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Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation

Received: 25 April 2014     Accepted: 3 June 2014     Published: 20 June 2014
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Abstract

In this paper we study the general characteristics of deposition of large particles (or aggregates) that result from the mutual aggregation of small and large fractions in bidisperse (or double fractional) suspension. We give equations of motion and change in mass of the large particle in the presence of inter-fractional coagulation process and effect of straitened sedimentation. In the limiting Stokes and Newton modes (relevant for small and large Reynolds numbers) we have movement formulas for speed of sedimentation and their analysis. Discuss some of the results of calculations obtained by numerical integration of the equations of motion of a large particle in suspension.

Published in American Journal of Chemical Engineering (Volume 2, Issue 2)
DOI 10.11648/j.ajche.20140202.12
Page(s) 14-20
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Suspension, Brownian Motion, Sedimentation, Coagulation

References
[1] T.R. Camp, Floc volume concentration, J. Amer. Water Works Assoc.60 (1962) № 6. P. 656.
[2] N.B. Uriev and A.A. Potanin, Fluidity of suspensions and powders, Moscou: Chemi-stry, 1992. (in Russian)
[3] L.V. Ravitchev, A.V. Bespalov and V.J. Loginov, Simulation of viscous properties of concentrated suspensions, Theoretical Found. of Chemical Engineering, 2008. V. 24. №3. P. 326.
[4] M.P. Volarovich and N.V. Churaev, Investigation of the degree of dispersion of peat, Proceedings of the Moscow Institute of peat, Moscow, 1955. Issue 3. P. 33. (in Rus-sian)
[5] B.M. Dolgonosov, The kinetics of coagulation-fragmentation and the equilibrium spectrum of aggregates in moving suspensions, Theoretical Found. of Chemical Engineering, 2001. V. 35. № 5. P. 465.
[6] V.A. Galkin, I.V. Galkin, D.Y. Osetsky, D.A. Rizhikov and A.V. Galkin, Ma-thematical modeling of sintering of powder materials and the growth of Aggregates, Proceedings of the regional competition of research projects in the field of natural sciences, Kaluga, 2007. Issue 11. P. 42. (in Russian)
[7] B.M. Dolgonosov, The kinetics of the coagulating sedimenta-tion suspension, Theoretical Found. of Chemical Engineering, 2005. V. 39. № 6. P. 673.
[8] B.I. Brounshteyn and V.V. Schogolev, Hydrodynamics, mass and heat transfer in the column appara-tuses, Moscou: Chemistry, 1980. (in Russian)
[9] J. Happel and H. Brenner, Hydrodynamics at low Reynolds numbers, Springer-Verlag, 1976.
[10] R.I. Nigmatulin, Fundamentals of mechan-ics of heterogeneous media, Moscow: Nauka, 1978. (in Russian)
[11] V.M. Voloshchuk and Y.S. Sedunov, Coagulation processes in disperse Systems, Leningrad: Gidrometeoizdat, 1975. (in Rus-sian)
[12] Theory and technology of flotation, Ed. Bogdanov O.S., Moscow: Nedra, 1990. (in Russian)
[13] R.H. Yoon and G.H. Luttrell, The effect of bubble size on fine particle flotation, Miner. Process. Extr. Metal. Rev. 1989. № 5. P. 101.
[14] G.K. Batchelor, Sedimentation in a dilute dispersion of spheres, J. Fluid Mech. 1972. V. 52. P. 245.
[15] A.M. Golovin and V. Chiz-hov, Calculation of the deposition rate of a homogeneous suspension, J. Appl. Math. and Me-chanics, 1978. V. 42. № 1. P.105.
[16] M. Mooney, The viscosity of concentrated suspensions of spherical particles, J. Coll. Sci. 1951. V. 6. №2. P. 162.
[17] T.L. Smith and C.A. Bruce, The viscosity of concentrated suspensions, J. Coll. Interface Sci. 1979. V. 72. № 1. P. 13.
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  • APA Style

    Tulegen Amanbaev. (2014). Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation. American Journal of Chemical Engineering, 2(2), 14-20. https://doi.org/10.11648/j.ajche.20140202.12

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    ACS Style

    Tulegen Amanbaev. Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation. Am. J. Chem. Eng. 2014, 2(2), 14-20. doi: 10.11648/j.ajche.20140202.12

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    AMA Style

    Tulegen Amanbaev. Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation. Am J Chem Eng. 2014;2(2):14-20. doi: 10.11648/j.ajche.20140202.12

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  • @article{10.11648/j.ajche.20140202.12,
      author = {Tulegen Amanbaev},
      title = {Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation},
      journal = {American Journal of Chemical Engineering},
      volume = {2},
      number = {2},
      pages = {14-20},
      doi = {10.11648/j.ajche.20140202.12},
      url = {https://doi.org/10.11648/j.ajche.20140202.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20140202.12},
      abstract = {In this paper we study the general characteristics of deposition of large particles (or aggregates) that result from the mutual aggregation of small and large fractions in bidisperse (or double fractional) suspension. We give equations of motion and change in mass of the large particle in the presence of inter-fractional coagulation process and effect of straitened sedimentation. In the limiting Stokes and Newton modes (relevant for small and large Reynolds numbers) we have movement formulas for speed of sedimentation and their analysis. Discuss some of the results of calculations obtained by numerical integration of the equations of motion of a large particle in suspension.},
     year = {2014}
    }
    

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  • TY  - JOUR
    T1  - Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation
    AU  - Tulegen Amanbaev
    Y1  - 2014/06/20
    PY  - 2014
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    T2  - American Journal of Chemical Engineering
    JF  - American Journal of Chemical Engineering
    JO  - American Journal of Chemical Engineering
    SP  - 14
    EP  - 20
    PB  - Science Publishing Group
    SN  - 2330-8613
    UR  - https://doi.org/10.11648/j.ajche.20140202.12
    AB  - In this paper we study the general characteristics of deposition of large particles (or aggregates) that result from the mutual aggregation of small and large fractions in bidisperse (or double fractional) suspension. We give equations of motion and change in mass of the large particle in the presence of inter-fractional coagulation process and effect of straitened sedimentation. In the limiting Stokes and Newton modes (relevant for small and large Reynolds numbers) we have movement formulas for speed of sedimentation and their analysis. Discuss some of the results of calculations obtained by numerical integration of the equations of motion of a large particle in suspension.
    VL  - 2
    IS  - 2
    ER  - 

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Author Information
  • South Kazakh State University, Shymkent, 5 Tauke Khanstr., 160012

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