Modelling particle deagglomeration in a batch homogenizer using full CFD and mechanistic models

• Autorzy: Krzosa Radosław , Wojtas Krzysztof , Golec Jakub , Makowski Łukasz , Orciuch Wojciech , Adamek Radosław

Identyfikatory

DOI

10.24425/cpe.2021.137344

• Języki publikacji: EN

Abstrakty

EN

Modelling of titanium dioxide deagglomeration in the mixing tank equipped with a high shear impeller is presented in this study. A combination of computational fluid dynamics with population balance was applied for prediction of the final particle size. Two approaches are presented to solve population balance equations. In the first one, a complete population balance breakage kinetics were implemented in the CFD code to simulate size changes in every numerical cell in the computational domain. The second approach uses flow field and properties of turbulence to construct a mechanistic model of suspension flow in the system. Such approach can be considered as an attractive alternative to CFD simulations, because it allows to greatly reduce time required to obtain the results, i.e., the final particle size distribution of the product. Based on experiments shattering breakage mechanism was identified. A comparison of the mechanistic model and full CFD does not deviate from each other. Therefore the application of a much faster mechanistic model has comparable accuracy with full CFD. The model of particle deagglomeration does not predict a very fast initial drop of particle size, observed in the experiment, but it can predict, with acceptable accuracy, the final particle size of the product.

Słowa kluczowe

EN

population balance; titanium dioxide; CFD; breakup; high shear impeller

PL

bilans populacji; dwutlenek tytanu; CFD; wirnik o wysokim ścinaniu

• Wydawca: Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk
• Czasopismo: Chemical and Process Engineering
• Rocznik: 2021
• Tom: Vol. 42, nr 2
• Strony: 105–--118
• Opis fizyczny: Bibliogr. 37 poz., tab., rys., wykr.

Twórcy

autor

Krzosa Radosław

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, ul. Waryńskiego 1, 00-645 Warsaw, Poland

autor

Wojtas Krzysztof

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, ul. Waryńskiego 1, 00-645 Warsaw, Poland

autor

Golec Jakub

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, ul. Waryńskiego 1, 00-645 Warsaw, Poland

autor

Makowski Łukasz

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, ul. Waryńskiego 1, 00-645 Warsaw, Poland

autor

Orciuch Wojciech

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, ul. Waryńskiego 1, 00-645 Warsaw, Poland

