Establishing the conditions for the formation of a near-wall layer of solid granular fill of a rotating drum

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.240194

Keywords:

drum-roll mill, non-loose granular fill, formation of a wall layer, rheological hysteresis

Abstract

This paper reports the assessment of the influence of dynamic motion parameters on the formation and disappearance at the cylindrical surface of the chamber of the rotating drum of the near-wall layer of non-loose granular fill.

Based on the results of experimental visualization of the flow, the effect of solidity on the behavior of granular fill was revealed. The hydrodynamic effect of fill quasi-liquefaction under the action of solidity has been established, which involves the occurrence of a connecting interaction between adjacent layers and the surface of the chamber. Conversion of shear circulation flow to homogeneous dense clustered stream with slipping and rolling without relative movement of particles was detected.

The hydrodynamic characteristics of circulation flow transition to the near-wall layer mode during rotation acceleration have been defined. Such a transition is implemented by smoothly increasing the thickness of the layer when the rest of the fill is circulated at the bottom of the chamber.

The effect of the rheological hysteresis of the movement of the rotating chamber fill, caused by quasi-liquefaction of non-loose granular environment, has been established. The effect implies exceeding the speed limit ωfl in the formation of a near-wall layer, at rotation acceleration, above the boundary ωdl of the layer disappearance when the rotation slows down. The manifestation of hysteresis mainly increases with an increase in Reynolds number. The intensity of increased hysteresis manifestation increases with a decrease in the degree of filling the chamber. The value of the Froud number for the ωfl and ωdl boundaries increases with the increase in Re. It has been established that at the relative particle size of the dispersed fill ψdc≈(0.065–1.04)·10‑3 and Re=30–500, Fr=1–2.9, for the ωfl boundary, and Fr=0.5–1.4, for the ωdl boundary. The Fr value for the ωfl limit was found to exceed this value for the ωdl boundary by 1.6–2.1 times.

The established effects make it possible to substantiate the rational parameters for the grinding process in drum-roll mills

Author Biographies

Yuriy Naumenko, National University of Water and Environmental Engineering

Doctor of Technical Sciences, Associate Professor

Department of Construction, Road, Reclamation, Agricultural Machines and Equipment

