An improved model for estimating fractal structure of silica nano-agglomerates in a vibro-fluidized bed
DOI:
https://doi.org/10.1260/1750-9548.9.4.325Abstract
A study has been conducted to determine the effects of operating conditions such as vibration frequency, vibration amplitude on the fractal structure of silica (SiO2) nanoparticle agglomerate in a vibro-fluidized bed. An improved model was proposed by assimilation of fractal theory, Richardson-Zaki equation and mass balance. This model has been developed to predict the properties of nanoparticle agglomerate, such as fractal dimension and its size. It has been found out the vibration intensity increase leads to a slight reduction in fractal dimension of agglomerate. This Paper is also indicated that the size of agglomerate has the same behavior as fractal dimension with respect to vibration intensity changes. This study demonstrated that the fractal dimension of Silica nanoparticle agglomerate is in the range of 2.61 to 2.69 and the number of primary particles in the agglomerate is in the order of 1010. The vibration frequency is more impressive than its amplitude on agglomerate size reduction. Calculated Minimum fluidization velocity by applying predicted agglomerate sizes and experimental data are acceptable fitted.
References
Hakim, L. F., Portman, J. L., Casper, M. D. and Weimer, A. W., Aggregation behavior of nanoparticles in fluidized beds, Powder Technology, 2005, 160, 149–160. https://doi.org/10.1016/j.powtec.2005.08.019
Seville, J. P. K., Willett, C. D. and Knight, P. C., Interparticle forces in fluidization: a review, Powder Technology, 2000, 113, 261–268. https://doi.org/10.1016/s0032-5910(00)00309-0
Chaouki, J., Chavarie, C. and Klvana, D., Effect of Interparticle forces on the hydrodynamic behavior of fluidized aerogels, Powder Technology, 1985, 43, 117–125. https://doi.org/10.1016/0032-5910(85)87003-0
Zhou, T. and Li, H., Estimation of agglomerate size for cohesive particles during fluidization., Powder Technology, 1999, 101, 57–62. https://doi.org/10.1016/s0032-5910(98)00148-x
Morooka, S., Kusakabe, K., Kobata, A. and Kato, Y., Fluidization state of ultrafine powders, Journal of Chemical Engineering of Japan, 1988, 21, 41–46. https://doi.org/10.1252/jcej.21.41
Zhu, C., Yu, Q., Dave, R. N. and Pfeffer, R., Gas fluidization characteristics of nanoparticle agglomerates, AIChE Journal, 2005, 51, 426–439. https://doi.org/10.1002/aic.10319
Matsuda, S., Hatano, H., Muramoto, T. and Tsutsumi, A., Modeling for size reduction of agglomerates in nanoparticle fluidization, AIChE Journal, 2004, 50, 2763–2771. https://doi.org/10.1002/aic.10258
Vaidya, T. S., Fluidization behavior of alumina nano-particles, Applied Mechanics and Materials, 2012, 110, 1833–1840. https://doi.org/10.4028/www.scientific.net/amm.110-116.1833
Valverde, J. M. and Castellanos, A., Fluidization of nanoparticles: A simple equation for estimating the size of agglomerates, Chemical Engineering Journal, 2008, 140, 296–304. https://doi.org/10.1016/j.cej.2007.09.032
Yao, W., Guangsheng, G., Fei, W. and Jun, W., Fluidization and agglomerate structure of SiO2 nanoparticles, Powder Technology, 2002, 124, 152–159. https://doi.org/10.1016/s0032-5910(01)00491-0
Valverde, J. M. and Castellanos, A., Fluidization, bubbling and jamming of nanoparticle agglomerates, Chemical Engineering Science, 2007, 62, 6947–6956. https://doi.org/10.1016/j.ces.2007.08.050
Richardson, J. F. and Zaki, W. N., Sedimentation and fluidization: Part I, Chemical Engineering Research and Design, 1977, 75, S82–S100. https://doi.org/10.1016/s0263-8762(97)80006-8
Nam, C. H., Pfeffer, R., Dave, R. N. and Sundaresan, S., Aerated vibrofluidization of silica nanoparticles, AIChE Journal, 2004, 50, 1776–1785. https://doi.org/10.1002/aic.10237
Valverde, J. M. and Castellanos, A., Fluidization of nanoparticles: A modified Richardson-Zaki law, AIChE Journal, 2006, 52, 838–842. https://doi.org/10.1002/aic.10652
Yang, J., Zhou, T. and Song, L., Agglomerating vibro-fluidization behavior of nanoparticles, Advanced Powder Technology, 2009, 20, 158–163. https://doi.org/10.1016/j.apt.2008.06.002
Kaliyaperumal, S., Barghi, S., Briens, L., Rohani, S. and Zhu, J., Fluidization of nano and sub-micron powders using mechanical vibration, Particuology, 2011, 9, 279–287. https://doi.org/10.1016/j.partic.2011.03.003
