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The Scientific World Journal
Volume 2014 (2014), Article ID 615236, 10 pages
Research Article

Model of Close Packing for Determination of the Major Characteristics of the Liquid Dispersions Components

1Department of Mathematics and Informatics, Plovdiv University “Paisii Hilendarski,” 24 Tsar Assen Street, 4000 Plovdiv, Bulgaria
2Department of Physics, University of Food Technologies, 26 Maritsa Boulevard, 4000 Plovdiv, Bulgaria
3Department of Physics, Plovdiv University “Paisii Hilendarski,” 24 Tsar Assen Street, 4000 Plovdiv, Bulgaria

Received 6 February 2014; Accepted 27 June 2014; Published 17 July 2014

Academic Editor: Khashayar Ghandi

Copyright © 2014 Kiril Hristov Kolikov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce a close packing model of the particles from the disperse phase of a liquid dispersion. With this model, we find the sediment volumes, the emergent, and the bound dispersion medium. We formulate a new approach for determining the equivalent radii of the particles from the sediment and the emergent (different from the Stokes method). We also describe an easy manner to apply algebraic method for determining the average volumetric mass densities of the ultimate sediment and emergent, as well as the free dispersion medium (without using any pycnometers or densitometers). The masses of the different components and the density of the dispersion phase in the investigated liquid dispersion are also determined by means of the established densities. We introduce for the first time a dimensionless scale for numeric characterization and therefore an index for predicting the sedimentation stability of liquid dispersions in case of straight and/or reverse sedimentation. We also find the quantity of the pure substance (without pouring out or drying) in the dispersion phase of the liquid dispersions.