Effect of capillary pressure in nanobubbles on their adherence to particles during froth flotation. Part Four. Spreading nanobubbles – natural fractals
https://doi.org/10.17073/0021-3438-2016-4-4-12
Abstract
The article covers a specific property of nanobubbles – spontaneous spreading over a solid hydrophobic substrate-particle adhered to them due to high capillary gas pressure in nanobubbles (Pk > 106 N/m2 ). The calculation principle of bubble spreading curves was considered and the parameter X responsible for intensity was introduced. The relation X(а) (а – bubble base diameter) was represented by a bimodal curve confirming that the process of nanobubble spreading was energetically supported by two independent sources acting sequentially. The first source was conditioned by reduction (approximately by 11 %) of nanobubble curvilinear surface area at the initial stage of spreading, and the second one was conditioned by the work of gas expansion due to a drop in Pk during the bubble spreading. The parameter X value was characterized by a significantly larger slope of the relation X(а) at the initial stage of spreading as compared to the second stage. As it turned out, the property which was found to determine the efficiency of industrial flotation processes in the past, now regains its application perspective. Due to the fact that this property becomes apparent in a limited range of bubble sizes, it was suggested to be labeled as a physical (or natural) fractal by analogy with Brownian motion which becomes apparent in a certain range of particle sizes. The influence of flotation agent surface activity on the shape of bubble spreading curves was demonstrated.
About the Authors
V. I. Melik-Gaikazyan
South-West State University (SWSU)
Russian Federation
Russian Federation
Dr. Sci. (Chem.), Prof., Head of the Laboratory of surface phenomena and flotation,
305040, Kursk, 50 let Oktyabrya str., 94
V. S. Titov
SWSU
Russian Federation
Russian Federation
Dr. Sci. (Eng.), Prof., Head of the Department of computer science,
305040, Kursk, Chelyuskintsev str., 19/2
N. P. Emel'yanova
SWSU
Russian Federation
Cand. Sci. (Chem.), Associate Prof., Laboratory of surface phenomena and flotation
Russian Federation
Cand. Sci. (Chem.), Associate Prof., Laboratory of surface phenomena and flotation
D. V. Dolzhenkov
SWSU
Russian Federation
Graduate Student, Department of computer science
Russian Federation
Graduate Student, Department of computer science
References
1. Melik-Gaikazyan V.I., Emel’yanova N.P. Yushina T.I. Vliyanie kapillyarnogo davleniya v puzyr’kakh na ikh prilipanie k chastitsam pri pennoi flotatsii. Chast’ pervaya [Influence of capillary pressure in bubbles upon their sticking to particles at foamy flotation. Pt. 1]. Izv. vuzov. Tsvet. metallurgiya. 2013. No. 1. P. 3—12.
2. Melik-Gaikazyan V.I., Emel’yanova N.P. Yushina T.I. Vliyanie kapillyarnogo davleniya v puzyr’kakh na ikh prilipanie k chastitsam pri pennoi flotatsii. Chast’ vtoraya [Influence of capillary pressure in bubbles upon their sticking to particles at foamy flotation. Pt. 2]. Izv. vuzov. Tsvet. metallurgiya. 2013. No. 3. P. 7—12.
3. Melik-Gaikazyan V.I., Emel’yanova N.P., Dolzhenkov D.V. Vliyanie kapillyarnogo davleniya v puzyr’kakh na ikh prilipanie k chastitsam pri pennoi flotatsii. Chast’ tret’ya [Influence of capillary pressure in bubbles upon their sticking to particles at foamy flotation. Pt. 3]. Izv. vuzov. Tsvet. metallurgiya. 2014. No. 3. P. 3—10.