Liang, X., Duan, H., Zhou, T. and Kong, J., Fluidization behavior of binary mixtures of nanoparticles in vibro-fluidized bed, Advanced Powder Technology, 2014, 25, 236–243. https://doi.org/10.1016/j.apt.2013.04.005
Ammendola, P., Chirone, R. and Raganati, F., Fluidization of binary mixtures of nanoparticles under the effect of acoustic fields, Advanced Powder Technology, 2011, 22, 174–183. https://doi.org/10.1016/j.apt.2010.10.002
Ammendola, P., Chirone, R. and Raganati, F., Effect of mixture composition, nanoparticle density and sound intensity on mixing quality of nanopowders, Chemical Engineering and Processing: Process Intensification, 2011, 50, 885–891. https://doi.org/10.1016/j.cep.2011.05.001
Deng, X., Scicolone, J. V. and Dave, R. N., Discrete element method simulation of cohesive particles mixing under magnetically assisted impaction, Powder Technology, 2013, 243, 96–109. https://doi.org/10.1016/j.powtec.2013.03.043
Quevedo, J. A., Pfeffer, R., Shen, Y., Dave, R. N., Nakamura, H. and Watano, S., Fluidization of nanoagglomerates in a rotating fluidized bed, AIChE Journal, 2006, 52, 2401–2412. https://doi.org/10.1002/aic.10826
Xu, C. and Zhu, J., Experimental and theoretical study on the agglomeration arising from fluidization of cohesive particles-effects of mechanical vibration, Chemical Engineering Science, 2005, 60, 6529–6541. https://doi.org/10.1016/j.ces.2005.05.062
Mandelbrot, B. B., The Fractal Geometry of Nature, WH Freeman and Co., New York, 1983.
van Ommen, J. R., Valverde, J. M. and Pfeffer, R., Fluidization of nanopowders: a review, Journal of Nanoparticle Research, 2012, 14, 1–29.
Castellanos, A., Valverde, J. M. and Quintanilla, M. A. S., Aggregation and sedimentation in gas-fluidized beds of cohesive powders, Physical Review E, 2001, 64, 043104. https://doi.org/10.1103/physreve.64.041304
Mawatari, Y., Ikegami, T., Tatemoto, Y. and Noda, K., Prediction of agglomerate size for fine particles in avibro-fluidized bed, Journal of Chemical Engineering of Japan, 2003, 36, 277–283. https://doi.org/10.1252/jcej.36.277
Filippov, A.V., Zurita, M. and Rosner, D. E., Fractal-like aggregates: Relation between morphology and physical properties, Journal of Colloid and Interface Science, 2000, 229, 261–273. https://doi.org/10.1006/jcis.2000.7027
Xiong, C. and Friedlander, S. K., Morphological properties of atmospheric aerosol aggregates, Proceedings of the National Academy of Sciences, 2001, 98, 11851–11856. https://doi.org/10.1073/pnas.211376098
Forrest, S. R. and Witten Jr., T. A., Long-range correlations in smoke-particle aggregates, Journal of
Sorensen, C. M. and Roberts, G. C., The prefactor of fractal aggregates, Journal of Colloid and Interface Science, 1997, 186, 447–452. https://doi.org/10.1006/jcis.1996.4664
Brasil, A. M., Farias, T. L. and Carvalho, M. G., Evaluation of the fractal properties of cluster-cluster aggregates, Aerosol Science & Technology, 2000, 33, 440–454. https://doi.org/10.1080/02786820050204682
Wu, M. and Freidlander, S. K., Note on the power-law equation for fractal-like aerosol agglomerates, Journal of Colloid and Interface Science, 1993, 159, 246–248. https://doi.org/10.1006/jcis.1993.1319
Wang, H., Zhou, T., Yang, J. S., Wang, J. J., Kage, H. and Mawatari, Y., Model for calculation of agglomerate sizes of nanoparticles in a vibro-fluidized bed, Chemical Engineering & Technology, 2010, 33, 388–394. https://doi.org/10.1002/ceat.200900453
Rogak, S. N. and Flagan, R. C., Stokes drag on self-similar clusters of spheres, Journal of Colloid and Interface Science, 1990, 137, 206–218. https://doi.org/10.1016/0021-9797(90)90268-s
Gmachowski, L., Calculation of the fractal dimension of aggregates, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2002, 211, 197–203. https://doi.org/10.1016/s0927-7757(02)00278-9
Zhou, L., Wang, H., Zhou, T., Li, K., Kage, H. and Mawatari, Y., Model of estimating nano-particle agglomerate sizes in a vibro-fluidized bed, Advanced Powder Technology, 2013, 24, 311–316. https://doi.org/10.1016/j.apt.2012.08.002
Garside, J. and Al-Dibouni, M. R., Velocity-voidage relationships for fluidization and sedimentation in solid-liquid systems, Industrial & Engineering Chemistry Process Design and Development, 1977, 16, 206–214. https://doi.org/10.1021/i260062a008
Kunii, D. and Levenspiel, O., Fluidization Engineering, 2nd edn., Butterworth-Heinemann, Boston, 1991.
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