Skip to main content

Kinetic Theory of Flotation of Small Particles

  • Chapter
Surface and Colloid Science

Abstract

Until recently the flotation theory has been reduced to the thermodynamic study of adhesion of particles to the surface of a bubble. This approach made it possible to analyze the problem of selectivity of large-size particles (~100 µm or more), which is of major importance for ore dressing.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. B. V. Derjaguin and S. S. Dukhin, Izv. Akad. Nauk SSSR, Otdel. Metall. ToQl. 1, 82 (1959).

    Google Scholar 

  2. B. V. Derjaguin and S. S. Dukhin, Trans. Am. Inst. Mining Met. 70, 221 (1960).

    Google Scholar 

  3. B. V. Derjaguin, S. S. Dukhin, and V. A. Lisichenko, Zh. Fiz. Khim 33, 2280 (1959).

    Google Scholar 

  4. B. V. Derjaguin, S. S. Dukhin, and V. A. Lisichenko, Zh. Fiz. Khim. 34, 524 (1960).

    Google Scholar 

  5. S. S. Dukhin, Zh. Fiz. Khim. 34, 1053 (1960).

    Google Scholar 

  6. B. V. Derjaguin and S. S. Dukhin, Zh. Fiz. Khim. 35, 1247 (1961).

    Google Scholar 

  7. B. V. Derjaguin and S. S. Dukhin, Zh. Fiz. Khim. 35, 1453 (1961).

    Google Scholar 

  8. S. S. Dukhin, Dokl. Akad. Nauk SSSR 130, 1298 (1960).

    Google Scholar 

  9. B. V. Derjaguin and V. D. Samygin, Collection of Papers of Mintsvetmet, No. 9, Metallur-gizdat, 1962, p. 240.

    Google Scholar 

  10. B. V. Derjaguin and S. S. Dukhin, 3rd Intern. Kongr. für grenzflächenaktive Stoffe, Köln 2, Sekt. B, Mainz, 1960, p. 324.

