Open AccessMathematical modeling of heavy particle concentration in a jig bed
Author(s) -
E.S. Sleptsova,
B.N. Yakovlev
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/773/1/012081
Subject(s) - brownian motion , particle (ecology) , mechanics , kinetic energy , radius , classical mechanics , amplitude , physics , statistical physics , geology , optics , computer science , oceanography , computer security , quantum mechanics
The mathematical model for motion of heavy particles surrounded with grains in a jig is proposed in the present paper. The grains are modeled by balls of a certain radius. The statistical approach to the process description is considered. The Brownian particle motion model is used, where the researchers consider and take into account the kinetic energy of grains surrounding the bead of a heavy particle moving under the influence and power of the vibrating jig, rather than the kinetic energy of the random thermal motion of the molecules bombarding the Brownian particle. This force depends on the amplitude and frequency, being, the parameters of the jigging cycles. The mathematical modeling allowed derivation of the Fokker-Planck-type equation for fractions distributed by density in the jig chamber. The dynamic curves for distribution of heavy grains along the height of a jig bed are obtained.