Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016, Article ID 8430745, 13 pages
http://dx.doi.org/10.1155/2016/8430745
Research Article

A Method of Calculating the Interaction Energy between Particles in Minerals Flotation

1College of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China
2School of Mining Engineering, University of Science and Technology Liaoning, Anshan 114051, China

Received 29 November 2015; Accepted 6 March 2016

Academic Editor: Yannis Dimakopoulos

Copyright © 2016 J. Yao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. O. Laitinen, R. Hartmann, J. A. Sirviö et al., “Alkyl aminated nanocelluloses in selective flotation of aluminium oxide and quartz,” Chemical Engineering Science, vol. 144, pp. 260–266, 2016. View at Publisher · View at Google Scholar
  2. X. Gui, J. Liu, Y. Cao, G. Cheng, S. Li, and L. Wu, “Flotation process design based on energy input and distribution,” Fuel Processing Technology, vol. 120, pp. 61–70, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. J. Amaral Filho, A. Azevedo, R. Etchepare, and J. Rubio, “Removal of sulfate ions by dissolved air flotation (DAF) following precipitation and flocculation,” International Journal of Mineral Processing, vol. 149, pp. 1–8, 2016. View at Publisher · View at Google Scholar
  4. F. Iselau, P. Restorp, M. Andersson, and R. Bordes, “Role of the aggregation behavior of hydrophobic particles in paper surface hydrophobation,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 483, pp. 264–270, 2015. View at Publisher · View at Google Scholar · View at Scopus
  5. L. Liang, Y. Wang, and Z. Pan, “Prediction of aggregation behavior of submicron-sized particles of praseodymium-doped zirconium silicate in aqueous suspension by population balance model,” Particuology, vol. 25, pp. 83–92, 2016. View at Publisher · View at Google Scholar
  6. L. Xu, Y. Hu, J. Tian et al., “Synergistic effect of mixed cationic/anionic collectors on flotation and adsorption of muscovite,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 492, pp. 181–189, 2016. View at Publisher · View at Google Scholar
  7. J. Yao, W. Yin, and E. Gong, “Depressing effect of fine hydrophilic particles on magnesite reverse flotation,” International Journal of Mineral Processing, vol. 149, pp. 84–93, 2016. View at Publisher · View at Google Scholar
  8. H. Sahoo, S. S. Rath, D. S. Rao, B. K. Mishra, and B. Das, “Role of silica and alumina content in the flotation of iron ores,” International Journal of Mineral Processing, vol. 148, pp. 83–91, 2016. View at Publisher · View at Google Scholar
  9. B. Yu, X. Che, and Q. Zheng, “Flotation of ultra-fine rare-earth minerals with selective flocculant PDHA,” Minerals Engineering, vol. 60, pp. 23–25, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. B. Wang, Y. Peng, and S. Vink, “Effect of saline water on the flotation of fine and coarse coal particles in the presence of clay minerals,” Minerals Engineering, vol. 66–68, pp. 145–151, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. S. Song, X. Zhang, B. Yang, and A. Lopez-Mendoza, “Flotation of molybdenite fines as hydrophobic agglomerates,” Separation and Purification Technology, vol. 98, pp. 451–455, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. X. Gui, G. Cheng, J. Liu, Y. Cao, S. Li, and Q. He, “Effects of energy consumption on the separation performance of fine coal flotation,” Fuel Processing Technology, vol. 115, pp. 192–200, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. W. S. Ng, R. Sonsie, E. Forbes, and G. V. Franks, “Flocculation/flotation of hematite fines with anionic temperature-responsive polymer acting as a selective flocculant and collector,” Minerals Engineering, vol. 77, pp. 64–71, 2015. View at Publisher · View at Google Scholar · View at Scopus
  14. Y. Peng and S. Zhao, “The effect of surface oxidation of copper sulfide minerals on clay slime coating in flotation,” Minerals Engineering, vol. 24, no. 15, pp. 1687–1693, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. E. Forbes, K. J. Davey, and L. Smith, “Decoupling rehology and slime coatings effect on the natural flotability of chalcopyrite in a clay-rich flotation pulp,” Minerals Engineering, vol. 56, pp. 136–144, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. X. Lei, Y. Chen, Z. Shao et al., “Effective harvesting of the microalgae Chlorella vulgaris via flocculation-flotation with bioflocculant,” Bioresource Technology, vol. 198, pp. 922–925, 2015. View at Publisher · View at Google Scholar · View at Scopus