    Google Scholar 

  11. B. V. Derjaguin, S. S. Dukhin, and N. N. Rulyov, Kolloidn. Zh. 38, 251 (1976).

    Google Scholar 

  12. B. V. Derjaguin, S. S. Dukhin, N. N. Rulyov, and V. P. Semenov, Kolloidn. Zh. 38, 258 (1976).

    Google Scholar 

  13. N. N. Rulyov, Kolloidn. Zh. 40, 898 (1978).

    Google Scholar 

  14. N. N. Rulyov, Kolloidn. Zh. 40, 1202 (1978).

    Google Scholar 

  15. N. N. Rulyov, V. K. Ososkov, and L. D. Skrilev, Kolloidn. Zh. 40, 590 (1978).

    Google Scholar 

  16. N. N. Rulyov, V. K. Ososkov, A. V. Punch, and L. D. Skrilev, Kolloidn. Zh. 40, 1132 (1977).

    Google Scholar 

  17. N. N. Rulyov, Kolloidn. Zh. 39, 80 (1977).

    Google Scholar 

  18. N. N. Rulyov, B. V. Derjaguin, and S. S. Dukhin, Kolloidn. Zh. 39, 314 (1977).

    Google Scholar 

  19. S. S. Duhkin and N. N. Rulyov, Kolloidn. Zh. 39, 270 (1977).

    Google Scholar 

  20. S. S. Dukhin, N. N. Rulyov, and V. P. Semenov, Kolloidn. Zh. 41, 263 (1979).

    Google Scholar 

  21. S. S. Dukhin, Abh. Akad. Wiss DDR 1, 561 (1976).

    Google Scholar 

  22. B. V. Derjaguin, S. S. Dukhin, and N. N. Rulyov, Kolloidn. Zh. 39, 1051 (1977).

    Google Scholar 

  23. A. D. Scheludko, B. V. Toshev, and D. T. Bojadjev, J. Chem. Soc., Faraday Trans. I. 72, 2845 (1976).

    Article  Google Scholar 

  24. R. W. Huddleston and A. L. Smith, 10th Int. Conf Soc. Chem. Ind., Brunel Univ., 1975.

    Google Scholar 

  25. B. V. Derjaguin, Kolloid.-Z. 69, 155 (1934).

    Article  Google Scholar 

  26. B. V. Derjaguin, Kolloidn. Zh. 16 425 (1954).

    Google Scholar 

  27. B. V. Derjaguin, Izv. Akad. Nauk SSSR, Ser. Khim. 5, 1153, (1937).

    Google Scholar 

  28. B. V. Derjaguin and N. I. Kusakov, Izv. Akad. Nauk SSSR, Ser. Khim. 5, 1119 (1937).

    Google Scholar 

  29. B. V. Derjaguin and L. D. Landau, Zh. Eksp. Teor. Fiz. 15, 663 (1945).

    Google Scholar 

  30. E. J. W. Verwey and J. Th. G. Overbeek, Theory of the Stability of Lyophobic Colloids, Elsevier, Amsterdam, 1948.

    Google Scholar 

  31. A. N. Frumkin and A. V. Gorodetskaja, Acta Physicochim. USSR 9, 327 (1938).

    Google Scholar 

  32. I. Langmuir, Science 88, 430 (1938).

    Article  Google Scholar 

  33. B. V. Derjaguin and N. D. Shukakidse, Dokl. Akad. Nauk SSSR 134 376 (1960; Bull. IMM No. 656, (1961); Trans. IMM 70 569 (1960–1961).

    Google Scholar 

  34. A. S. Joy and A. I. Robinson, in Recent Progress in Surface Science, Vol. 2, Academic Press, New York, 1964, p. 169.

    Google Scholar 

  35. S. Usui, in Progress in Surface and Membrane Science, Vol. 5, Academic Press, New York, 1972, p. 233.

    Google Scholar 

  36. S. R. Rao, Minerals Sci. Eng. 6, 45 (1974).

    Google Scholar 

  37. M. J. Jaycock and R. N. Ottewil, Trans. IMM 72, 497 (1963).

    Google Scholar 

  38. A. J. Rubin and S. C. Lackay, J. Amer. Water Works Assoc. 10, 1156 (1968).

    Google Scholar 

  39. D. G. Devivo and B. L. Karger, Sep. Sci. 5, 145 (1970).

    Article  Google Scholar 

  40. C. L. Collins and G. L. Jameson, Chem. Eng. Sci. 32, 239 (1977).

    Article  Google Scholar 

  41. B. V. Derjaguin and N. V. Churaev, Croat. Chem. Acta 50, 187 (1970).

    Google Scholar 

  42. B. V. Derjaguin and N. V. Churaev, J. Colloid Interface Sci. 49, 249 (1974).

    Article  Google Scholar 

  43. B. V. Derjaguin, Chem. Scr. 9, 97 (1976).

    Google Scholar 

  44. J. Laskowski and J. Kitchener, J. Colloid Interface Sci. 29, 670 (1969).

    Article  Google Scholar 

  45. N. F. Dibbs, L. L. Sireis, and R. Bredin, Department of Energy, Mine and Resources, Ottawa, Research Rep. R 248, 1972.

    Google Scholar 

  46. H. J. Schulze and C. Cichos, Z. Phys. Chem. 251, 252 (1972).

    Google Scholar 

  47. H. J. Schulze and C. Cichos, Mitt. Forschungsinstitut für Aufbereitung, Freiberg, pp. 7–27, 1972.

    Google Scholar 

  48. A. Bleier, E. D. Goddard, and R. D. Kulkarni, J. Colloid Interface Sci. 59, 490 (1977).

    Article  Google Scholar 

  49. J. Langmuir and K. Blodgett, Mathematical Investigation of Water Droplet Trajectories, Gen. Elec. Comp. Rep., July, 1945.

