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

Tulegen Amanbaev

doi:doi:10.11648/j.ajche.20140202.12

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

Tulegen Amanbaev

Published in American Journal of Chemical Engineering (Volume 2, Issue 2)

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), 2024. Published by Science Publishing Group

Keywords

Suspension, Brownian Motion, Sedimentation, Coagulation

References

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[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
N1  - https://doi.org/10.11648/j.ajche.20140202.12
DO  - 10.11648/j.ajche.20140202.12
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

Tulegen Amanbaev

South Kazakh State University, Shymkent, 5 Tauke Khanstr., 160012; Institute of Mathematics and Mathematical Modeling, Almaty, 125 Pushkinstr, Kazakhstan

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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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation
AU  - Tulegen Amanbaev
Y1  - 2014/06/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajche.20140202.12
DO  - 10.11648/j.ajche.20140202.12
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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