Abstract
Models for the sedimentation of particles suspended in solution are proposed that take into account mass transfer between the liquid fraction of the solution and the particles. The structure and velocity of the concentration wave describing the upward extension of the zone with a high concentration of the solid phase are studied using a kinematic model with the Froude number as a small parameter. It is established that the concentration-wave velocity becomes lower if the sorption parameter is set equal to zero, i. e., if the sorption properties of the suspended particles are ignored.
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REFERENCES
E. D. Shchukin, A. V. Pertsov, and E. A. Amelina, Colloidal Chemistry [in Russian], Vysshaya Shkola, Moscow (1992).
G. F. Kynch, “A theory of sedimentation,” Trans. Faraday Soc., 48, 166–176 (1952).
M. Bustos, F. Concha, R. Burger, and E. Tory, “Sedimentation and thickening. Phenomenological foundation and mathematical theory,” in: Mathematical Modeling: Theory and Applications, Kluwer Acad. Publ., Dordrecht (1999).
R. I. Nigmatulin, Dynamics of Multiphase Media, Part 2, Hemisphere, New York (1991).
A. A. Barmin and V. I. Gargash, “On the filtration of a solution in a porous bed taking into account impurity adsorption by the skeleton,” Izv. Ross. Akad. Nauk, Mekh Zhidk. Gaza, No. 4, 97–110 (1994).
V. M. Entov and A. F. Zazovskii, Hydrodynamics of Enhanced Oil Recovery Processes [in Russian], Nedra, Moscow (1989).
G. Witham, Linear and Nonlinear Waves, Wiley, New York (1974).
E. Godlevski and P. A. Raviart, Hyperbolic Systems of Conservation Laws. Mathematiques and Applications, SMAI-Ellipses, Paris (1991).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 4, pp. 66–77, July–August, 2005.
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Shelukhin, V.V. Quasistationary Sedimentation with Adsorption. J Appl Mech Tech Phys 46, 513–522 (2005). https://doi.org/10.1007/s10808-005-0103-8
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DOI: https://doi.org/10.1007/s10808-005-0103-8