Crystallization Kinetics

  • Narayan S. Tavare
Part of the The Springer Chemical Engineering Series book series (PCES)


The essence of effective characterization of crystallization kinetics and their successful application in crystallizer design and analysis resides in the recognition that all the kinetic events are rate processes. Although several kinetic events are identifiable in a crystallizer operation, crystallization kinetics in the literature are conventionally characterized in terms of two dominant rate processes occurring in a process of crystallization from solution, namely, crystal nucleation and growth. The terms rate and rate concept need careful definitions. At the outset it is necessary to emphasize the distinction between process rate and rate of change while establishing the kinetic correlations as has been suggested in the analysis of multiphase reactor systems (see, e.g., Bisio and Kabel, 1985). The process rate, as used in crystal nucleation or growth rate, is just a concept and is always important in process analysis. One does not measure process rate directly, but only arrives at its values by some combination of measurement and theory. The rate of change follows the dictionary definition as familiar from the calculus, has derivative character, and is subject to measurement.


Interfacial Tension Mass Transfer Coefficient Nucleation Rate Effectiveness Factor Bulk Diffusion 
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  1. Bisio, A. and Kabel, R. L., Scaleup of Chemical Processes, pp. 77–116, Wiley, New York (1985).Google Scholar
  2. Carberry, J. J. and Kulkarni, A. A., “The non-isothermal catalytic effectiveness factor for monolith supported catalyst,” J. Catalysis 31, 41–50 (1973).CrossRefGoogle Scholar
  3. Carosso, P. A. and Pelizzetti, E., “A stopped-flow technique in fast precipitation kinetics—the case of barium sulphate,” J Crystal Growth 68, 532–536 (1984).CrossRefGoogle Scholar
  4. Evans, T. W., Margolis, G. and Sarofim, A. F., “Models of secondary nucleation attributable to crystal-crystallizer and crystal-crystal collisions,” AIChEJ. 20, 959–965 (1974).CrossRefGoogle Scholar
  5. Garside, J., “The concept of effectiveness factors in crystal growth,” Chem. Eng. Sci. 26, 1425–1431 (1971).CrossRefGoogle Scholar
  6. Garside, J., “Industrial crystallization from solution,” Chem. Eng. Sci. 40, 3–26 (1985).CrossRefGoogle Scholar
  7. Garside, J. and Davey, R. J., “Secondary contact nucleation: Kinetics, growth and scale-up,” Chem. Eng. Commun. 4, 393–424(1980).CrossRefGoogle Scholar
  8. Garside, J., Mullin, J. W. and Das, S. N., “Growth and dissolution kinetics of potassium sulphate crystals in an agitated vessel,” Ind. Eng. Chem. Fundam. 13, 299–305 (1974).CrossRefGoogle Scholar
  9. Garside, J. and Tavare, N. S., “Non-isothermal effectiveness factors for crystal growth,” Chem. Eng. Sci. 36, 863–866(1981).CrossRefGoogle Scholar
  10. Gaska, C. and Mullin, J. W., “Growth and dissolution of potassium sulfate in a fluidized bed crystallizer,” Can, J. Chem. Eng. 47, 483–489 (1969).CrossRefGoogle Scholar
  11. Levins, D. M. and Glastonbury, J. R., “Particle-liquid hydrodynamics and mass transfer in a stirred vessel,” Trans I. Chem. E 50, 32–41 and 132-146 (1972).Google Scholar
  12. Mersmann, A., “Calculation of interfacial tensions,” J. Crystal Growth 102, 841–847 (1990).CrossRefGoogle Scholar
  13. Ness, J. N. and White, E. T., “Collision nucleation in an agitated crystallizer,” Chem. Eng. Prog. Symp. Ser. 755(72), 64–73 (1976).Google Scholar
  14. Nielsen, A. E., Kinetics of Precipitation, pp 1–40, Pergamon, Oxford (1964).Google Scholar
  15. Nielsen, A. E., in Crystal Growth, (H. S. Peiser, Ed.), Supplement to J. Phys. Chem. Solids 28, 419–426, Pergamon, Oxford (1967).Google Scholar
  16. Nielsen, A. E. and Söhnel, O., “Interfacial tensions, electrolyte crystal aqueous solution, from nucleation data,” J. Crystal Growth 11, 233–242 (1971).CrossRefGoogle Scholar
  17. Nienow, A. W., “Agitated vessel particle-liquid mass transfer: A comparison between theories and data,” Chem. Eng. J. 9, 153–160 (1975).CrossRefGoogle Scholar
  18. Palwe, B. G., Chivate, M. R. and Tavare, N. S., “Growth kinetics of ammonium nitrate crystals in a draft tube baffled agitated batch crystallizer,” Ind. Eng. Chem. Proc. Des. Develop. 24, 914–919(1985).CrossRefGoogle Scholar
  19. Rabih, A. M., Measurement of Sucrose Crystal Growth Kinetics from Viscous Solutions, M. Sc. thesis, University of Manchester (1988).Google Scholar
  20. Randolph, A. D. and Rajagopal, K., “Direct measurement of crystal nucleation and growth rate kinetics in a backmixed crystal slurry: Study of the potassium sulphate system,” Ind. Eng. Chem. Fundam. 9, 165–171 (1970).CrossRefGoogle Scholar
  21. Randolph, A. D. and Sikdar, S. K., “Effect of soft impeller coating on the net formation of secondary nuclei,” AIChE J. 20, 410–412 (1974).CrossRefGoogle Scholar
  22. Randolph, A. D., Beckman, J. R. and Kraljevich, Z. I., “Crystal size distribution dynamics in a classified crystallizer: Part I, Experimental and theoretical study of cycling in a potassium chloride crystallizer,”AIChE J. 23, 500–510 (1977).CrossRefGoogle Scholar
  23. Shah, B. C, McCabe, W. L. and Rousseau, R. W., “Polyethylene versus stainless steel impellers for crystallization processes,” AIChEJ., 19, 194(1973).CrossRefGoogle Scholar
  24. Söhnel, O. and Mullin, J. W., “A method for the determination of precipitation induction periods,” J. Crystal Growth 44, 377–382 (1978).CrossRefGoogle Scholar
  25. Tavare, N. S., Studies in Crystallization, Ph.D. (Tech) thesis, University of Bombay (1978).Google Scholar
  26. Tavare, N. S., “Interfacial temperature in crystallization of potassium sulphate,” Trans. I. Chem. E. 58, 285–286 (1980).Google Scholar
  27. Tavare, N. S. and Chivate, M. R., “Growth rate correlation for potassium sulphate crystals in a fluidised bed crystallizer,” Chem. Eng. Sci. 33, 1290–1292 (1978).CrossRefGoogle Scholar
  28. Tavare, N. S. and Chivate, M. R., “Growth and dissolution kinetics of potassium sulphatecrystals in a fluidised bed crystallizer,” Trans. I. Chem. E. 57, 35–42 (1979).Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Narayan S. Tavare
    • 1
  1. 1.University of Manchester Institute of Science and Technology (UMIST)ManchesterUK

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