autor

Adamek Radosław

• ICHEMAD–Profarb, ul. Chorzowska 117, 44–100 Gliwice, Poland

Bibliografia

• 1. Atiemo-Obeng V.A., Calabrese R.V., 2004. Rotor–stator mixing devices, In: Paul E.L., Atiemo-Obeng V.A., Kresta S.M. (Eds.), Handbook of industrial mixing. DOI: 10.1002/0471451452.ch8.
• 2. Bałdyga J., Makowski Ł., Orciuch W., Sauter C., Schuchmann H.P., 2008a. Deagglomeration processes in high-shear devices. Chem. Eng. Res. Des., 86, 1369–1381. DOI: 10.1016/j.cherd.2008.08.016.
• 3. Bałdyga J., Orciuch W., Makowski Ł., Malik K., Özcan-Taşkin G., Eagles W., Padron G., 2008b. Dispersion of nanoparticle clusters in a rotor-stator mixer. Ind. Eng. Chem. Res., 47, 3652–3663. DOI: 10.1021/ie070899u.
• 4. Bałdyga J., Orciuch W., Makowski Ł., Malski-Brodzicki M., Malik K., 2007. Break up of nano-particle clusters in high-shear devices. Chem. Eng. Process. Process Intensif., 46, 851–861. DOI: 10.1016/j.cep.2007.05.016.
• 5. Boverhof D.R., Bramante C.M., Butala J.H., Clancy S.F., Lafranconi W.M., West J., Gordon S.C., 2015. Comparative assessment of nanomaterial definitions and safety evaluation considerations. Regul. Toxicol. Pharm., 73, 137–150. DOI: 10.1016/j.yrtph.2015.06.001.
• 6. Chung C.J., Lin H.I., Tsou H.K., Shi Z.Y., He J.L., 2008. An antimicrobial TiO2 coating for reducing hospital-acquired infection. J. Biomed. Mater. Res. Part B, 85b, 220–224. DOI: 10.1002/jbm.b.30939.
• 7. Fujishima A., Rao T.N., Tryk D.A., 2000. Titanium dioxide photocatalysis. J. Photochem. Photobiol., C, 1, 1–21. DOI: 10.1016/S1389-5567(00)00002-2.
• 8. Gajović A., Stubičar M., Ivanda M., Furi K., 2001. Raman spectroscopy of ball-milled TiO2. J. Mol. Struct., 563–564, 315–320. DOI: 10.1016/S0022-2860(00)00790-0.
• 9. Gavi E., Kubicki D., Padron G.A., Özcan-Taşkın N.G., 2018. Breakup of nanoparticle clusters using Microfluidizer M110-P. Chem. Eng. Res. Des., 132, 902–912. DOI: 10.1016/j.cherd.2018.01.011.
• 10. Gázquez M.J., Bolívar J.P., Garcia-Tenorio R., Vaca F., 2014. A review of the production cycle of titanium dioxide pigment. Mater. Sci. Appl., 5, 441–458. DOI: 10.4236/msa.2014.57048.
• 11. Hansen S., Khakhar D.V., Ottino J.M., 1998. Dispersion of solids in nonhomogeneous viscous flows. Chem. Eng. Sci., 53, 1803–1817. DOI: 10.1016/S0009-2509(98)00010-4.
• 12. Hass G., 1952. Preparation, properties and optical applications of thin films of titanium dioxide. Vacuum, 2, 331–345. DOI: 10.1016/0042-207X(52)93783-4.
• 13. Kamaly S.W., Tarleton A.C., Özcan-Taşkın N.G., 2017. Dispersion of clusters of nanoscale silica particles using batch rotor-stators. Adv. Powder Technol., 28, 2357–2365. DOI: 10.1016/j.apt.2017.06.017.
• 14. Krzosa R., Makowski Ł., Orciuch W., Adamek R., 2021. Population balance application in TiO2 particle deagglomeration process modeling. Energies, 14, 3523. DOI: 10.3390/en14123523.
• 15. Mandzy N., Grulke E., Druffel T., 2005. Breakage of TiO2 agglomerates in electrostatically stabilized aqueous dispersions. Powder Technol., 160, 121–126. DOI: 10.1016/j.powtec.2005.08.020.
• 16. Marchisio D.L., Fox R.O., 2005. Solution of population balance equations using the direct quadrature method of moments. J. Aerosol Sci., 36, 43–73. DOI: 10.1016/j.jaerosci.2004.07.009.
• 17. Marchisio D.L., Vigil R.D., Fox R.O., 2003. Quadrature method of moments for aggregation-breakage processes. J. Colloid Interface Sci., 258, 322–334. DOI: 10.1016/S0021-9797(02)00054-1.
• 18. Martínez-de Jesús G., Ramírez-Muńoz J., García-Cortés D., Cota L.G., 2018. Computational fluid dynamics study of flow induced by a grooved high-shear impeller in an unbaffled tank. Chem. Eng. Technol., 41, 580–589. DOI: 10.1002/ceat.201700091.
• 19. McGraw R., 1997. Description of aerosol dynamics by the quadrature method of moments. Aerosol Sci. Technol., 27, 255–265. DOI: 10.1080/02786829708965471.
