Static Mixers for Water Ozonation: Applications and Mathematical Modelling: A Review
Abstract
Static mixers have been successfully employed in water and wastewater treatment, particularly in water ozonation for disinfection and oxidation purposes. Producing a higher concentration of ozone requires new contactors that operate efficiently at a low gas/liquid ratio. The Kenics static mixer can meet these requirements and therefore enhance the ozone mass transfer rate. This paper summarises the field of static mixers in water ozonation, including comparisons with other gas/liquid contactors. This study also reviews recent conceptual and technological innovations in static mixers: Current industrial applications,advantages,s and types are discussed, focusing on mixing and mass transfer performance. The work is complemented by a review of mixing fundamentals, knowledge of which allows the development of mathematical models, which are crucial for the analysis of experimental data. Moreover, it reviews the recent advances of the mathematical models of zone mass transfer in static mixers: the backflow cell model (BFCM), the axial diffusion model(ADM),) and the continuous flow stirred tanks in series (CFSTR’s in series). Both the steady state and the transient BFCMs were validated with experimental data by Tizaoui and Zhang, and it was found that they accurately predicted the outlet ozone concentration and the impulse RTD curves ofthe gas-liquidd syste, respectively,y along the height of the static mixer.
Full text article
References
[1]-R. Munter, “Mathematical modelling and simulation of ozonation process in a downstream static mixer with sieve plates”, Ozone Science &Engineering, vol.26, pp. 227 –236, 2004
[2]-C. Tizaoui, Y. Zhang, “The modelling of ozone mass transfer in static mixers using Back Flow Cell Model”, Chemical Engineering Journal, vol. 162, pp. 557-564, 2010.
[3]-E. S Gaddis, “Mass transfer in gas-liquid contactors”, Chemical Engineering and processing, vol. 38, pp. 503 –510, 1999.
[4]-C. Sanchez, A. Couvert, A. Laplanche, C. Renner, “Hydrodynamic and mass transfer in a new co-current two-phase flow gas–liquid contactor”, Chemical Engineering Journal, vol. 131, pp. 49–58, 2007.
[5]-R. Munter, S. Preis, S. Kamenev, E. Siirde, “Methodology of ozone introduction into water and wastewater treatment”, Ozone: Science & Engineering, vol.15, pp. 149 –156, 1992.
[6]-C. Gottschalk, J. A. Libra, A. Saupe, Ozonation of Water and Waste Water: A Principle Guide to Understanding Ozone and its Applications. Germany: Wiley-VCH, 2010.
[7]-Z. Qingshi, L. Cunli, X. Zhengyu, “A study of contacting system in water and wastewater disinfection by ozone: Mechanism of ozone transfer and inactivation related to the contacting method selection”, Ozone: Science & Engineering, vol. 11, pp. 169 –188, 1988.
[8]-H. Zhou, D. W. Smith “Modelling of dissolved ozone concentration profiles in bubble columns”, Journal of Environmental Engineering, vol. 120, pp. 821 –840, 1995.
[9]-M. Roustan, W. D. Walbert, “Modeling Hydrodynamics And Mass Transfer Parameters In A Continuous Ozone Bubble Column”, Ozone Science &Engineering, vol. 18 pp. 99 –115, 1996.
[10]-Chemineer, Inc., 1998. Kenics: static mixing technology. Bulletin,800(commercial documentation)
[11]-R. K. Thakur, C. Vial, K. Nigam, E. B. Nauman, D. Djelveh, “Static mixers in the process industries –A review”, Trans IChemE, vol. 81, pp. 787 –826, 2003.
[12]-J. Arimond, L. Erwin “A simulation of a motionless mixer”, Chem. Eng. Commun., 1995, vol. 37, pp. 105–126, 1985.
[13]-F. H. Ling, X. Zhang, “A numerical study on mixing in the Kenics static mixer”, Chem. Eng. Commun., vol. 136, pp. 119–141, 1995.
[14]-A. Heyouni, M. Roustan, Z. Do-Quang, “Hydrodynamics and mass transfer in gas–liquid flow through static mixers”, Chemical Engineering Science, vol.57, pp. 3325 –3333, 2002.
[15]-T. Y. Shah, J. G Stiegel, and M. M. Sharma, “Backmixing in gas-liquid reactor”, the American institute of chemical engineering, vol. 24:3, pp. 369-400, 1978.
[16]-J.C. Mecklenburgh, S. Hartland, Theory of Backmixing. London: John Wiley & Sons, 1975.
[17]-M. G. El-Din, D. W. Smith “Theoretical analysis and experimental verification of ozone mass transfer in bubble column”, Fundamental Technology, vol. 23, pp. 135 –147, 2001c.
