Mekhanobr-Tekhnika Research and Engineering Corporation (Russia):

Blekhman I. I., Doctor of Physics and Mathematics, Professor, Head of Laboratory, iliya.i.blekhman@gmail.com

Vaisberg L. А., Corresponding Member of the RAS, Doctor of Engineering Sciences, Professor, Scientific Advisor, gornyi@mtspb.com

This paper presents the main physical factors causing bulk material particles segregation under vibration. As a process model, particle motion in vibrating medium, consisting of foreign particles, is studied. Three cases of vibrating medium are considered: horizontal circular vibrations, horizontal rectilinear vibrations and vertical rectilinear vibrations. In each case, formulas are derived for consideration of an effect upon particle average velocity and direction of motion relative to medium (segregation rate), designated, as suggested, «wedge-effect» (in foreign publications certain manifestations of this effect are sometimes described as «Brazil nut effect»). Solution of nonlinear differential equations of particle motion is accomplished through vibratory mechanics approach and direct motion separation method. As a result, relationships are obtained that determine segregation direction and rate. The experimental results are presented.

The work was performed with the aid of the Russian Foundation of Fundamental Research (the Grants 14-08-00681 and 13-08-01201).

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