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USAGE OF FRACTAL GEOMETRY TO DESCRIBE PARTICLE SIZE DISTRIBUTION OF GRAINY AND NON-GRAINY SUSPENSIONS
Abstract
Fractal geometry in recent years became an useful tool used in many scientific fields. One of the directions of development of that tool was also an attempt as using it for describing the morphology and granulometry of solid phase contained in various suspensions. The solid phase can come from different sources, such as municipal process (e.g. water treatment) or industrial process (e.g. metallurgy/steel industry or mineral processing). Suspensions on which one can come across in industry tend to be grainy and the process of solid phase separation of that kind of suspensions is relatively well described. Different situation is represented by non-grainy suspensions whose sedimentation process is not well modelled with current models used for grainy suspensions. By using fractal geometry, specific properties of solid particles, such as shape, porosity and permeability of non-grainy conglomerates can be taken into consideration, thus fractal geometry could link the two radically different suspensions and ensure one mathematical model suitable for both. The aim of this work is to present differences between descriptions of grainy suspensions and non-grainy suspensions.
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W. P. Kowalski, “Lamella sedimentation – the state of art and directions of development,” Inż. Chem. Proces., vol. 25, no. 3, pp. 1163–1170, 2004.
B. Hilger, M. Banaś, E. Wisła - Walsh, and P. Warzecha, “Purification efficiency for selected bentonites in laboratory settling tank,” in Water resources forest, marine and ocean ecosystems, Conference proceedings, SGEM 2016, Vienna, Austria, 2016, vol. 3, pp. 227–234.
F. Maggi, “Experimental evidence of how the fractal structure controls the hydrodynamic resistance on granular aggregates moving through water,” J. Hydrol., vol. 528, pp. 694–702, Sep. 2015.
M. Banaś, T. Turlej, E. Wisła - Walsh, and B. Hilger, “The identification of selected properties of clay suspensions potentially used as source for water treatment plants,” in Ecology, economics, education and legislation, Conference proceedings,SGEM 2015, Albena, Bulgaria, 2015, vol. 1, pp. 891–897.
G.C. Bushell, Y.D. Yan, D. Woodfield, J. Raper, and R. Amal, “On techniques for the measurement of the mass fractal dimension of aggregates,” Adv. Colloid Interface Sci., vol. 95, pp. 1–50, 2002.
E. Gregorová, W. Pabst, and J.-B. Bouchet, “Influence of particle shape on the viscosity of kaolin suspensions,” Acta Geodyn Geomater, vol. 6, pp. 101–109, 2009.
W. Pabst and E. Gregorová, Characterization of particles and particle systems, ICT. Prague, 2007.
P. Jarvis, B. Jefferson, and S. A. Parsons, “Measuring Floc Structural Characteristics,” Rev. Environ. Sci. Biotechnol., vol. 4, no. 1–2, pp. 1–18, May 2005.
J. M. Li, L. Lü, M. O. Lai, and B. Ralph, Image-Based Fractal Description of Microstructures. Springer US, 2013.
K. Falconer, Fractal Geometry: Mathematical Foundation and Applications, 2003rd ed. John Wiley & Sons, Ltd. Chichester.
J. Gregory, “Monitoring particle aggregation processes,” Adv. Colloid Interface Sci., vol. 147–148, pp. 109–123, Mar. 2009.
K. Kołodziejczyk, “Numerical simulations of polydispersed suspension sedimentation in ANSYS CFX,” Pol. J. Environ. Stud., vol. 23, no. 3, pp. 1003–1008, 2014.
K. Kołodziejczyk, “Numerical simulation of coal suspension sedimentation,” Arch. Min. Sci., vol. 61, no. 1, pp. 59–68, 2016.
K. Kołodziejczyk, “Numerical simulation of polydispersed suspension sedimentation under flow condition,” Przem. Chem., vol. 95, no. 8, pp. 1488–1491, 2016.
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