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Shannon, M.A., Bohn, P.W., Elimelech, M., Georgiadis, J.G., Marinas, B.J. & Mayes, A.M., Science and technology for water purification in the coming decades. Nature, 452, pp. 301–310, 2008.
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Tzoupanos, N.D. & Zouboulis, A.J., Coagulation-flocculation processes in water/waste water treatment: The application of new generation of chemical reagents, 6th IASME/ WSEAS International Conference on HEAT TRANSFER, THERMAL ENGINEERING and ENVIRONMENT (HTE’08) Rhodes, Greece, August 20–22, 2008.
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Zastawny, M., Mallouppas, G., Zhao, F. & van Wachem, B., Derivation of drag and lift force and torque coefficients for non-spherical particles in flows. International Jour- nal of Multiphase Flow, 39, pp. 227–239, 2012. flow.2011.09.004 [Crossref]
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Hölzer, A. & Sommerfeld, M., New simple correlation formula for the drag coefficient of non-spherical particles. Powder Technology, 184(3), pp. 361–365, 2008. https://doi. org/10.1016/j.powtec.2007.08.021
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Open Access
Research article

Modeling of the Sedimentation Process of Monodisperse Suspension

Rząsa Mariusz1,
Łukasiewicz Ewelina2
1
Department of Computer Science, Opole University of Technology, Opole, Poland
2
Department of Thermal Engineering and Industrial Facilities, Opole University of Technology, Opole, Poland
International Journal of Computational Methods and Experimental Measurements
|
Volume 10, Issue 1, 2022
|
Pages 50-61
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
View Full Article|Download PDF

Abstract:

During coagulation, particles with a flocculent shape and an irregular structure are formed in water. In the model sedimentation water presented in this study, three fractions of particles were distinguished and the method of calculating the sedimentation rate presented. Each fraction sediments in a different way due to different forces acting on particles of different shapes. The particles of fraction I are similar in shape to spherical particles, the particles of fraction II are non-spherical particles, and the particles of fraction III are porous agglomerates, for which the formula for liquid flow through a porous bed has been adopted. For the proposed theoretical sinking model for three types of suspensions composed of particles of each fraction, experimental tests were carried out, which confirmed the model predictions. The results for the sedimentation velocity of the monodisperse suspension of fractions I, II, and III are very similar to predictions: for fraction I, the discrepancy between theoretical and experimental results was 9%; for fraction II, 11%; and for fraction III, 17%. This proves a correctly selected methodology, and the proposed model can be used to calculate the sedimentation velocity of monodisperse suspen- sions of various shapes.

