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Monte Carlo studies of the coalescence and breakage characteristics of solid-liquid suspensions under shear

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  • Colloid Science
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Summary

A simple model for the breakage frequency of solid aggregates in a suspension under shear is developed based on the concept of “bound liquid”. This model is superior to the artificial models used by earlier workers. This is used along withSmoluchowski's expression for the coalescence frequency to simulate the aggregation-desaggregation behavior of suspensions using the Monte Carlo technique. The effect of initial particle size distribution, shear rate, viscosity of the medium, etc., are studied and are found to be in accord with intuitive expectations.

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References

  1. Ramkrisbna, D., J. D. Borwanker, B. H. Shah, Chem. Eng. Sci.31, 435 (l976).

    Google Scholar 

  2. Shah, B. H., Ph. D. Dissertation, Indian In- Institute of Technology, Kanpur, 1974.

  3. Amundsen, N. R., O. Bilous, K. J. Valentas, Ind. & Eng. Chem., Funda.5, 271 (1966).

    Google Scholar 

  4. Amundsen, N. R., K. J. Valentas, Ind. & Eng. Chem., Funda.5, 533 (1966).

    Google Scholar 

  5. Amundsen, N. R., K. J. Valentas, Ind. & Eng. Chem., Funda.7, 66 (1968).

    Google Scholar 

  6. Ramkrishna, D., G. Subramanian, Math. Biosci.10, 1 (1971).

    Google Scholar 

  7. Ramkrishna, D., P. N. Singh, J. Coll. & Interf. Sci.53, 214 (1975).

    Google Scholar 

  8. Ramkrishna, D., P. N. Singh, Comput. in Chem. Eng.1, 23 (1977).

    Google Scholar 

  9. Curl, R. L., A. I. Ch. E. J.,9, 175 (l963).

    Google Scholar 

  10. Fair, M. G., R. S. Gemmell, J. Coll. Sci.19, 360 (l964).

    Google Scholar 

  11. Spielman, L. A., O. Levenspiel, Chem. Eng. Sci.20, 247 (1965).

    Google Scholar 

  12. Rao, D. P., I. J. Dunn, Chem. Eng. Sci.25, 1275 (1970).

    Google Scholar 

  13. Zeitlin, M. A., L. Tavlarides, A. I. Ch. E. J.18 1268 (1972).

    Google Scholar 

  14. Metzner, A. B., M. Vbitlock, Trans. Soc. Rheol.2, 239 (1958).

    Google Scholar 

  15. Landel, R. F., L. Nicolais, L. Nicodemo, Chem. Eng. Sci.29, 729 (l974).

    Google Scholar 

  16. Hofman, R. L., Trans. Soc. Rheol.16, 155 (1972).

    Google Scholar 

  17. Smolucbowski, M., Physik. Z.17, 557, 583 (1916).

    Google Scholar 

  18. Smolucbowski, M., Z. Physik. Chem.92, 129, 155 (1917).

    Google Scholar 

  19. Swift, D. L., S. K. Friedlander, J. Coll. Sci.19, 621 (1964).

    Google Scholar 

  20. Fang, C. S., S. K. Friedlander, J. Coll. & Interf. Sci.24, 170 (1967).

    Google Scholar 

  21. Manley, R. St. J., S. G. Mason, J. Coll. Sci.7, 354 (1952).

    Google Scholar 

  22. Manley, R. St. J., S. G. Mason, Can. J. Chem.33, 763 (1955).

    Google Scholar 

  23. Fischer, E. K., Colloidal Dispersions, Ist. ed., Wiley, New York, N. Y., 1950, pp. 119, 194.

    Google Scholar 

  24. Bartok, W., S. G. Mason, J. Coll. Sci.12, 243 (1957).

    Google Scholar 

  25. Bartok, W., S. G. Mason, J. Coll. Sci.14, 13 (1959).

    Google Scholar 

  26. Allan, R. S., S. G. Mason, J. Coll. Sci.17, 383 (l962).

    Google Scholar 

  27. Pandey, B. P., Ph. D. Dissertation, Indian Institute of Technology, Kanpur, 1977.

  28. Bajpai, R. K., D. Ramkrisbna, A. Prokop, Chem. Eng. Sci.31, 913 (1976).

    Google Scholar 

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Gupta, S.K., Saraf, D.N. & Pandey, B.P. Monte Carlo studies of the coalescence and breakage characteristics of solid-liquid suspensions under shear. Colloid & Polymer Sci 257, 663–669 (1979). https://doi.org/10.1007/BF01548836

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  • DOI: https://doi.org/10.1007/BF01548836

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