THEORETICAL STUDY OF GRANULATION KINETICS IN A BATCH FLUIDIZED BED

  • Andrey V. Mitrofanov Ivanovo State Power Engineering University
  • Vadim E. Mizonov Ivanovo State Power Engineering University
  • Katia Tannous University of Campinas
  • Lev N. Ovchinnikov Ivanovo State University of Chemistry and Technology
Keywords: fluidized bed, granulation, Markov chain, state vector, binder suspension, particles enlargement, kinetics

Abstract

The objective of the study is to build a simple but informative model to estimate qualitatively the influence of process parameters on granulation kinetics in a batch fluidized bed. A Markov chain approach is used to build the model. The height of fluidized bed reactor is separated into a certain number of perfectly mixed cells, and two parallel chains of such cells are introduced: one chain for original particles and another chain for already granulated particles. The particles can move stochastically along their chains and transit from one chain to another due to their size enlargement during granulation. It is supposed that the granulation itself occurs only in the cell of original particles where a binder suspension is supplied to. The volume of suspension, which enters the cell during the time step, is spread over the original particles that can be covered by the suspension up to their desired size. These particles transit to the neighboring cell of another chain for already granulated particles. Then the both sorts of particles move along their chains according to corresponding matrices of transition probabilities. This “could” model can be easily combined with the Markov chain model of drying in fluidized bed developed in our previous works. The numerical experiments with the developed model allowed qualitative estimating the influence of the process parameters on the granulation kinetics. The existence of the optimum superficial gas velocity that provides the maximum rate of granulation is shown.

For citation:

Mitrofanov A.V., Mizonov V.E., Tannous K., Ovchinnikov L.N. Theoretical study of granulation kinetics in a batch fluidized bed. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2017. V. 60. N 5. P. 81-87

Author Biography

Katia Tannous, University of Campinas
Chemical Engineering School

References

Handbook of Powder Technology. Vol. 11. Granulation. Ed. by A.D. Salman, M.J. Hounslow and J. P. K. Seville. Elsevier B.V. NY., 2010. 1402 p.

Hede P.D. Advanced granulation theory at particle level. BookBoon. UK. L., 2006. 62 p.

Handbook of pharmaceutical granulation technology. Ed. by Dilip M. Parikh. 3rd ed. Informa Healthcare USA, Inc., New York., 2010. 659 p.

Kwauk M. Fluidization. Idealized and bubbleless, with applications. Beijing: Science Press, 1992. 277 p.

Hu X., Cunningham J.C., Winstead D. Study growth kinetics in fluidized bed granulation with at-line FBRM. International Journal of Pharmaceutics. V. 347. 2008. P. 54–61.

Catak M., Bas N., Cronin K., Tellez-Medina D., Byrne E.P., Fitzpatrick J.J. Markov chain modelling of fluidised bed gran-ulation. Chem. Engin. J. 2010. V. 164. P. 403–409.

van der Hoef M.A., van Sint Annaland M., Deen N.G., Kuipers J.A.M. Numerical simulation of dense gas-solid fluidized beds: A Multiscale modeling strategy. Annu. Rev. Fluid Mech. 2008. N. 40. P. 47–70.

Goldschmidt M.J.V., Kuipers J.A.M., Van Swaaij W.P.N. Hydrodynamic modeling of dense gas-fluidized beds using the kinetic theory of granular flow: Effect of coefficient of restitution on bed dynamics. Chem. Eng. Sci. 2001. N. 56. P. 571-578.

Duarte C.R., Olazar M., Murata V.V., Barrozo M.A.S. Numerical simulation and experimental study of fluid-particle flows in a spouted bed. Powd. tech. 2009. V. 188. N 3. P. 195-205.

Berthiaux H., Mizonov V. Applications of Markov Chains in Particulate Process Engineering: A Review. Canadian J. Chem. Engin. V. 85. N 6. 2004. P. 1143-1168.

Dehling H.G., Hoffmann A.C., Stuut H.W. Stochastic models for transport in a fluidised bed. SIAM J. Appl. Math. 1999. V. 60. P. 337–358.

Mizonov V., Mitrofanov, A., Ogurtzov, A., Tannous, K. Modeling of particle concentration distribution in a fluidized bed by means of the theory of Markov chains. Part. Sci. Technol. 2014. V. 32. N. 2. P.171-178.

Mitrofanov A.V. Mizonov V.E., Tannous K. A mathematical model of fluidized bed state evolution at moisture transfer. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2015. V. 58. N 4. P. 75-78 (in Russian).

Mitrofanov A.V., Mizonov V.E., Tannous K. Markov chain model of particulate solids batch drying in a conical fluidized bed. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2016. V. 59. N 12. P. 93-99.

Published
2017-06-23
How to Cite
Mitrofanov, A. V., Mizonov, V. E., Tannous, K., & Ovchinnikov, L. N. (2017). THEORETICAL STUDY OF GRANULATION KINETICS IN A BATCH FLUIDIZED BED. ChemChemTech, 60(5), 81-87. https://doi.org/10.6060/tcct.2017605.5611
Section
CHEMICAL TECHNOLOGY (inorganic and organic substances. Theoretical fundamentals)

Most read articles by the same author(s)