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THEORY OF PROCESSES
ArticleName Toward a theory of vibrational segregation
ArticleAuthor Blekhman I. I., Vaisberg L. А.
ArticleAuthorData

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

Abstract

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).

keywords Flowing medium, vibration, segregation, process rate, experiment
References

1. Blekhman I. I. Vibrational mechanics — nonlinear dynamic effects, general approach, applications. Singapore et al., World Scientific, 2000, 509 p.
2. Blekhman I. I., Dzhanelidze G. Yu. Vibratsionnoye peremeshcheniye (Vibrational displacement). Moscow, Nauka, 1964, 410 p.
3. Blekhman L. I. On vibratory buoyancy force and vibratory buoyancy. Obogashchenie Rud, 2013, No. 4, pp. 21–29.
4. Vibratsii v tekhnike. Spravochnik v 6 tt. (Vibration in technique. Reference book in 6 volumes). Moscow, Mashinostroyeniye, 1978–1981, Vol. 4, 509 p.
5. Arsentyev V. A., Blekhman I. I., Blekhman L. I., Vaysberg L. A., Ivanov K. S., Krivtsov A. M. Dynamics of particles and discrete element methods as a tool of studies and optimization of natural and man-made materials processing. Obogashchenie Rud, 2010, No. 1, pp. 30–35.
6. Nadutyy V. P., Lapshin Ye. S. Veroyatnostnyye protsessy vibratsionnoy klassifikatsii mineralnogo syrya (Stochastic processes of minerals vibrational classification). Kiev, Naukova dumka, 2005, 180 p.
7. Rhodes M., Takeuchi S., Liffman K., Muniandy K. The role of interstitial gas in the Brazil nut effect. Granular Matter, 2003, Vol. 5, Iss. 3, pp. 107–114.
8. Chlenov V. A., Mikhaylov N. V. Vibrokipyashchiy sloy (Vibrofluidized bed). Moscow, Nauka, 1972, 343 p.
9. Aranson I. S., Tsimring L. S. Patterns and collective behavior in granular media: Theoretical concepts. Reviews of Modern Physics, 2006, Vol. 78, pp. 641–692.
10. Dippel S., Luding S. Simulations on size segregation: geometrical effects in the absence of convection. Journal de Physique I France, 1995, Vol. 5, No. 12, pp. 1527–1537. URL: http://www2.msm.ctw.utwente.nl/sluding/PAPERS/dippel_seg.pdf.
11. IUTAM Symposium on segregation in granular flows. Proc. of the IUTAM Symp. held in Cape May, NJ, USA. June 5–10, 1999. Edition 1 / By A. D. Rosato and D. L. Blackmore (Editors). Dordrecht, The Netherlands, Kluwer Academic Publishers, 2000, 348 p. URL: http://download.springer.com/static/pdf/393/bok%253A978-94-015-9498-1.pdf?auth66=1392978133_e36fd68a8f1ab2551ff6b103514788e4&ext=.pdf.
12. Knight J. B., Jaeger H. M., Nagel S. R. Vibration-induced size separation in granular media: the convection connection. Physical Review Letters, 1993, Vol. 70, No. 24, pp. 3728–3731.
13. Kudrolli A. Size separation in vibrated granular matter. Reports on Progress in Physics, 2004, Vol. 67, pp. 209–247. URL: http://physics.clarku.edu/~akudrolli/rpp4_3_R01.pdf.
14. Mayer F. W. Fundamentals of potential theory of the jigging process. Proc. of the VII International Mineral Processing Congress. New York, 1964, Part 2, pp. 75–97.
15. Levin B. V. On seismic mechanism of pushing boulders to the surface of the soil. Doklady AN SSSR = Proceedings of the USSR Academy of Sciences, 1990, Vol. 312, No. 2, pp. 332–334.
16. Levin B. V. Emergence of heavy ball in vibrating sand. Prikladnaya Mekhanika i Tekhnicheskaya Fizika = Journal of Applied Mechanics and Technical Physics, 1991, No. 3, pp. 83–87.

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