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Analysis and Prediction of Cluster Formation

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Trends in Colloid and Interface Science XXIV

Part of the book series: Progress in Colloid and Polymer Science ((PROGCOLLOID,volume 138))

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Abstract

An experimental and theoretical analysis of the interaction of titanium dioxide particles during coagulation was performed, using laser light dynamic scattering (LDS) and both von Smoluchowski and reversible coagulation approaches. For cluster formation, different initial particle numbers and different shear rates were investigated and the experimental data were fitted to a mathematical model based on aggregation and disaggregation processes. The primary particle size was less than 1 micrometre, but in all cases the LDS information showed that primary clusters of 3.5 micrometres were rapidly formed, which then went on to cluster further to provide larger aggregates. Hence, the modelling approach was one of cluster-cluster aggregation and disaggregation, rather than primary particle aggregation.

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References

  1. G. J. Kynch, A theory of sedimentation, Trans. Faraday Soc ., 48 (1952), 166 – 176.

    Article  CAS  Google Scholar 

  2. J. C. Berg, An introduction to interfaces & colloids The bridge to nanoscience, World Scientific, Singapore, 2010.

    Google Scholar 

  3. W. Pietsch, Agglomeration in Industry: Occurrence and Application Volume1-2, WILEY-VCH, Germany, 2005.

    Google Scholar 

  4. M. Von Smoluchowski, Versuch einer mathematischen Theorie der Koagulationskinetik kolloidaler Lösungen, Ztsch. Phys. Chem., 92 (1917), 129–168.

    Google Scholar 

  5. V. Starov, V. Zhadanov, N. M. Kovalchuk, Kinetic models of micelles formation, Colloids and Surfaces A: Physicochem. Eng. Aspects 354 (2010), 268 – 278.

    Article  CAS  Google Scholar 

  6. A. Rushton, A. S. Ward and R. G. Holdich, Solid-Liquid Filtration and Separation Technology, VCH, Germany, 1996.

    Book  Google Scholar 

  7. G. Frens and J. T. Overbeek, Repeptization and the theory of electrocratic colloids, Journal of Colloid and Interface Science, 38 (1972), 376 – 387.

    Article  CAS  Google Scholar 

  8. N. Kovalchuk, V. Starov, P. Langston and N. Hilal, Formation of stable clusters in colloidal suspensions, Advances in Colloid and Interface Science, 147 – 148 (2009), 144 – 154.

    Article  Google Scholar 

  9. S. Biggs, Aggregate Structures and Solid-Liquid Separation Processes, KONA, 24 (2006), 41 – 53.

    CAS  Google Scholar 

  10. L. Xie, C. D. Rielly and G. Őzcan-Taşkin, Break-Up of Nanoparticles Agglomerates by Hydrodynamically Limited Processes, Journal of Dispersion Science and Technology, 29 (2008), 573–579.

    Article  Google Scholar 

  11. M. M. Clark and J. R. V. Flora, Floc restructuring in varied turbulent mixing, Journal of Colloid and Interface Science, 147 No 2 (1991), 407 – 421.

    Google Scholar 

  12. P.G. Saffman and J.S. Turner, On the collision of drops in turbulent clouds, Journal of Fluid Mechanics 1 (1956), 16–30.

    Article  Google Scholar 

  13. J. Ke, X. Cai and Z. Lin, Reversible aggregation processes with time-dependent rate kernels, Physics Letters A, 331 (2004), 281–287.

    Article  CAS  Google Scholar 

  14. H. S. Harris, W.J. Kaufman, R. B. Krone, Orthokinetic Flocculation in Water Purification, J. San. Eng. Div. ASCE, 92 (1966), 95.

    CAS  Google Scholar 

  15. T. Serra and X. Casamitjana, Modelling the aggregation and break-up of fractal aggregates in shear flow, Applied Scientific Research, 59 (1998), 255–268.

    Article  Google Scholar 

  16. M. G. Rasteiro, F. A. P. Garcia, P. Ferreira, A. Blanc, C. Negro, E. Antunes, The use of LSD as a tool to evaluate flocculation mechanisms, Chemical Engineering and Processing, 47 (2008), 1323–1332.

    Article  Google Scholar 

  17. M. Elimelech, J. Gregory, X. Jia and R. Williams, Particle deposition & aggregation: measuring, modelling and simulation, Butterworth-Heinemann Ltd (1995).

    Google Scholar 

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Acknowledgements

The authors wish to acknowledge the financial support of the UK Engineering and Physical Sciences Research Council. The work was undertaken as part of the DIAMOND project into Decommissioning, Immobilisation And Management Of Nuclear wastes for Disposal.

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Authors and Affiliations

  1. Department of Chemical Engineering, Loughborough University, Loughborough, LE11 3TU, UK

    R. G. Holdich

Authors
  1. B. A. Di Giovanni
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  2. R. G. Holdich
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  3. V. M. Starov
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Corresponding author

Correspondence to R. G. Holdich .

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Editors and Affiliations

  1. , Chemical Engineering, Loughborough University, Leicestershire, LE11 3TU, Montserrat

    Victor Starov

  2. Faculty of Science, Department of Physical and Macromolecula, Charles University in Praha, Hlavova 8, Praha, 12843, Czech Republic

    Karel Procházka

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© 2011 Springer-Verlag Berlin Heidelberg

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Di Giovanni, B.A., Holdich, R.G., Starov, V.M. (2011). Analysis and Prediction of Cluster Formation. In: Starov, V., Procházka, K. (eds) Trends in Colloid and Interface Science XXIV. Progress in Colloid and Polymer Science, vol 138. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19038-4_13

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