V.R. A discretized population balance for nucleation, growth, and aggregation. AICHE Journal 1988, 34(11):1821-1832.
16. Biggs C.A., Lant P.A. Modelling activated sludge flocculation using population balances. Powder Technology 2002, 124(3):201-211.
17. Heath A.R., Koh P.T.L. Combined population balance and CFD modelling of particle aggregation by polymeric flocculant. Proc. Third International Conference on CFD in the Minerals and Process Industries, CSIRO, 10-12 December, Melbourne, Australia 2003, 339-344.
18. Rahmani N.H.G., Masliyah J.H., Dabros T. Characterization of asphaltenes aggregation and fragmentation in a shear field. AICHE Journal 2003, 49(7):1645-1655.
19. Nopens I., Beheydt D., Vanrolleghem P.A. Comparison and pitfalls of different discretised solution methods for population balance models: a simulation study. Computers and Chemical Engineering 2005, 29(2):367-377.
20. De Boer G.B.J., Hoedemakers G.F.M., Thoenes D. Coagulation in turbulent flow. Part II. Chemical Engineering Research and Design 1989, 67(3):308-315.
21. Flesch J.C., Spicer P.T., Pratsinis S.E. Laminar and turbulent shear-induced flocculation of fractal aggregates. AICHE Journal 1999, 45(5):1114-1124.
22. Ehrl L., Soos M., Morbidelli M. Dependence of aggregate strength, structure, and light scattering properties on primary particle size under turbulent conditions in stirred tanks. Langmuir 2008, 24(7):3070-3081.
23. Ehrl L., Soos M., Morbidelli M., Bäbler M.U. Dependence of initial cluster aggregation kinetics on shear rate for particles of different sizes under turbulence. AICHE Journal 2009, 55(12):3076-3087.
24. Ehrl L., Soos M., Wu H., Morbidelli M. Effect of flow field heterogeneity in coagulators on aggregate size and structure. AICHE Journal 2010, 56(10):2573-2587.
25. Mutl S., Polasek P., Pivokonsky M., Kloucek O. The influence of G and T on the course of aggregation in treatment of medium polluted surface water. Water Science and Technology: Water Supply 2006, 6(1):39-48.
26. Heath A.R., Bahri P.A., Fawell P.D., Farrow J.B. Polymer flocculation of calcite: Experimental results from turbulent pipe flow. AICHE Journal 2006, 52(4):1547-5905.
27. Argaman Y., Kaufman W.J. Turbulence and Flocculation. Journal of the Sanitary Engineering Division 1970, 96(2):223-241.
28. Parker D.S., Kaufman W.J., Jenkins D. Floc breakup in turbulent flocculation processes. Journal of the Sanitary Engineering Division 1972, 98(1):79-99.
29. Sakurai M., Harano Y. Flocculation in microcellulose-aluminium sulphate disperse system. International Chemical Engineering 1982, 22(1):116-124.
30. Mühle K. Floc stability in laminar and turbulent flow. Coagulation and Flocculation 1993, 355-390. Marcel Dekker, New York. B. Dobias (Ed.).
31. Bache D.H., Rasool E.R., Moffat D., McGilligan F.J. On the strength and character of alumino-humic flocs. Water Science and Technology 1999, 40(9):81-88.
32. Bouyer D., Liné A., Do-Quang Z. Experimental analysis of floc size distribution under different hydrodynamics in a mixing tank. AICHE Journal 2004, 50(9):2064-2081.
33. Serra T., Colomer J., Logan B.E. Efficiency of different shear devices on flocculation. Water Research 2008, 42:1113-1121.
34. Pivokonsky M., Bubakova P., Pivokonska L. The effect of global velocity gradient on the character and filterability of aggregates formed during the coagulation/flocculation process. Environmental Technology 2011, 32(12):1355-1366.
35. Coufort C., Bouyer D., Line A. Flocculation related to local hydrodynamics in Taylor-Couette reactor and in a jar. Chemical Engineering Science 2005, 60(8-9):2179-2192.
36. Chakraborti R.K., Garner K.H., Kaur J., Atkinson F.J. In situ analysis of flocs. Journal of Water Supply: Research and Technology-AQUA 2007, 56(1):1-11.
37. Li T., Zhu Z., Wang D., Yao Ch., Tang H. Characterization of floc size, strength and structure under various coagulation mechanisms. Powder Technology 2006, 168(2):104-110.