    Google Scholar 

  50. L. I. Levin, Research into the Physics of Coarsely Disperse Aerosols, Isd. Akad. Nauk SSSR, Moscow, 1961, p. 267.

    Google Scholar 

  51. A. Fonda and H. Herne, Nat. Coal. Board, M. R. E., Rep. 2068, in Aerosol Science, C. N. Davies (ed.), Academic Press, New York, 1966, p. 393.

    Google Scholar 

  52. V. D. Samygin, B. S. Chertilin, and V. P. Nebera, Kolloidn. Zh. 39, 1101 (1977).

    Google Scholar 

  53. K. L. Sutherland, J. Phys. Chem. 58, 394 (1948).

    Article  Google Scholar 

  54. S. Okazaki, Bull. Chem. Soc. Japan 37, 144 (1964).

    Article  Google Scholar 

  55. D. Reay and G. A. Ratcliff, Can. J. Chem. Eng. 51, 178 (1973).

    Article  Google Scholar 

  56. S. L. Goren and M. E. O’Neill, Chem. Eng. Sci. 25, 325 (1971).

    Google Scholar 

  57. B. V. Derjaguin and Z. M. Zorin, Zh. Fiz. Khim. 29, 1755 (1955).

    Google Scholar 

  58. N. V. Churaev, “Properties of the Wetting Films of Liquids,” in Surface Forces in Thin Films and Stability of Colloids, B. V. Derjaguin (ed.), Nauka, Moscow, 1974, p. 81.

    Google Scholar 

  59. J. Mahanty and B. V. Ninham, Dispersion Forces, Academic Press, New York, 1976.

    Google Scholar 

  60. B. V. Derjaguin, N. I. Rulev, and S. S. Dukhin, Kolloidn. Zh. 39, 680 (1977).

    Google Scholar 

  61. J. P. Anfruns and J. A. Kitchener, The Absolute Rate of Capture of Single Particles by Single Bubbles, Flotation, A. M. Gaudin Memorial, Vol. 2, M. G. Fuerstenau (ed.), American Institute of Chemistry, New York, 1976.

    Google Scholar 

  62. A. E. Hamielec and A. I. Johnson, Can. J. Chem. Eng. 40, 41 (1962).

    Article  Google Scholar 

  63. A. E. Hamielec, S. H. Storey, and J. M. Whitehead, Can. J. Chem. Eng. 41, 216 (1963).

    Article  Google Scholar 

  64. L. R. Flint and A. Howarth, Chem. Eng. Sci. 26, 1155 (1971).

    Article  Google Scholar 

  65. D. Reay and G. A. Ratcliff, Can. J. Chem. Eng. 53, 481 (1975).

    Article  Google Scholar 

  66. B. V. Derjaguin and N. M. Kudryavtseva, Kolloidn. Zh. 26, 61 (1964).

    Google Scholar 

  67. J. Th. G. Overbeek, J. Colloid Interface Sci. 58, 408 (1977).

    Article  Google Scholar 

  68. G. A. Martinov and V. Muller, in Surface Forces in Thin Films and Disperse Systems, B. V. Derjaguin (ed.), Nauka, Moscow, 1972, p. 7.

    Google Scholar 

  69. A. N. Frumkin and V. G. Levich, Zh. Fiz. Khim. 21, 1183 (1947).

    Google Scholar 

  70. R. M. Grifith, Chem. Eng. Sci. 17, 1057 (1962).

    Article  Google Scholar 

  71. S. S. Dukhin, Doctor’s thesis, the Institute of Physical Chemistry of the Academy of Sciences of the U.S.S.R., Moscow, 1965.

    Google Scholar 

  72. S. S. Dukhin and M. V. Buykov, Zh. Fiz. Khim. 39, 913 (1965).

    Google Scholar 

  73. J. E. B. Randles, Phys. Chem. Liquids 2, 107 (1977).

    Article  Google Scholar 

  74. J. Lopis, in Modern Aspects of Electrochemistry, J. O’M Bockris and B. E. Conway (eds.), Vol. 6, Plenum Press, New York, 1971.