4. Melik-Gaikazyan V.I., Emel’yanova N.P., Kozlov P.S., Yushina T.I, Lipnaya E.N. K issledovaniyu protsessa pennoi flotatsii i podboru reagentov na osnove mekhanizma ikh deistviya. Soobshchenie 1. Obosnovanie vybrannykh metodov issledovaniya protsessa [To research of process of foamy flotation and selection of reagents on the basis of the mechanism of their action. Message 1. Justification of the chosen process research methods]. Izv. vuzov. Tsvet. metallurgiya. 2009. No. 2. P. 7—18.
5. Hoover T.J. Concentrating ores by flotation. 3-rd ed. London: The Mining Magazine, 1916.
6. Sazerlend K.L., Uork I.V. Printsipy flotatsii [Principles of flotation]. Moscow: Metallurgizdat, 1958.
7. Edser E. The concentration of minerals by flotation // fourth report on colloid chemistry and its general and industrial applications. London: Majesty’s Stationery Office, 1922. P. 263—326.
8. Bashforth F., Adams J.C. An attempt to test the theories of capillary action by comparing the theoretical and measured forms of drops of fluids. Cambridge: Univercity Press, 1883.
9. Bogdanov O.S., Gol’man A.M., Kakovskii I.A., Klassen V.I., Melik-Gaikazjаn V.I., Rjаboi V.I., Solozhenkin P.M., Chanturijа V.A. Fiziko-khimicheskie osnovy teorii flotatsii [Physical and chemical bases of the theory of flotation]. Moscow: Nauka, 1983.
10. Melik-Gaikazyan V.I., Emel’yanova N.P., Yushina T.I. Metody resheniya zadach teorii i praktiki flotatsii [Methods of the solution of tasks of the theory and practice of flotation]. Moscow: Gornaya kniga, 2013.
11. Rakovskii A.V. Kurs fizicheskoi khimii [Course of physical chemistry]. Moscow: Gostekhizdat, 1939.
12. Papaleksi N.D., Andreev N.N., Rzhevskii S.N., Gorelik G.S. Kurs fiziki [Physics course]. Vol. 1. Moscow-Leningrad: OGIZ, 1948.
13. Nanobubbles exist, and are more stable than previously thought. URL: http://www.physorg.com/news94728858.html (accessed 28.04.2015).
14. Lenindzher A.L. Osnovy biokhimii [Fundamentals of biochemistry]. Moscow: Mir, 1985.
15. Mandel’brot B. Fraktal’naya geometriya prirody. Moscow—Izhevsk: Institute of computer science, 2002.
16. Pockels A.T. Surface tension. Nature. 1891. Vol. 43. No. 1115. P. 437—439.
17. Devaux H.E. Oil films on water and on mercury. Annual Rep. Smithson. Inst. 1913. P. 261—273.
18. Langmuir I. The constitution and fundamental properties of solids and liquids. II. Liquids. J. Amer. Chem. Soc. 1917. Vol. XXXIX. No. 9. P. 1848—1906.
19. George L., Gaines JR. The history of Langmuir-Blodgett films. Thin Solid Films (Int. J. Sci. Technol. Thin Thick Films). 1983. Vol. 99. No. 1/2/3. P. 9—13.
20. Adam N.K. Fizikokhimiya poverkhnostei [Physical chemistry of surfaces]. Moscow-Leningrad: Gostekhizdat, 1947.
21. Melik-Gaikazyan V.I., Abramov A.A., Rubinshtein Yu.B., Avdohin V.M., Solozhenkin P.M. Metody issledovaniya flotatsionnogo protsessa [Methods of research of floatation process]. Moscow: Nedra, 1990.
Review
For citations:
Melik-Gaikazyan V.I., Titov V.S., Emel'yanova N.P., Dolzhenkov D.V. Effect of capillary pressure in nanobubbles on their adherence to particles during froth flotation. Part Four. Spreading nanobubbles – natural fractals. Izvestiya. Non-Ferrous Metallurgy. 2016;(4):4-12. (In Russ.) https://doi.org/10.17073/0021-3438-2016-4-4-12
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