Kateryna Deineka, National University of Water and Environmental Engineering

PhD

Rivne Technical Vocational College

Tamara Myronenko, National University of Water and Environmental Engineering

Rivne Technical Vocational College

References

  1. Chen, Y. Q., Li, X. X., Sun, G. Y. (2015). Reviewing on the working mechanism of horizontal roller mill based on the rule of layer material crushing. 2015 4th International Conference on Computer Science and Network Technology (ICCSNT), 1534–1536. doi: https://doi.org/10.1109/iccsnt.2015.7491021
  2. Brewster, R., Grest, G. S., Levine, A. J. (2009). Effects of cohesion on the surface angle and velocity profiles of granular material in a rotating drum. Physical Review E, 79 (1). doi: https://doi.org/10.1103/physreve.79.011305
  3. Liu, P. Y., Yang, R. Y., Yu, A. B. (2011). Dynamics of wet particles in rotating drums: Effect of liquid surface tension. Physics of Fluids, 23 (1), 013304. doi: https://doi.org/10.1063/1.3543916
  4. Kasper, J. H., Magnanimo, V., Jarray, A. (2019). Dynamics of discrete wet granular avalanches in a rotary drum. Proceedings of the 8th International Conference on Discrete Element Methods (DEM8). Available at: https://mercurylab.co.uk/dem8/wp-content/uploads/sites/4/2019/07/99.pdf
  5. Kasper, J. H., Magnanimo, V., de Jong, S. D. M., Beek, A., Jarray, A. (2021). Effect of viscosity on the avalanche dynamics and flow transition of wet granular matter. Particuology. doi: https://doi.org/10.1016/j.partic.2020.12.001
  6. Hagen, T., Luding, S., van der Meer, D., Magnanimo, V., Jarray, A. (2021). Liquid migration in flowing granular materials. EPJ Web of Conferences, 249, 09001. doi: https://doi.org/10.1051/epjconf/202124909001
  7. Xu, Q., Orpe, A. V., Kudrolli, A. (2007). Lubrication effects on the flow of wet granular materials. Physical Review E, 76 (3). doi: https://doi.org/10.1103/physreve.76.031302
  8. Wojtkowski, M., Imole, O. I., Ramaioli, M., Chávez Montes, E., Luding, S. (2013). Behavior of cohesive powder in rotating drums. AIP Conference Proceedings, 1542, 983. doi: https://doi.org/10.1063/1.4812098
  9. Jarray, A., Magnanimo, V., Ramaioli, M., Luding, S. (2017). Scaling of wet granular flows in a rotating drum. EPJ Web of Conferences, 140, 03078. doi: https://doi.org/10.1051/epjconf/201714003078
  10. Jarray, A., Magnanimo, V., Luding, S. (2019). Wet granular flow control through liquid induced cohesion. Powder Technology, 341, 126–139. doi: https://doi.org/10.1016/j.powtec.2018.02.045
  11. Mellmann, J. (2001). The transverse motion of solids in rotating cylinders – forms of motion and transition behavior. Powder Technology, 118 (3), 251–270. doi: https://doi.org/10.1016/s0032-5910(00)00402-2
  12. Watanabe, H. (1999). Critical rotation speed for ball-milling. Powder Technology, 104 (1), 95–99. doi: https://doi.org/10.1016/s0032-5910(99)00031-5
  13. Juarez, G., Chen, P., Lueptow, R. M. (2011). Transition to centrifuging granular flow in rotating tumblers: a modified Froude number. New Journal of Physics, 13 (5), 053055. doi: https://doi.org/10.1088/1367-2630/13/5/053055
  14. Benedito, W. M., Duarte, C. R., Barrozo, M. A. S., Santos, D. A. (2021). Cataracting-centrifuging transition investigation using nonspherical and spherical particles in a rotary drum through CFD simulations. Particuology. doi: https://doi.org/10.1016/j.partic.2021.03.012
  15. Naumenko, Y. (2017). Modeling a flow pattern of the granular fill in the cross section of a rotating chamber. Eastern-European Journal of Enterprise Technologies, 5 (1 (89)), 59–69. doi: https://doi.org/10.15587/1729-4061.2017.110444
  16. Naumenko, Y. (2017). Modeling of fracture surface of the quasi solid-body zone of motion of the granular fill in a rotating chamber. Eastern-European Journal of Enterprise Technologies, 2 (1 (86)), 50–57. doi: https://doi.org/10.15587/1729-4061.2017.96447
  17. Naumenko, Y., Sivko, V. (2017). The rotating chamber granular fill shear layer flow simulation. Eastern-European Journal of Enterprise Technologies, 4 (7 (88)), 57–64. doi: https://doi.org/10.15587/1729-4061.2017.107242
  18. Naumenko, Y. V. (2000). Stability of the tubular layer of a deformed material in a rotating horizontal cylinder. Journal of Applied Mechanics and Technical Physics, 41 (1), 108–114. doi: https://doi.org/10.1007/bf02465244
  19. Naumenko, Y. V. (1993). Velocity regimes of motion of a viscous liquid in a horizontal rotating cylinder. Journal of Engineering Physics and Thermophysics, 64 (5), 453–459. doi: https://doi.org/10.1007/bf00862634
  20. Naumenko, Y. V. (1996). Stability of a Tube of a Viscous Fluid in a Horizontal Rotating Cylinder. International Journal of Fluid Mechanics Research, 23 (3-4), 271–277. doi: https://doi.org/10.1615/interjfluidmechres.v23.i3-4.100
  21. White, R. E. (1956). Residual condensate, condensate behaviour, and siphoning in paper driers. Technical Association of the Pulp and Paper Industry, 39, 228.
  22. White, R. E., Higgins, T. W. (1958). Effect of fluid properties on condensate behaviour. Technical Association of the Pulp and Paper Industry, 41 (2), 71–76.