  17. H. Yang, Q. Tang, C. Wang, and J. Zhang, “Flocculation and flotation response of Rhodococcus erythropolis to pure minerals in hematite ores,” Minerals Engineering, vol. 45, pp. 67–72, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. A. G. Lange, W. M. Skinner, and R. S. C. Smart, “Fine: coarse particle interactions and aggregation in sphalerite flotation,” Minerals Engineering, vol. 10, no. 7, pp. 681–693, 1997. View at Publisher · View at Google Scholar · View at Scopus
  19. S. Lu and S. Song, “Hydrophobic interaction in flocculation and flotation 1. Hydrophobic flocculation of fine mineral particles in aqueous solution,” Colloids and Surfaces, vol. 57, no. 1, pp. 49–60, 1991. View at Publisher · View at Google Scholar · View at Scopus
  20. B. Vincent, “Early (pre-DLVO) studies of particle aggregation,” Advances in Colloid and Interface Science, vol. 170, no. 1-2, pp. 56–67, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. B. V. Derjaguin and N. V. Churaev, “The current state of the theory of long-range surface forces,” Colloids and Surfaces, vol. 41, pp. 223–237, 1989. View at Publisher · View at Google Scholar · View at Scopus
  22. B. W. Ninham, “On progress in forces since the DLVO theory,” Advances in Colloid and Interface Science, vol. 83, no. 1, pp. 1–17, 1999. View at Publisher · View at Google Scholar · View at Scopus
  23. R.-H. Yoon and L. Mao, “Application of extended DLVO theory, IV: derivation of flotation rate equation from first principles,” Journal of Colloid and Interface Science, vol. 181, no. 2, pp. 613–626, 1996. View at Publisher · View at Google Scholar · View at Scopus
  24. Y. Hu and J. Dai, “Hydrophobic aggregation of alumina in surfactant solution,” Minerals Engineering, vol. 16, no. 11, pp. 1167–1172, 2003. View at Publisher · View at Google Scholar · View at Scopus
  25. E. J. W. Verwey and J. T. G. Overbeek, “Theory of the stability of lyophobic colloids,” Journal of Colloid Science, vol. 10, no. 2, pp. 224–225, 1955. View at Publisher · View at Google Scholar · View at Scopus
  26. J. H. Schenkel and J. A. Kitchener, “A test of the Derjaguin-Verwey-Overbeek theory with a colloidal suspension,” Transactions of the Faraday Society, vol. 56, pp. 161–173, 1960. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Hogg, T. W. Healy, and D. W. Fuerstenau, “Mutual coagulation of colloidal dispersions,” Transactions of the Faraday Society, vol. 62, pp. 1638–1651, 1966. View at Publisher · View at Google Scholar · View at Scopus
  28. R. J. Pugh and J. A. Kitchener, “Theory of selective coagulation in mixed colloidal suspensions,” Journal of Colloid And Interface Science, vol. 35, no. 4, pp. 656–664, 1971. View at Publisher · View at Google Scholar · View at Scopus
  29. J. Israelachvili and R. Pashley, “The hydrophobic interaction is long range, decaying exponentially with distance,” Nature, vol. 300, no. 5890, pp. 341–342, 1982. View at Publisher · View at Google Scholar · View at Scopus
  30. P. M. Claesson, C. E. Blom, P. C. Herder, and B. W. Ninham, “Interactions between water-stable hydrophobic Langmuir-Blodgett monolayers on mica,” Journal of Colloid And Interface Science, vol. 114, no. 1, pp. 234–242, 1986. View at Publisher · View at Google Scholar · View at Scopus
  31. D. Y. C. Chan, D. J. Mitchell, B. W. Ninham, and B. A. Pailthorpe, “Dispersion interactions across binary liquid mixtures. A proper account of structural effects,” Journal of Colloid And Interface Science, vol. 68, no. 3, pp. 462–470, 1979. View at Publisher · View at Google Scholar · View at Scopus
  32. H. K. Christenson and P. M. Claesson, “Cavitation and the interaction between macroscopic hydrophobic surfaces,” Science, vol. 239, no. 4838, pp. 390–392, 1988. View at Publisher · View at Google Scholar · View at Scopus
  33. C. J. Van Oss, Interfacial Forces in Aqueous Media, Marcel Dekker, New York, NY, USA, 2nd edition, 2006.
  34. C. J. van Oss, R. F. Giese, and P. M. Costanzo, “DLVO and non-DLVO interactions in hectorite,” Clays & Clay Minerals, vol. 38, no. 2, pp. 151–159, 1990. View at Publisher · View at Google Scholar · View at Scopus
  35. C. J. Oss, R. J. Good, and M. K. Chaudhury, “Determination off the hydrophobia interaction energy-application to separation processes,” Separation Science and Technology, vol. 22, no. 1, pp. 1–24, 1987. View at Publisher · View at Google Scholar
  36. C. J. van Oss, M. K. Chaudhury, and R. J. Good, “Monopolar surfaces,” Advances in Colloid and Interface Science, vol. 28, pp. 35–64, 1987. View at Publisher · View at Google Scholar · View at Scopus
  37. C. J. Van Oss, M. K. Chaudhury, and R. J. Good, “Interfacial Lifshitz-van der Waals and polar interactions in macroscopic systems,” Chemical Reviews, vol. 88, no. 6, pp. 927–941, 1988. View at Publisher · View at Google Scholar · View at Scopus
