On the relationship between hydrodynamic characteristics and the kinetics of column flotation. Part I: Modeling the gas dispersion

作者: Ali Vazirizadeh , Jocelyn Bouchard , René del Villar

DOI: 10.1016/J.MINENG.2014.09.026

关键词: Standard deviationDistribution (mathematics)Distribution functionLog-normal distributionChemistryBubbleFluxThermodynamicsMechanicsSauter mean diameterVariable (mathematics)

摘要: Abstract Modeling of flotation has been the subject many investigations aiming at better understanding process behavior per se, and as well for design, control optimization purposes. With this regard, importance hydrodynamic characteristics, either manipulated or measured variables, are paramount. The interfacial area bubbles ( I b ) is introduced in Part 1 paper a variable providing more information about size distribution than commonly used bubble surface flux S ). Experimental evidence shows that can exhibit normal, lognormal, even multi-modal shape. Unlike Sauter mean diameter d 32 , derived from complete distribution, takes into account these specific characteristics. Fundamental expressions proposed to allow characterising using population standard deviation. results indicate lognormal distributions, correlates with gas hold-up . 2 analyzes correlation dispersion characteristics rate constant.

参考文章(30)
D Gómez-Díaz, JM Navaza, B Sanjurjo, None, Interfacial area evaluation in a bubble column in the presence of a surface-active substance: Comparison of methods Chemical Engineering Journal. ,vol. 144, pp. 379- 385 ,(2008) , 10.1016/J.CEJ.2008.02.002
J.R Hernandez-Aguilar, R.G Coleman, C.O Gomez, J.A Finch, A comparison between capillary and imaging techniques for sizing bubbles in flotation systems Minerals Engineering. ,vol. 17, pp. 53- 61 ,(2004) , 10.1016/J.MINENG.2003.09.011
Porntip Wongsuchoto, Tawatchai Charinpanitkul, Prasert Pavasant, Bubble size distribution and gas–liquid mass transfer in airlift contactors Chemical Engineering Journal. ,vol. 92, pp. 81- 90 ,(2003) , 10.1016/S1385-8947(02)00122-5
Jan E. Nesset, Jose R. Hernandez-Aguilar, Claudio Acuna, Cesar O. Gomez, James A. Finch, Some gas dispersion characteristics of mechanical flotation machines Minerals Engineering. ,vol. 19, pp. 807- 815 ,(2006) , 10.1016/J.MINENG.2005.09.045
W. Kracht, G. Vallebuona, A. Casali, Rate constant modelling for batch flotation, as a function of gas dispersion properties Minerals Engineering. ,vol. 18, pp. 1067- 1076 ,(2005) , 10.1016/J.MINENG.2005.04.005
J.A. Finch, J. Xiao, C. Hardie, C.O. Gomez, Gas dispersion properties: bubble surface area flux and gas holdup Minerals Engineering. ,vol. 13, pp. 365- 372 ,(2000) , 10.1016/S0892-6875(00)00019-4
J.J. Quinn, J.A. Finch, On the origin of bi-modal bubble size distributions in the absence of frother Minerals Engineering. ,vol. 36, pp. 237- 241 ,(2012) , 10.1016/J.MINENG.2012.04.001
J. Yianatos, L. Bergh, C. Pino, L. Vinnett, C. Muñoz, A. Yañez, Industrial evaluation of a new flotation mechanism for large flotation cells Minerals Engineering. ,vol. 36, pp. 262- 271 ,(2012) , 10.1016/J.MINENG.2012.05.002
Daniel F McGinnis, John C Little, Predicting diffused-bubble oxygen transfer rate using the discrete-bubble model. Water Research. ,vol. 36, pp. 4627- 4635 ,(2002) , 10.1016/S0043-1354(02)00175-6