Experimental characterization of the chaotic dynamics of cohesionless particles: Application to a V-blender

Granular Matter

Volumn 10, Issue 2, 2008, Pages 133-138

  Doucet, J ^a   Bertrand, F ^a   Chaouki, J ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Chaos; Dynamical systems; Granular mixing; Radioactive particle tracking

Indexed keywords

GRANULAR MIXING; RADIOACTIVE PARTICLE TRACKING;

CHAOS THEORY; DYNAMICAL SYSTEMS; MIXING;

GRANULAR MATERIALS;

EID: 37449024670     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-007-0075-x     Document Type: Article

References (24)

1. Alexander A., Muzzio F.J. and Shinbrot T. (2003). Segregation patterns in V-blenders. Chem. Eng. Sci. 58: 487-496
2. Alexander A., Shinbrot T., Johnson B. and Muzzio F.J. (2005). V-blender segregation patterns for free-flowing materials: effects of blender capacity and fill level. Int. J. Pharm. 269: 19-28
3. Brone D., Alexander A. and Muzzio F.J. (1998). Quantitative characterization of mixing of dry powders in V-blenders. AIChE J. 44: 271-278
4. Cassanello M., Larachi F., Marie M.N., Guy C. and Chaouki J. (1995). Experimental characterization of the solid phase chaotic dynamics in three-phase fluidization. Ind. Eng. Chem. Res. 34(9): 2971-2980
5. Cassanello M., Larachi F., Legros R. and Chaouki J. (1999). Solids dynamics from experimental trajectory time-series of a single particle motion in gas-spouted beds. Chem. Eng. Sci. 54(13-14): 2545-2554
6. Devaney R.L. (1988). An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Reading
7. Doucet, J., Chaouki, J., Bertrand, F.: An extended radioactive particle tracking method for systems with irregular moving boundaries. Powder Technol. (2007). doi: 10.1016/j.powtec.2006.12.019
8. Eckmann J.P. and Ruelle D. (1985). Ergodic theory of chaos and strange attractors. Rev. Modern Phys. 57: 617-656
9. Farmer J.D., Ott E. and Yorke J.A. (1983). The dimension of chaotic attractors. Phys. D 7: 153-180
10. Grassberger P. and Procaccia I. (1983). Characterization of strange attractors. Phys. Rev. Lett. 50: 346-349
11. Grassberger P. and Procaccia I. (1983). Estimation of the Kolmogorov entropy from chaotic signal. Phys. Rev. A 28: 2591-2593
12. Khakhar D.V., McCarthy J.J., Gilchrist J.F. and Ottino J.M. (1999). Chaotic mixing of granular materials in 2D tumbling mixers. Chaos 9: 193-205
13. Kuo H.P., Knight P.C., Parker D.J. and Seville J.P.K. (2005). Solids circulation and axial dispersion of cohesionless particles in a v-mixer. Powder Technol. 152: 133-140
14. Larachi, F., Kennedy, G., Chaouki, J.: Gamma-ray detection system for 3-d particle tracking in multiphase reactors. Nucl. Instrum. Methods Phys. Res. A A338(2-3), 568-576 (1994). http://dx.doi.org/10.1016/0168-9002(94)91343-9
15. Lemieux, M., Leonard, G., Doucet, J., Leclaire, L.A., Bertrand, F., Chaouki, J.: Large scale numerical investigation of granular mixing in a V-blender using a discrete element method. Powder Technol. (2007). doi: 10.1016/j.powtec.2006.12.007
16. Moakher M., Shinbrot T. and Muzzio F.J. (2000). Experimentally validated computations of flow, mixing and segregation of non cohesive grains in 3D tumbling blenders. Powder Technol. 109: 58-71
17. Muzzio F.J., Goodridge C.L., Alexander A., Arratia P., Yang H., Sudah O. and Mergen G. (2003). Sampling and characterization of pharmaceutical powders and granular blends. Int. J. Pharm. 250: 51-64
18. Ottino J.M. (1989). The kinematics of mixing: stretching, chaos and transport. Cambridge University Press, New York
19. Ottino J.M. and Khakhar D.V. (2001). Fundamental research in heaping, mixing and segregation of granular materials: challenges and perspectives. Powder Technol. 121: 117-122
20. Rosenstein M.T., Collins J.J. and DeLuca C. (1993). A practical method for calculating largest Lyapunov exponents from small data sets. Phys. D 65: 117-134
21. Sherritt R.G., Chaouki J., Mehrotra A.K. and Behie L.A. (2003). Axial dispersion in the three-dimensional mixing of particles in a rotating drum reactor. Chem. Eng. Sci. 58(2): 401-415
22. Sprott J.C. (2003). Chaos and Time-Series Analysis. Oxford University Press, New York
23. Sundaresan S., Eaton J., Koch D.L. and Ottinio J.M. (2003). Appendix 2: report of study group on disperse flow. Int. J. Multiph. Flow 29: 1069-1087
24. Takens F. (1981). Lecture Notes in Mathematics, vol. 898. Springer, Heidelberg