    Google Scholar 

  75. S. Okazaki, Kolloid-Z. Z. Polym. 185, 154 (1962).

    Article  Google Scholar 

  76. D. Ekserova and M. Zakharieva, in Research in Surface Forces, Vol. 4, B. V. Derjaguin (ed.), Consultants Bureau, New York, 1975, p. 253.

    Google Scholar 

  77. S. S. Dukhin, in Research in Surface Forces, Vol. 2, B. V. Derjaguin (ed.), Consultants Bureau, New York, 1966, p. 54.

    Google Scholar 

  78. S. S. Dukhin and B. V. Derjaguin, Electrophoresis, Nauka, Moscow, 1976.

    Google Scholar 

  79. S. S. Dukhin and B. V. Derjaguin, Kolloidn. Zh. 20, 705 (1958).

    Google Scholar 

  80. J. P. Anfruns and J. A. Kitchener, Trans. IMM 86, C9 - C15 (March 1977).

    Google Scholar 

  81. S. S. Dukhin, in Research in Surface Forces, Vol. 1, B. V. Derjaguin (ed.), Consultants Bureau, New York, 1963, p. 27.

    Google Scholar 

  82. B. V. Derjaguin, S. S. Dukhin, Z. P. Ulberg, and T. V. Kuznetsova, Kolloidn. Zh. 42, 464 (1980).

    Google Scholar 

  83. B. V. Derjaguin, S. S. Dukhin, and A. A. Korotkova, Kolloidn. Zh. 23, 409 (1961).

    Google Scholar 

  84. S. S. Dukhin and M. V. Bouykov, Zh. Fiz. Khim. 38, 3011 (1964).

    Google Scholar 

  85. S. S. Dukhin, in The Modern Theory of Capillarity, F. G. Goodrich and A. I. Rusanov (eds.), Akademie Verlag, Berlin, 1981.

    Google Scholar 

  86. S. S. Dukhin, Trans. 7th Int. Congress Surfactants, Vol. 2, Moscow, 1978, p. 1144.

    Google Scholar 

  87. L. E. Ewans and W. E. Ewers, Recent Developments in Mineral Dressing, Inst. Mining. Met., London, 1963, p. 457.

    Google Scholar 

  88. L. F. Ewans, Ind. Eng. Chem. 46, 420 (1954).

    Google Scholar 

  89. S. S. Dukhin, Kolloidn. Zh. 33, 408 (1961).

    Google Scholar 

  90. K. F. Beloglazov, Basic Laws of the Flotation Process, Trans. Leningrad Mining Inst. (in Russian) Metallurgizdat, 1956.

    Google Scholar 

  91. H. Brenner, Chem. Eng. Sci. 16, 242 (1961).

    Article  Google Scholar 

  92. M. Stimson and G. B. Jeffrey, Proc. Roy. Soc. London A110, 1117 (1926).

    Google Scholar 

  93. E. Ruckenstein and D. C. Prieve, J. Chem. Soc., Faraday Trans. II 69, 1522 (1973).

    Article  Google Scholar 

  94. L. A. Spielman and S. K. Fridlander, J. Colloid Interface Sci. 46, 22 (1974).

    Article  Google Scholar 

  95. N. N. Rulev, Kolloidn. Zh. 41, 327 (1979).

    Google Scholar 

  96. B. V. Derjaguin, M. A. Pavlikhina, and L. P. Smirnov, Kolloidn. Zh. 34, 762 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer Science+Business Media New York

About this chapter

Cite this chapter

Derjaguin, B.V., Dukhin, S.S., Rulyov, N.N. (1984). Kinetic Theory of Flotation of Small Particles. In: Matijević, E., Good, R.J. (eds) Surface and Colloid Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7972-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7972-4_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7974-8

  • Online ISBN: 978-1-4615-7972-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics