Abstract
In this work we assess whether particle shape can induce radial segregation in a rotating cylinder. To this end, mixtures of spheres and non-spherical particles of equal-volume were modelled in a discrete element modelling framework. We could observe that particle-shape (alone) can induce radial segregation with the non-spherical particles accumulating in the centre of the cylinder. To probe the underlying segregation mechanism, a large number of particle trajectories and orientations were analysed. We observed that non-spherical particles, when segregating towards the centre of the bed, did not necessarily orientate themselves such that their projected area (in the sinking direction) was smaller than that of spheres. Instead, we found that there was a high probability that the avalanching, non-spherical particles are orientated such that their projected area in the direction perpendicular to the bed surface is maximal. Hence, particle-shape induced segregation cannot be explained by the conventional percolation mechanism. Instead, we propose that shape-induced segregation originates from the lower mobility of the non-spherical particles than spheres. We explain the lower mobility of non-spherical particles by their larger radius of gyration than equal-volume spheres, leading to an increased number of collisions and thus a higher rate of kinetic energy dissipation.
This is a preview of subscription content, access via your institution.








References
Ottino, J.M., Khakhar, D.V.: Mixing and segregation of granular materials. Annu. Rev. Fluid Mech. 32, 55–91 (2000)
Aranson, I.S., Tsimring, L.S.: Patterns and collective behavior in granular media: theoretical concepts. Rev. Mod. Phys. 78, 641–692 (2006)
Seiden, G., Thomas, P.J.: Complexity, segregation, and pattern formation in rotating-drum flows. Rev. Mod. Phys. 83, 1323–1365 (2011)
Richard, P., Taberlet, N.: Recent advances in DEM simulations of grains in a rotating drum. Soft Matter 4, 1345–1348 (2008)
Hill, K.M., Khakhar, D.V., Gilchrist, J.F., McCarthy, J.J., Ottino, J.M.: Segregation-driven organization in chaotic granular flows. Proc. Natl. Acad. Sci. U.S.A. 96, 11701–11706 (1999)
Christov, I.C., Stone, H.A.: Resolving a paradox of anomalous scalings in the diffusion of granular materials. Proc. Natl. Acad. Sci. U.S.A. 109, 16012–16017 (2012)
Fan, Y., Schlick, C.P., Umbanhowar, P.B., Ottino, J.M., Lueptow, R.M.: Modelling size segregation of granular materials: the role of segregation, advection and diffusion. J. Fluid Mech. 741, 252–279 (2014)
Meier, S.W., Melani Barreiro, D.A., Ottino, J.M., Lueptow, R.M.: Coarsening of granular segregation patterns in quasi-two-dimensional tumblers. Nat. Phys. 4, 244–248 (2008)
Jing, L., Kwok, C.Y., Leung, Y.F.: Micromechanical origin of particle size segregation. Phys. Rev. Lett. 118, 118001 (2017)
Gillemot, K.A., Somfai, E., Börzsönyi, T.: Shear-driven segregation of dry granular materials with different friction coefficients. Soft Matter 13, 415–420 (2017)
Balista, J.A.F.: Axial segregation of granular mixtures as the rotational stabilization of the radial core. Granul. Matter 19, 39 (2017)
González, S., Windows-Yule, C.R.K., Luding, S., Parker, D.J., Thornton, A.R.: Forced axial segregation in axially inhomogeneous rotating systems. Phys. Rev. E 92, 022202 (2015)
Windows-Yule, C.R.K., Scheper, B.J., van der Horn, A.J., Hainsworth, N., Saunders, J., Parker, D.J., Thornton, A.R.: Understanding and exploiting competing segregation mechanisms in horizontally rotated granular media. New J. Phys. 18, 023013 (2016)
Liu, P.Y., Yang, R.Y., Yu, A.B.: The effect of liquids on radial segregation of granular mixtures in rotating drums. Granul. Matter 15, 427–436 (2013)
Arntz, M.M.H.D., Beeftink, H.H., den Otter, W.K., Briels, W.J., Boom, R.M.: Segregation of granular particles by mass, radius, and density in a horizontal rotating drum. AIChE J. 60, 50–59 (2014)
Pereira, G.G., Cleary, P.W.: Radial segregation of multi-component granular media in a rotating tumbler. Granul. Matter 15, 705–724 (2013)
Arntz, M.M.H.D., den Otter, W.K., Briels, W.J., Bussmann, P.J.T., Beeftink, H.H., Boom, R.M.: Granular mixing and segregation in a horizontal rotating drum: a simulation study on the impact of rotational speed and fill level. AIChE J. 54, 3133–3146 (2008)
Pereira, G.G., Sinnott, M.D., Cleary, P.W., Liffman, K., Metcalfe, G., Šutalo, I.D.: Insights from simulations into mechanisms for density segregation of granular mixtures in rotating cylinders. Granul. Matter 13, 53–74 (2011)
Börzsönyi, T., Stannarius, R.: Granular materials composed of shape-anisotropic grains. Soft Matter 9, 7401–7418 (2013)
Lu, G., Third, J.R., Müller, C.R.: Discrete element models for non-spherical particle systems: from theoretical developments to applications. Chem. Eng. Sci. 127, 425–465 (2015)
Guo, Y., Curtis, J.S.: Discrete element method simulations for complex granular flows. Annu. Rev. Fluid Mech. 47, 21–46 (2015)
Pereira, G.G., Pucilowski, S., Liffman, K., Cleary, P.W.: Streak patterns in binary granular media in a rotating drum. Appl. Math. Model. 35, 1638–1646 (2011)
Pereira, G.G., Tran, N., Cleary, P.W.: Segregation of combined size and density varying binary granular mixtures in a slowly rotating tumbler. Granul. Matter 5, 711–732 (2014)
Hill, K.M., Gioia, G., Amaravadi, D.: Radial segregation patterns in rotating granular mixtures: waviness selection. Phys. Rev. Lett. 93, 224301 (2004)
Schlick, C.P., Yi, Fan, Umbanhowar, P.B., Ottino, J.M., Lueptow, R.M.: Granular segregation in circular tumblers: theoretical model and scaling laws. J. Fluid Mech. 765, 632–652 (2015)
Dubé, O., Alizadeh, E., Chaouki, J., Bertrand, F.: Dynamics of non-spherical particles in a rotating drum. Chem. Eng. Sci. 101, 486–502 (2013)
Pereira, G.G., Cleary, P.W.: Segregation due to particle shape of a granular mixture in a slowly rotating tumbler. Granul. Matter 19, 23 (2017)
Lu, G., Third, J.R., Müller, C.R.: Critical assessment of two approaches for evaluating contacts between super-quadric shaped particles in DEM simulations. Chem. Eng. Sci. 78, 226–235 (2012)
Lu, G., Third, J.R., Müller, C.R.: The parameters governing the coefficient of dispersion of cubes in rotating cylinders. Granul. Matter 19, 12 (2017)
Lu, G., Third, J.R., Müller, C.R.: Effect of wall rougheners on cross-sectional flow characteristics for non-spherical particles in a horizontal rotating cylinder. Particuology 12, 44–53 (2013)
Dury, C.M., Ristow, G.H., Moss, J.L., Nakagawa, M.: Boundary effects on the angle of repose in rotating cylinders. Phys. Rev. Lett. 57, 4491–4497 (1998)
Cleary, P.W., Sinnott, M.D., Morrison, R.D.: DEM prediction of particle flows in grinding processes. Int. J. Numer. Methods Fluids 58, 319–353 (2008)
Langston, P.A., Al-Awamleh, M.A., Fraige, F.Y., Asmar, B.N.: Distinct element modelling of non-spherical frictionless particle flow. Chem. Eng. Sci. 59, 425–435 (2004)
Kremmer, M., Favier, J.F.: Calculating rotational motion in discrete element modelling of arbitrary shaped model objects. Eng. Comput. 17, 703–714 (2000)
Mellmann, J.: The transverse motion of solids in rotating cylinders—forms of motion and transition behavior. Powder Technol. 118, 251–270 (2001)
Chou, S.H., Liao, C.C., Hsiau, S.S.: The effect of interstitial fluid viscosity on particle segregation in a slurry rotating drum. Phys. Fluids 23, 083301 (2011)
Mandal, S., Khakhar, D.V.: An experimental study of the flow of nonspherical grains in a rotating cylinder. AIChE J. 63, 4307–4315 (2017)
Rasouli, M., Dubé, O., Bertrand, F., Chaouki, J.: Investigating the dynamics of cylindrical particles in a rotating drum using multiple radioactive particle tracking. AIChE J. 62, 2622–2634 (2016)
Third, J.R., Scott, D.M., Scott, S.A., Müller, C.R.: Tangential velocity profiles of granular material within horizontal rotating cylinders modelled using the DEM. Granul. Matter 12, 587–595 (2010)
Caulkin, R., Jia, X., Fairweather, E., Williams, R.A.: Geometric aspects of particle segregation. Phys. Rev. E 81, 051302 (2010)
Alam, M., Luding, S.: Energy nonequipartition, rheology, and microstructure in sheared bidisperse granular mixtures. Phys. Fluids 17, 063303 (2005)
Roskilly, S.J., Colbourn, E.A., Alli, O., Williams, D., Paul, K.A., Welfare, E.H., Trusty, P.A.: Investigating the effect of shape on particle segregation using a Monte Carlo simulation. Powder Technol. 203, 211–222 (2010)
Windows-Yule, C.R.K., Maddox, B., Parker, D.J.: The role of rotational inertia in the dynamics of vibrofluidised granular gas. Europhys. Lett. 108, 58006 (2014)
Windows-Yule, C.R.K., Douglas, G.J.M., Parker, D.J.: Competition between geometrically induced and density-driven segregation mechanisms in vibrofluidized granular systems. Phys. Rev. E 91, 032205 (2015)
Acknowledgements
The authors are grateful to the Swiss National Science Foundation (20020_281692) for financial support of this work.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Lu, G., Müller, C.R. Particle-shape induced radial segregation in rotating cylinders. Granular Matter 22, 50 (2020). https://doi.org/10.1007/s10035-020-01020-2
Received:
Published:
DOI: https://doi.org/10.1007/s10035-020-01020-2
Keywords
- Segregation
- Non-spherical particle
- Granular flow
- Rotating cylinder
- Discrete element modelling (DEM)