38. Soos M., Moussa A.S., Ehrl L., Sefcik J., Wu H., Morbidelli M. Effect of shear rate on aggregate size and morphology investigated under turbulent conditions in stirred tank. Journal of Colloid and Interface Science 2008, 319(2):577-589.
39. Boadway J.D. Dynamic of growth and breakage of alum floc in presence of fluid shear. Proc. ASCE, J. Envir. Engng. Div., EE5 1978, 104(5):901-915.
40. Walden R., Donnelly R. Reemergent order of chaotic circular Couette flow. Physical Review Letters 1979, 42(5):301-304.
41. DiPrima R.C., Eagles P.M., Ng B.S. The effect of radius ratio on the stability of Couette flow and Taylor vortex flow. Physics of Fluids 1984, 27(10):2403-2411.
42. Kataoka K. Taylor Vortices and Instabilities in circular Couette flows. Encyclopaedia of Fluid Mechanics 1986, vol. 1:237-273. Gulf Publishing, Houston. N.P. Cheremisinoff (Ed.).
43. Takeda Y. Quasi-periodic state and transition to turbulence in a rotating Couette system. Journal of Fluid Mechanics 1999, 389(1):81-99.
44. Wang L., Marchisio D.L., Vigil R.D., Fox R.O. CFD simulation of aggregation and breakage processes in laminar Taylor-Couette flow. Journal of Colloid and Interface Science 2005, 282(2):380-396.
45. Wang L., Olsen M.G., Vigil R.D. Reappearance of azimuthal waves in turbulent Taylor-Couette flow at large aspect ratio. Chemical Engineering Science 2005, 60(20):5555-5568.
46. Pivokonsky M., Pivokonsky R., Benesova L., Mutl S. Methodology of evaluation of size and size-distribution of particles formed during aggregation. Journal of Hydrology and Hydromechanics 2003, 51(4):281-287.
47. Jiang Q., Logan B.E. Fractal dimensions of aggregates determined from steady state size distributions. Environmental Science and Technology 1991, 36(4):2031-2038.
48. Gorczyca B., Ganczarczyk J. Structure and porosity of alum coagulation flocs. Water Quality Research Journal of Canada 1999, 34(4):653-666.
49. Rahmani N.H.G., Dabros T., Masliyah J.H. Fractal structure of asphaltene aggregates. Journal of Colloid and Interface Science 2005, 285(2):599-608.
50. Li D.H., Ganczarczyk J.J. Fractal geometry of particles aggregates generated in water and wastewater treatment process. Environmental Science and Technology 1989, 23(11):1385-1389.
51. Spicer P.T., Keller W., Pratsinis S.E. The effect of impeller type on floc size and structure during shear-induced flocculation. Journal of Colloid and Interface Science 1996, 184(1):112-122.
52. Meakin P. Fractals, Scaling and Growth far from Equilibrium 1998, Cambridge University Press, Cambridge, England.
53. Kusters K.A., Wijers J.G., Thoenes D. Aggregation kinetics of small particles in agitated vessels. Chemical Engineering Science 1997, 52(1):107-121.
54. Thomas D.N., Judd S.J., Fawcett N. Flocculation modelling: A review. Water Research 1999, 33(7):1579-1592.
55. Lee D.G., Bonner J.S., Garton L.S., Ernest A.N.S., Autenrieth R.L. Modeling coagulation kinetics incorporating fractal theories: a fractal rectilinear approach. Water Research 2000, 34(7):1987-2000.
56. Selomulya C., Bushell G.C., Amal R., Waite D. Aggregation mechanisms of latex of different particle sizes in a controlled shear environment. Langmuir 2002, 18(6):1974-1984.
57. Zhang J.J., Li X.Y. Modeling particle-size distribution dynamics in a flocculation system. AICHE Journal 2003, 49(7):1870-1882.
58. Sterling M.C., Bonner J.S., Ernest A.N.S., Page C.A., Autenrieth R.L. Application of fractal flocculation and vertical transport model to aquatic sol-sediment systems. Water Research 2005, 39(9):1818-1830.
59. Reich I., Vold R.D. Flocculation-deflocculation in agitated suspensions. Journal of Physical Chemistry 1959, 63(9):1479-1501.
60. Mühle K., Domasch K. Floc Strength in Bridging Flocculation. Chemical Water and Wastewater Treatment 1990, 105-115. Springer-Verlag, Berlin. H.H. Hahn, R. Klute (Eds.).
61. Maggi F., Mietta F., Winterwerp J.C. Effect of variable fractal dimension on the floc size distribution of suspended cohesive sediment. Journal of Hydrology 2007, 343(1-2):43-55.