TY - JOUR

T1 - The Particle–Bubble Behavior in Flotation in Low-Viscous Liquid

AU - Kondrat’ev, S. A.

AU - Moshkin, N. P.

PY - 2024/2

Y1 - 2024/2

N2 - The authors discuss dynamics of gas bubble and mineral particle in low-viscous fluid. The particle–bubble interaction model represents a system of associated differential algebraic equations. Dynamics of the disturbed system is described using the Lagrangian method. The model takes into account oscillations of bubble surface and attached solid cylindrical particle in the infinitive volume of perfect incompressible liquid. The capillary force retaining the particle on the bubble is governed by the meniscus shape which conditions the wetting angle. The Legendre series expansion is used to represent small axially symmetrical oscillations of the particle–bubble system. The potential and kinetic energies of the system are expressed in terms of the coefficient of this series. The resultant eddy-free velocity field allows including the viscosity effect with regard to the local rates of energy dissipation.

AB - The authors discuss dynamics of gas bubble and mineral particle in low-viscous fluid. The particle–bubble interaction model represents a system of associated differential algebraic equations. Dynamics of the disturbed system is described using the Lagrangian method. The model takes into account oscillations of bubble surface and attached solid cylindrical particle in the infinitive volume of perfect incompressible liquid. The capillary force retaining the particle on the bubble is governed by the meniscus shape which conditions the wetting angle. The Legendre series expansion is used to represent small axially symmetrical oscillations of the particle–bubble system. The potential and kinetic energies of the system are expressed in terms of the coefficient of this series. The resultant eddy-free velocity field allows including the viscosity effect with regard to the local rates of energy dissipation.

KW - flotation

KW - gas bubble

KW - gas bubble surface oscillations

KW - mineral particle

KW - viscous liquid

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85197446116&origin=inward&txGid=1516bac774eaa2fceeae0342f449bf61

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001261446400016

UR - https://www.mendeley.com/catalogue/22fd6ce9-9e51-3d96-a030-d30066a29394/

U2 - 10.1134/S1062739124010150

DO - 10.1134/S1062739124010150

M3 - Article

VL - 60

SP - 133

EP - 143

JO - Journal of Mining Science

JF - Journal of Mining Science

SN - 1062-7391

IS - 1

ER -