  23. Preziosi, L., Joseph, D. D. (1988). The run-off condition for coating and rimming flows. Journal of Fluid Mechanics, 187, 99–113. doi: https://doi.org/10.1017/s0022112088000357
  24. Johnson, R. E. (1988). Steady-state coating flows inside a rotating horizontal cylinder. Journal of Fluid Mechanics, 190, 321–342. doi: https://doi.org/10.1017/s0022112088001338
  25. Chew, J. W. (1996). Analysis of the oil film on the inside surface of an aero-engine bearing chamber housing. ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition, 96-GT-300, V001T01A082. doi: https://doi.org/10.1115/96-gt-300
  26. Thoroddsen, S. T., Mahadevan, L. (1997). Experimental study of coating flows in a partially-filled horizontally Rotating cylinder. Experiments in Fluids, 23 (1), 1–13. doi: https://doi.org/10.1007/s003480050080
  27. Ivanova, A. A., Kozlov, V. G., Chigrakov, A. V. (2004). Dynamics of a Fluid in a Rotating Horizontal Cylinder. Fluid Dynamics, 39 (4), 594–604. doi: https://doi.org/10.1023/b:flui.0000045675.82694.6c
  28. Naumenko, Y. V. (2004). The Regime Hysteresis of Viscous Flow with Free Surface in Rotating Horizontal Cylinder. International Journal of Fluid Mechanics Research, 31 (4), 358–368. doi: https://doi.org/10.1615/interjfluidmechres.v31.i4.50
  29. Phillips, O. M. (1960). Centrifugal waves. Journal of Fluid Mechanics, 7 (3), 340–352. doi: https://doi.org/10.1017/s0022112060000128
  30. Naumenko, Yu. V. (2001). Numerical calculation of the flow regimes of a fluid partially filling a horizontal rotating heat‐exchange cylinder. Journal of Engineering Physics and Thermophysics, 74, 736–744. doi: https://doi.org/10.1023/A:1016728915801
  31. Deiber, J. A., Cerro, R. L. (1976). Viscous Flow with a Free Surface Inside a Horizontal Rotating Drum. I. Hydrodynamics. Industrial & Engineering Chemistry Fundamentals, 15 (2), 102–110. doi: https://doi.org/10.1021/i160058a004
  32. Seiden, G., Thomas, P. J. (2011). Complexity, segregation, and pattern formation in rotating-drum flows. Reviews of Modern Physics, 83 (4), 1323–1365. doi: https://doi.org/10.1103/revmodphys.83.1323
  33. Breu, A. P. J., Kruelle, C. A., Rehberg, I. (2003). Pattern formation in a rotating aqueous suspension. Europhysics Letters (EPL), 62 (4), 491–497. doi: https://doi.org/10.1209/epl/i2003-00379-x
  34. Govender, I. (2016). Granular flows in rotating drums: A rheological perspective. Minerals Engineering, 92, 168–175. doi: https://doi.org/10.1016/j.mineng.2016.03.021
  35. On dense granular flows (2004). The European Physical Journal E, 14 (4), 341–365. doi: https://doi.org/10.1140/epje/i2003-10153-0
  36. Forterre, Y., Pouliquen, O. (2008). Flows of Dense Granular Media. Annual Review of Fluid Mechanics, 40 (1), 1–24. doi: https://doi.org/10.1146/annurev.fluid.40.111406.102142
  37. Aranson, I. S., Tsimring, L. S. (2002). Continuum theory of partially fluidized granular flows. Physical Review E, 65 (6). doi: https://doi.org/10.1103/physreve.65.061303
  38. Ouyang, H. W., Huang, L. H., Cheng, L., Huang, S. C., Wang, Q., Liu, Z. M., Zhang, X. (2013). Behavior of hysteretic transition of granular flow regimes in a slow rotating drum. Materials Science and Engineering of Powder Metallurgy, 18 (2), 155–162.
  39. Balmforth, N. J., McElwaine, J. N. (2018). From episodic avalanching to continuous flow in a granular drum. Granular Matter, 20 (3). doi: https://doi.org/10.1007/s10035-018-0822-1
  40. Perrin, H., Clavaud, C., Wyart, M., Metzger, B., Forterre, Y. (2019). Interparticle Friction Leads to Nonmonotonic Flow Curves and Hysteresis in Viscous Suspensions. Physical Review X, 9 (3). doi: https://doi.org/10.1103/physrevx.9.031027
  41. Santos, D. A., Scatena, R., Duarte, C. R., Barrozo, M. A. S. (2016). Transition phenomenon investigation between different flow regimes in a rotary drum. Brazilian Journal of Chemical Engineering, 33 (3), 491–501. doi: https://doi.org/10.1590/0104-6632.20160333s20150128
  42. Chou, S. H., Hsiau, S. S. (2011). Experimental analysis of the dynamic properties of wet granular matter in a rotating drum. Powder Technology, 214 (3), 491–499. doi: https://doi.org/10.1016/j.powtec.2011.09.010
  43. Tegzes, P., Vicsek, T., Schiffer, P. (2002). Avalanche Dynamics in Wet Granular Materials. Physical Review Letters, 89 (9). doi: https://doi.org/10.1103/physrevlett.89.094301
  44. Tegzes, P., Vicsek, T., Schiffer, P. (2003). Development of correlations in the dynamics of wet granular avalanches. Physical Review E, 67 (5). doi: https://doi.org/10.1103/physreve.67.051303

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Published

2021-10-31

How to Cite

Naumenko, Y., Deineka, K., & Myronenko, T. (2021). Establishing the conditions for the formation of a near-wall layer of solid granular fill of a rotating drum . Eastern-European Journal of Enterprise Technologies, 5(1(113), 51–61. https://doi.org/10.15587/1729-4061.2021.240194

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Engineering technological systems