  38. C. J. Van Oss and R. J. Good, “Surface tension and the solubility of polymers and biopolymers: the role of polar and apolar interfacial free energies,” Journal of Macromolecular Science A. Chemistry, vol. 26, no. 8, pp. 1183–1203, 1989. View at Google Scholar · View at Scopus
  39. L. Bergström, “Hamaker constants of inorganic materials,” Advances in Colloid and Interface Science, vol. 70, pp. 125–169, 1997. View at Publisher · View at Google Scholar
  40. P. G. Smith and L. J. Warren, “Entrainment of particles into flotation froths,” Mineral Processing and Extractive Metallurgy Review, vol. 5, no. 1–4, pp. 123–145, 1989. View at Publisher · View at Google Scholar
  41. E. C. Cilek, “The effect of hydrodynamic conditions on true flotation and entrainment in flotation of a complex sulphide ore,” International Journal of Mineral Processing, vol. 90, no. 1–4, pp. 35–44, 2009. View at Publisher · View at Google Scholar · View at Scopus
  42. A. Hubbard, “Colloidal science of flotation: by Anh V. Nguyen and Hans Joachim Schulze. Marcel Dekker, New York, 2004, 850 pp.,” Journal of Colloid and Interface Science, vol. 273, no. 1, p. 343, 2004. View at Publisher · View at Google Scholar
  43. O. N. Savassi, D. J. Alexander, J. P. Franzidis, and E. V. Manlapig, “An empirical model for entrainment in industrial flotation plants,” Minerals Engineering, vol. 11, no. 3, pp. 243–256, 1998. View at Publisher · View at Google Scholar · View at Scopus
  44. H. Tavana, C. N. C. Lam, K. Grundke et al., “Contact angle measurements with liquids consisting of bulky molecules,” Journal of Colloid and Interface Science, vol. 279, no. 2, pp. 493–502, 2004. View at Publisher · View at Google Scholar · View at Scopus
  45. C.-T. Lin and K.-L. Lin, “Contact angle of 63Sn–37Pb and Pb-free solder on Cu plating,” Applied Surface Science, vol. 214, no. 1–4, pp. 243–258, 2003. View at Publisher · View at Google Scholar
  46. S. A. Shedid and M. T. Ghannam, “Factors affecting contact-angle measurement of reservoir rocks,” Journal of Petroleum Science and Engineering, vol. 44, no. 3-4, pp. 193–203, 2004. View at Publisher · View at Google Scholar · View at Scopus
  47. C. N. C. Lam, R. Wu, D. Li, M. L. Hair, and A. W. Neumann, “Study of the advancing and receding contact angles: liquid sorption as a cause of contact angle hysteresis,” Advances in Colloid and Interface Science, vol. 96, no. 1–3, pp. 169–191, 2002. View at Publisher · View at Google Scholar · View at Scopus
  48. N. Gence, “Wetting behavior of magnesite and dolomite surfaces,” Applied Surface Science, vol. 252, no. 10, pp. 3744–3750, 2006. View at Publisher · View at Google Scholar · View at Scopus
  49. C. N. C. Lam, R. H. Y. Ko, L. M. Y. Yu et al., “Dynamic cycling contact angle measurements: study of advancing and receding contact angles,” Journal of Colloid and Interface Science, vol. 243, no. 1, pp. 208–218, 2001. View at Publisher · View at Google Scholar · View at Scopus
  50. J. S. Kim, R. H. Friend, and F. Cacialli, “Surface wetting properties of treated indium tin oxide anodes for polymer light-emitting diodes,” Synthetic Metals, vol. 111-112, pp. 369–372, 2000. View at Publisher · View at Google Scholar · View at Scopus
  51. A. Yehia and M. I. Al-Wakeel, “Talc separation from talc-carbonate ore to be suitable for different industrial applications,” Minerals Engineering, vol. 13, no. 1, pp. 111–116, 2000. View at Publisher · View at Google Scholar · View at Scopus
  52. D. Y. Kwok and A. W. Neumann, “Contact angle measurement and contact angle interpretation,” Advances in Colloid and Interface Science, vol. 81, no. 3, pp. 167–249, 1999. View at Publisher · View at Google Scholar · View at Scopus
  53. S. V. C. Bravo, M. L. Torem, M. B. M. Monte, A. J. B. Dutra, and L. A. Tondo, “The influence of particle size and collector on the flotation of a very low grade auriferous ore,” Minerals Engineering, vol. 18, no. 4, pp. 459–461, 2005. View at Publisher · View at Google Scholar · View at Scopus
  54. J. Liu, X. Wang, C.-L. Lin, and J. D. Miller, “Significance of particle aggregation in the reverse flotation of kaolinite from bauxite ore,” Minerals Engineering, vol. 78, pp. 58–65, 2015. View at Publisher · View at Google Scholar · View at Scopus
  55. L. Wang, Y. Peng, K. Runge, and D. Bradshaw, “A review of entrainment: mechanisms, contributing factors and modelling in flotation,” Minerals Engineering, vol. 70, pp. 77–91, 2015. View at Publisher · View at Google Scholar · View at Scopus