Abstract
Vibrational motion of 2D layers composed of identical inelastic solid disks is investigated experimentally and characterized in terms of the dimensionless acceleration. Several vibrational regimes with different degrees of vibrofluidization are studied by means of the layers’ videorecording and tracking the motion of one larger disk immersed into each bed of smaller particles. It is observed that depending on the vessel’s vibrational acceleration the larger disk either ultimately rises on top of the layer, or vigorously moves throughout it. These regimes respectively correspond to the particles’ segregation and mixing. In a certain narrow range of the vibrational acceleration the layer is observed to re-pack and move as a single block without any relative particles’ motion. This acceleration range is well described by the model of an absolutely plastic body moving above a vibrated plate.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahmad, K. and Smalley, I. J.: Observation of particle segregation in vibrated granular systems, Powder Technology 8 (1973), 69–75.
Williams, J. C.: The segregation of particulate materials, Powder Technology 15 (1976), 245–251.
Parson, D. S.: Particle segregation in fine powders by tapping as simulation of jostling during transportation, Powder Technology 13 (1976), 269–277.
Harwood, C. F.: Powder segregation due to vibration, Powder Technology 16 (1977), 51–57.
Rosato, A., Prinz, F., Standburg, J. K. and Svendsen, R.: Monte Carlo simulation of a particulate matter segregation, Powder Technol. 49 [59] (1986);
Rosato, A., Prinz, F., Standburg, J. K. and Svendsen, R.: Why Brasil nuts are on top: Size segregation of particulate matter by shaking, Phys. Rev. Lett. 58 [7] (1987), 1038–1041.
Clement, E. and Rajchenbach, J.: Fluidization of a bidimentional powder, Europhys. Lett. 16 [2] (1991), 133–138.
Knight, J. B., Jaeger, H. M. and Nagel, S. R.: Vibration-induced size segregation in granular media: The convection connection, Phys. Rev. Lett. 70 [24] (1993), 3728–3731.
Ehrichs, E. E.., Jaeger, H. M., Karczmsan, G. S., Knight, J. B., Kuperman, V. Yu. and Nagel, S. R.: Granular convection connection observed by magnetic resonance imaging, Science 267 (1995), 1632–1634.
Lan, Y. and Rosato, A. D.: Convection related phenomena in granular dynamics simulations of vibrated beds, Phys. Fluids 9 [12] (1997), 3615–3624.
Clement, E., Vanel, L., Rajchenbach, J. and Duran, J.: Pattem formation in a vibrated granular layer, Phys. Rev. E. 53[3] (1996), 2972–2975.
Wassgren, C. R., Brennen C. E. and Hunt, M. L.: Vertical vibration of a deep bed of granular material in a container, J. Appl. Mech. 63 [3] (1996), 712–719.
Doudy, S. Fauve, S. and Laroshe, C.: Subharmonic instabilities and defects in a granular layer under vertical vibrations, Europhys. Len., 8[7] (1989), 621.
Goldshtein, A., Shapiro, M., Moldaysky, L. and Fichman, M.: Mechanics of collisional motion of granular materials. 2. Wave propagation through vibrofluidized granular layers. J. Fluid Mech., 287 (1995), 349.
Vanel, L., Rosato, A. and Dave R.: Rise-time regime of a large sphere in vibrated bulk solids, Phys. Rev. Lett. 78 [7] (1997), 1255–1258;
Vanel, L., Rosato, A. and Dave R. Size dependent segregation in a 3D vibrated bed, in R.P. Behringer and J.T. Jenkins (eds.), Powders & Grains 97, A.A. Balkema, Rotterdam, 1997, pp. 385–387.
Chlenov, V. A. and Mikhailov, N. D.: Vibrofluidized Beds. Nauka, Moscow, 1972.
Brone, D. and Muzzio, F. J.: Size segregation in vibrated granular systems: A reversible process, Phys. Rev. E. 56 [1] (1997), 1059–1063.
Thomas, B.: Shallow vibrated particulate beds-bed’s dynamics and heat transfer, Ph. D. Dissertation, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 1988.
Eccles, E. R. A. and Mujumdar, A. S.: Particle flow patterns and mixing in aerated vibrated beds of small particles, Powder Handling & Processing 4 [1] (1992), 39–45.
Alexeev A., Royzen V., Dudko V., Goldshtein A. and Shapiro M.: Dynamics of vertically vibrated two-dimensional granular layers, Phys. Rev. E, 59 [3] (1999), 3231–3241.
Royzen, V., Dudko, V., Goldshtein, A. and Shapiro, M.: Apparatus for vibromixing and measurements of kinematic and dynamic parameters of granular materials, Proc. 26th Israel Conference on Mechanical Engineering, Haifa, 1996, pp. 225–227.
Royzen, V., Dudko, A. Alexeev, A., Goldshtein, A. and Shapiro, M.: Vibromixing of granular materials: Kinematics and dynamics of vibrofluidization, Proc. Second Israel Conference for Conveying and Handling of Particulate Solids, Jerusalem, 1997, pp. 11–23.
Alexeev, A., Goldshtein, A. and Shapiro, M.: Vibrofluidization of highly dissipative granular systems: one-dimensional computer simulations, Powder Tech, Submitted (1999).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Alexeev, A., Royzen, V., Dudko, V., Goldshtein, A., Shapiro, M. (2000). Mixing and Segregation in Vertically Vibrated Granular Layers. In: Rosato, A.D., Blackmore, D.L. (eds) IUTAM Symposium on Segregation in Granular Flows. Solid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9498-1_12
Download citation
DOI: https://doi.org/10.1007/978-94-015-9498-1_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5556-9
Online ISBN: 978-94-015-9498-1
eBook Packages: Springer Book Archive