Keywords: Flocculation, Monodisperse suspension, Sedimentation modeling

1. Introduction

2. The Sedimentation Process of Monodisperse Suspensions

3. Free-Fall Models

4. Comparison of Model and Experimental Results

5. Conclusions

References
1.
Podgórni, E. & Rząsa, R.M., Investigation of the effects of salinity and temperature on the removal of iron from water by aeration, filtration and coagulation. Polish Jour- nal of Environmental Studies, 23(6), pp. 2157–2161, 2014. https://doi.org/10.15244/ pjoes/24927
2.
Shannon, M.A., Bohn, P.W., Elimelech, M., Georgiadis, J.G., Marinas, B.J. & Mayes, A.M., Science and technology for water purification in the coming decades. Nature, 452, pp. 301–310, 2008.
3.
Tzoupanos, N.D. & Zouboulis, A.J., Coagulation-flocculation processes in water/waste water treatment: The application of new generation of chemical reagents, 6th IASME/ WSEAS International Conference on HEAT TRANSFER, THERMAL ENGINEERING and ENVIRONMENT (HTE’08) Rhodes, Greece, August 20–22, 2008.
4.
Rosendahl, L., Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow. Applied Mathematical Modelling, 24(1), pp. 11–25, 2000. [Crossref]
5.
Sümer, M., Helvaci, P. & Helvaci Ş.Ş., Solid-Liquid Two Phase Flow, Elsevier, 2008.
6.
Sharma, M., Gupta, M. & Katy, P., A review on viscosity of nanofluids. International Journal of Management, Technology And Engineering, 8(9), pp. 1413–1425, 2018.
7.
Barnea, E. & Mizrahi, J., A generalized approach to the fluid dynamics of particulate systems. Part I. General correlation for fluidization and sedimentation in solid multipar- ticle systems. The Chemical Engineering Journal, 5(2), pp. 171–189, 1973. https://doi. org/10.1016/0300-9467(73)80008-5
8.
Hashin, Z. & Shtrikman, S., A variational approach to the theory of the elastic behav- iour of multiphase. Journal of the Mechanics and Physics of Solids, 11(2), pp. 127–140, 1963. [Crossref]
9.
Happel, J. & Epstein, N., Viscous flow in multiparticle systems: cubical assemblage of uniform spheres. Industrial & Engineering Chemistry, 46, pp. 1187–1194, 1954.
10.
Kelbaliyev, G. & Ceylan, K., Development of new empirical equations for estimation of drag coefficient, shape deformation, and rising velocity of gas bubbles or liquid drops. Chemical Engineering Communications, 194, pp. 1623–1637, 2007. https://doi. org/10.1080/00986440701446128
11.
Rosendahl, L., Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow. Applied Mathematical Modelling, 24(1), pp. 11–25, 2000. [Crossref]
12.
Zastawny, M., Mallouppas, G., Zhao, F. & van Wachem, B., Derivation of drag and lift force and torque coefficients for non-spherical particles in flows. International Jour- nal of Multiphase Flow, 39, pp. 227–239, 2012. flow.2011.09.004 [Crossref]
13.
Hölzer, A. & Sommerfeld, M., New simple correlation formula for the drag coefficient of non-spherical particles. Powder Technology, 184(3), pp. 361–365, 2008. https://doi. org/10.1016/j.powtec.2007.08.021
14.
Maron, S.H. & Pierce, P.E., Application of Ree-Eyring generalized flow theory to sus- pensions of spherical particles. Journal of Colloid Science, 11(1), pp. 80–90, 1956. [Crossref]
15.
Sanjeevi, S.K.P., Kuipers, J.A.M. & Padding, J.T., Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers. International Journal of Multiphase Flow, 106, pp. 325–337, 2018. phaseflow.2018.05.011 [Crossref]
16.
Leva, M., Weintraub, M., Grummer, M., Pollchik, M. & Storch, H.H., Fluid Flow Through Packed and Fluidized Systems, Bulletin 504, Bureau of Mines, United States Government Office, Washington, 1951.
17.
Kozeny, J., Über kapillare Leitung des Wassers im Boden, Hölder-Pichler-Tempsky, A.-G. [Abt.] Akad. d. Wiss, Wiedeń, 1927.
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Rząsa, M. & Łukasiewicz, E. (2022). Modeling of the Sedimentation Process of Monodisperse Suspension. Int. J. Comput. Methods Exp. Meas., 10(1), 50-61. https://doi.org/10.2495/CMEM-V10-N1-50-61
M. Rząsa and E. Łukasiewicz, "Modeling of the Sedimentation Process of Monodisperse Suspension," Int. J. Comput. Methods Exp. Meas., vol. 10, no. 1, pp. 50-61, 2022. https://doi.org/10.2495/CMEM-V10-N1-50-61
@research-article{Mariusz2022ModelingOT,
title={Modeling of the Sedimentation Process of Monodisperse Suspension},
author={RząSa Mariusz and łUkasiewicz Ewelina},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2022},
page={50-61},
doi={https://doi.org/10.2495/CMEM-V10-N1-50-61}
}
RząSa Mariusz, et al. "Modeling of the Sedimentation Process of Monodisperse Suspension." International Journal of Computational Methods and Experimental Measurements, v 10, pp 50-61. doi: https://doi.org/10.2495/CMEM-V10-N1-50-61
RząSa Mariusz and łUkasiewicz Ewelina. "Modeling of the Sedimentation Process of Monodisperse Suspension." International Journal of Computational Methods and Experimental Measurements, 10, (2022): 50-61. doi: https://doi.org/10.2495/CMEM-V10-N1-50-61
RZĄSA M， ŁUKASIEWICZ E. Modeling of the Sedimentation Process of Monodisperse Suspension[J]. International Journal of Computational Methods and Experimental Measurements， 2022， 10(1)： 50-61. https://doi.org/10.2495/CMEM-V10-N1-50-61