APPROXIMATE MATHEMATICAL MODEL OF LIQUID BRIDGE FORMATION BETWEEN PARTICLES IN THE LOOSE LAYER WHILE DEWATERING

Details

Parent Category: Geo-Technical Mechanics, 2014

Category: Collection of scientific papers «Geotekhnicheskaya Mekhanika» Issue 116

UDC 532.6: 622.7

Authors:

Nadutyy V.P., D.Sc. (Tech.), Professor

Yeliseev V.I., Ph. D.(Phys.-Math.), Senior Researcher

Lutsenko V.I., Ph.D. (Tech.), Senior Researcher (IGTM of NAS of Ukraine)

Abstract.

A physical model of creating of liquid bridge between the particles of particulate layer during dewatering is described. In accordance with this model, when the liquid level is lowered, two meniscus of a complex shape are formed around the solids due to the action of capillary forces. One of them is an upper meniscus between lateral surfaces of solids, which is a part of the surface of the liquid bridge under the study, and another is a lower meniscus between the solids and main descending liquid layer. Both feature peculiarities associated with the shape of limiting surfaces.

On the basis of hydrostatic equations, equilibrium positions of the liquid surface and conditions under which the bridge was formed were defined. It is found that at decreasing wetting angle the liquid bridge can be formed between particles located at a greater distance from each other. It is determined that in order the bridge is formed in dewatering conditions distance between the particles in the loose layer should not exceed a certain length, which is several times shorter than a critical length calculated by the theory of stability.

Keywords:

loose layer, particle, capillary forces, meniscus, liquid bridge, capillary tension

References:

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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.

Yeliseev 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, Ukraine.

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.

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