Nadutyy V. P.,Yeliseyev V. I.,Lutsenko V. I. Power characteristics of liquid bridge. numerical and asymptotic solutions

Geoteh. meh. 2015, 125, 202-215

POWER CHARACTERISTICS OF LIQUID BRIDGE. NUMERICAL AND ASYMPTOTIC SOLUTIONS

1Nadutyy V. P., 1Yeliseyev V. I., 1Lutsenko V. I.
1IGTM NAS of Ukraine

UDC 532.6: 622.7

Abstract. This paper addresses the capillary forces occurred in the liquid bridge between a solid particle and the wall when relative position of the particles is changed. This phenomenon is considered in the quasi-static approximation. It is shown that a changed position of the particle relatively to the wall leads to occurrence of additional forces and moments of force which could be both positive and negative. In order the particles could remain on the surface of the wall the bridge should have such geometrical characteristics, which would correspond to certain positive resultant retentivity. Calculations have shown that at small displacements and turnings of the particle, additional forces occur in the liquid bridge which force the particle to return to its equilibrium position. Furthermore, at relatively small elongation the liquid bridge behaves like an elastic spring. This property of the liquid bridges can be used for modeling dynamic loads on the wet dispersive media.
Keywords: Keywords: dispersive medium, dehydration, particle, capillary forces, surface tension, moment.

REFERENCES

1. Lapshin, E.S. and Shevchenko A.I. (2012), “Determination of the specific energy required for the dehydration of minerals in vibratory screening”, Zbagachennya korysnykh kopalyn, issue 50(90), pp. 179-186.
2. Kralchevsky, P. A. and Nagayama K. (2001), Particles at Fluid Interfaces and Membranes, Amsterdam: Elsevier.
3. Yeliseyev, V.I., Lutsenko, V.I., Kravchina, S.G. and Krivokorytov, A.V. (2012), “Vibration effects in the wet loose layer”, Geotekhnicheskaya Mekhanika [Geo-Technical Mechanics], no. 107, pp. 250-256.
4. Nadutyy, V.P., Yeliseyev, V.I. and Lutsenko, V.I. (2013), “The effect of move up of wet particles in a vertical vibrating tube”, Vibratsii v tekhnitsi ta tekhnologiyakh, no. 1(69), pp. 31-36.
5. Summ, B.D. (2009), Osnovy kolloidnoy khimii [Fundamentals of colloidal chemistry], 3nd ed., Akademiya, Moscow, RU.
6. Benilov, E.S. and Billingam, J. (2011), “Drops climbing uphill on an oscillating substrate”, J. Fluid Mech, vol. 674, pp. 93-119.
7. Nadutyy, V.P., Yeliseyev, V.I., Lutsenko, V.I. and Khmelenko, I.P. (2008), “Determination of the conditions of the equilibrium state of the particle, which hangs on the liquid bridge”, Naukovyi visnyk Natsionalnogoghirnychoho universytetu, no. 10, pp. 46-49.
8. Volkov, V.I., Leskova, S.S. and Kirkolup, E.R. (2006), “Experimental study of wetting hysteresis”, Izvestiya Altayskogo gos. un-ta [AltGU], Barnaul, Russia, issue 49, no. 1, pp. 106-111.
9. Smirnov, V.I. (2008), Kurs vysshey matematiki [Course of higher mathematics], 24nd ed., BKHV-Peterburg, SPb., RU.

 About the authors:

Nadutyy Vladimir Petrovich, Doctor of Technical Sciences (D.Sc.), Professor, Head of Department of Mechanics of Mineral Processing Machines and Processes, N. S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Science of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Yeliseyev Vladimir Ivanovich, Candidate of Physics and Mathematics Sciences (Ph.D.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, N. S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Science of Ukraine (IGTM, NASU), Dnepropetrovsk

Lutsenko Vasiliy Ivanovich, Candidate of Technical Sciences (Ph.D.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, N. S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Science of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine. This email address is being protected from spambots. You need JavaScript enabled to view it.