• 20. Meacock G., Taylor K.D.A., Knowles M.J., Himonides A., 1997. The improved whitening of minced cod flesh using dispersed titanium dioxide. J. Sci. Food Agric., 73, 221–225. DOI: 10.1002/(SICI)1097-0010(199702)73:2<221::AID-JSFA708>3.0.CO;2-U.
• 21. Middlemas S., Fang Z.Z., Fan P., 2015. Life cycle assessment comparison of emerging and traditional Titanium dioxide manufacturing processes. J. Clean. Prod., 89, 137–147. DOI: 10.1016/j.jclepro.2014.11.019.
• 22. Mikulášek P., Wakeman R.J., Marchant J.Q., 1997. The influence of pH and temperature on the rheology and stability of aqueous titanium dioxide dispersions. Chem. Eng. J., 67, 97–102. DOI: 10.1016/S1385-8947(97) 00026-0.
• 23. Özcan-Taşkin N.G., Padron G., Voelkel A., 2009. Effect of particle type on the mechanisms of break up of nanoscale particle clusters. Chem. Eng. Res. Des., 87, 468–473. DOI: 10.1016/j.cherd.2008.12.012.
• 24. Özcan-Taşkın N.G., Padron G.A., Kubicki D., 2016. Comparative performance of in-line rotor-stators for deag-glomeration processes. Chem. Eng. Sci., 156, 186–196. DOI: 10.1016/j.ces.2016.09.023.
• 25. Randolph A.D., Larson M.A., 1962. Transient and steady state size distributions in continuous mixed suspension crystallizers. AIChE J., 8, 639–645. DOI: 10.1002/aic.690080515.
• 26. Reck E., Richards M., 1999. TiO2 manufacture and life cycle analysis. Pigm. Resin Technol., 28, 149–157. DOI: 10.1108/ 03699429910271297.
• 27. Rodgers T.L., Cooke M., Siperstein F.R., Kowalski A., 2009. Mixing and dissolution times for a cowles disk agitator in large-scale emulsion preparation. Ind. Eng. Chem. Res., 48, 6859–6868. DOI: 10.1021/ie900286s.
• 28. Sen S., Ram M.L., Roy S., Sarkar B.K., 1999. The structural transformation of anatase TiO2 by high-energy vibrational ball milling. J. Mater. Res., 14, 841–848. DOI: 10.1557/JMR.1999.0112.
• 29. Shamlou P.A., Titchener-Hooker N., 1993. Turbulent aggregation and breakup of particles in liquids in stirred vessels, In: Shamlou P.A. (Ed.), Processing of Solid–Liquid Suspensions. Butterworth-Heinemann Ltd. 1–25. DOI: 10.1016/b978-0-7506-1134-3.50005-3.
• 30. Tang S., Ma Y., Shiu C., 2001. Modelling the mechanical strength of fractal aggregates. Colloids Surf., A, 180, 7–16. DOI: 10.1016/S0927-7757(00)00743-3.
• 31. Unadkat H., Rielly C.D., Nagy Z.K., 2011. PIV study of the flow field generated by a sawtooth impeller. Chem. Eng. Sci., 66, 5374–5387. DOI: 10.1016/j.ces.2011.07.046.
• 32. Weir A., Westerhoff P., Fabricius L., Hristovski K., Von Goetz N., 2012. Titanium dioxide nanoparticles in food and personal care products. Environ. Sci. Technol., 46, 2242–2250. DOI: 10.1021/es204168d.
• 33. Xie L., Rielly C.D., Eagles W., Özcan-Taşkin G., 2007. Dispersion of nano-particle clusters using mixed flow and high shear impellers in stirred tanks. Chem. Eng. Res. Des., 85, 676–684. DOI: 10.1205/cherd06195
• 34. Xie L., Rielly C.D., Özcan-Taskin G., 2008. Break-Up of nanoparticle agglomerates by hydrodynamically limited processes. J. Dispers. Sci. Technol., 29, 573–579. DOI: 10.1080/01932690701729211.
• 35. Yang H.G., Li C.Z., Gu H.C., Fang T.N., 2001. Rheological behavior of titanium dioxide suspensions. J. Colloid Interface Sci., 236, 96–103. DOI: 10.1006/jcis.2000.7373.
• 36. Yu J., Zhao X., Zhao Q., Wang G., 2001. Preparation and characterization of super-hydrophilic porous TiO2 coating films. Mater. Chem. Phys., 68, 253–259 DOI: 10.1016/S0254-0584(00)00364-3.
• 37. Zhang J., Xu S., Li W., 2012. High shear mixers: A review of typical applications and studies on power draw, flow pattern, energy dissipation and transfer properties. Chem. Eng. Process., 57–58, 25–41. DOI: 10.1016/j.cep.2012.04.004