[18]-O. Levenspiel, Chemical Reaction Engineering. Newyork: John Wiley & Sons, 1999.
[19]-K. A. Coker, Modeling of Chemical Kinetics and Reactor Design. Boston: Butterworth-Heinemann, 2001.
[20]-M. Roustoan, J. Mallevialle, H. Roques, J. P. Jones, “Mass transfer of ozone to water:A Fundamental study”, International ozone association, vol. 2, pp. 337–344, 1981.
[21]-R.T. Perry, D. W. Green, Perry’s Chemical Engineers’ Handbook. New York: McGraw-Hill, 1997.
[22]-Craik., A. Stephen., Finch., Gordon., Leparc., “The effect of ozone gas-liquid contacting conditions in a static mixer on microorganism reduction”, Ozone: Science & Engineering, vol. 24, pp. 91-103, 2002.
[23]-A. Ghanem, T. Lemenand, D. D. Valle., “Static Mixers: Mechanisms, Applications and characterization methods –A review’’, Chemical Engineering Research and Design, Vol. 92, pp. 205 –228, 2014.
[24]-M. S. Baawain, M. G. El-Din, Clarke., Katie and Smith, W. Daniel “Impinging-Jet Ozone Bubble Column Modeling: Hydrodynamics, Gas Hold-up, Bubble Characteristics, and Ozone Mass Transfer”, Ozone: Science & Engineering, vol. 29: 4, pp. 245 —259, 2007.
[25]-M. G. El-Din, D. W. Smith, “ozone mass transfer in water treatment: hydrodynamics and mass transfer modelling of ozone bubble columns”, Water Sci. Tech, vol. 1, pp. 123 –130, 2001b.
[26]-W. Deckwer, “The backflow cell Model-Applied to non-isothermal reactors”, I & E Fundamentals, vol. 8, pp. 135-144, 1974.
[27]-J. T. Baldwin, L. D. Durbin “The backflowcell model of isothermal first order flow reactors with axial dispersion “, The Canadian Journal of Chemical Engineering, pp 151 –157, 1966.
[28]-M.H. Romer, L.D. Durbin, “Transient response and moments analysis of backflow cell model for flow systems with longitudinal mixing”, Ind. Eng. Chem. Fundam., vol. 6, pp. 120–129, 1967.
[29]-T. Miyauch, T. Vermeulen, ‘Diffusion and backflow models for two-phase axial dispersion’, I & E Fundamentals, vol. 2, pp. 304-310, 1963.
[30]-K. J. Beers, Numerical methods for Chemical Engineering: Application in Matlab. Cambridge: Cambridge University Press, 2001.
[31]-M. G. El-Din, D. W. Smith, “Development of Transient Back Flow Cell Model (BFCM) for Bubble Columns”, Ozone: Science & Engineering, vol. 23, pp. 313 –326, 2001a.
[32]-C. M. Madhuranthakam, Q. Pan, G. L.Rempel, “Residence time distribution and liquid holdup in Kenics KMX static mixer with hydrogenated nitrile butadiene rubber solution and hydrogen gas system”, Chemical Engineering and Processing, vol. 64, pp. 3320–3328, 2009.
[33]-Mohamed Saad, " Comparative Study of Different Mathematical Models of Ozone Mass Transfer in a Kenics Static Mixer", ICCPGE 2016, AlMergib University, Alkhoms, Libya, vol, pp 60-80.
[34]-Mohamed A. M. Saad, Abdullah. A. Elamari, Awad, E. Alshebani, Faraj A. Altaher, E. M. Elmabrouk "An Analysis Study of the impact of the main operating parameters on the ozone mass transfer rate in a Kenics Staic Mixer Using the Steady State Back Flow Cell Model (BFCM)", Journal of Alasmaraya university, Vol 36, pp. 41-64, 2019.
Authors
Copyright (c) 2020 Journal of Pure & Applied Sciences

This work is licensed under a Creative Commons Attribution 4.0 International License.
In a brief statement, the rights relate to the publication and distribution of research published in the journal of the University of Sebha where authors who have published their articles in the journal of the university of Sebha should how they can use or distribute their articles. They reserve all their rights to the published works, such as (but not limited to) the following rights:
- Copyright and other property rights related to the article, such as patent rights.
- Research published in the journal of the University of Sebha and used in its future works, including lectures and books, the right to reproduce articles for their own purposes, and the right to self-archive their articles.
- The right to enter a separate article, or for a non-exclusive distribution of their article with an acknowledgment of its initial publication in the journal of Sebha University.
Privacy Statement The names and e-mail addresses entered on the Sabha University Journal site will be used for the aforementioned purposes only and for which they were used.