Entropy criterion of random states for granular material in a mixing process
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Mathematical assessment of homogenisation progress of the granular material mixing process is presented. The mixing process was realised using a vessel in the form of two partly penetrating horizontal cylinders equipped with two multi-ribbon agitators. The experimental system consisted of three sets of particles of different colour. Random states of the mixed granular material were characterised by the sampling procedure at different moments of the mixing process. Informational entropy as well as the flow of quantum of information were applied to describe the progress of the homogenisation process. Analysis of this process was based on experimental investigations in the form of informational entropy patterns and described by means of the average informational entropy or the quantum of information.
Keywordsgranular material multi-ribbon agitator informational characteristics
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- Austin, L. G. (1995). The graphical representation of ash liberation in milled coal. Chemical Engineering Journal, 59, 23–31. DOI: 10.1016/0923-0467(95)03009-3.Google Scholar
- Gardner, R. P., & Austin, L. G. (1962). A chemical engineering treatment of batch grinding. In H. Rumpf and D. Behrens (Eds.), Proceedings of the 1st European Symposium on Size Reduction (pp. 217–248). Düsseldorf: Verlag Chemie.Google Scholar
- Henrique, C., Batrouni, G., & Bideau, D. (2001). Diffusion as a mixing mechanism in granular materials. Physical Review E, 63, 011304. DOI: 10.1103/PhysRevE.63.011304.Google Scholar
- Hoyer, D. I. (1995). Batch grinding simulation — population balance models and self-similar size distributions. Materials Engineering, 8, 1275–1284. DOI: 10.1016/0892-6875(95)00095-8.Google Scholar
- Makarow, J. I. (1975). Foundations of calculations of powder material blending, Doctor’s Thesis, Moscow: MIKhM.Google Scholar
- Masiuk, S., & Rakoczy, R. (2006). The entropy criterion for the homogenisation process in a multi-ribbon blender. Chemical Engineering and Processing: Process Intensification, 45, 500–506. DOI: 10.1016/j.cep.2005.11.008.Google Scholar
- Masiuk, S., & Rakoczy, R. (2008). Kinetic equation of grinding process in mixing of granular material using probability density functions, transient operators and informational entropy. Chemical Engineering and Processing, 47, 200–208. DOI: 10.1016/j.cep.2007.03.001.Google Scholar
- Ogawa, K., & Inoue, I. (1984). A new definition of quality of mixedness for multicomponents batch mixing. In Proceedings of 8th International Congress CHISA’84, 3–7 September 1984 (Pap. V3.56), Prague: CHISA.Google Scholar
- Ramkrishna, D. (2000). Population balances. Theory and applications to particulate system in engineering, San Diego: Academic Press.Google Scholar
- Randolph, A. D., & Larson, M. A. (1988). Theory of particulate processes. New York: Academic Press, New York.Google Scholar
- Valery, W., & Morrell, S. (1995). The development of a dynamic model for autogenous and semi-autogenous grinding. Materials Engineering, 8, 1285–1297. DOI: 10.1016/0892-6875(95)00096-9.Google Scholar