Effects of vibrator characteristics on uncloging and outflow of silo containing granular material-DEM approach

Document Type : Original Article

Authors
1 Department of Mechanical Engineering, Technical and Vocational University(TVU), Tehran, Iran.
2 Faculty of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran.
Abstract
The output flow regime of the silo is influenced by different variables including its geometrical features, type and size of particles and flow aid devices. In this research, the Discrete Element Method (DEM) has been used to simulate and study effects of vibration, caused by installing a vibrator, on the output flow of silos containing granular materials. In order to ensure the accuracy of the simulations, the sensitivity analysis was performed on the numerical solution factors. For validation, comparisons with experimental and numerical results available in the open literature have been made. Observing the real conditions shows that when the opening of the silo is not large enough, the silo becomes blocked. Here, by performing a number of simulations, the opening size threshold at which the silo becomes blocked was determined and named as the critical size. Sizes larger and smaller than that threshold were introduced as non-critical and super-critical respectively, and numerical studies were carried out on these three cases. Numerical studies have been done for different values of the vibration frequency and amplitude. Moreover, to find out effects of the vibrator location, relevant stimulations were conducted, and based on the obtained results, when its location was within 20% of the bottom height of the discharge funnel, it had the greatest effect. As another conclusion, it was found that by increasing the vibration frequency, the impact of the vibrator increases however, the difference in the effects of different frequencies decreases with the increase of the vibration amplitude. Regarding effects of the studied variables, in addition to the theoretical explanation, their physical interpretation and reasoning has also been discussed.
Keywords
Subjects

[1].Janssen, H.A., Versuche uber Getreidedruck in Silozellen. Zeitschrift des Vereines Deutscher Ingenieure, 1895. 39: p. 1045-1049.
[2].Beverloo, W.A., H.A. Leniger, and J. van de Velde, The flow of granular solids through orifices. Chemical Engineering Science, 1961. 15(3–4): p. 260-269.
[3].Walker, D.M., An approximate theory for pressures and arching in hoppers. Chemical Engineering Science, 1966. 21(11): p. 975-997.
[4].Walters, J.K., A theoretical analysis of stresses in silos with vertical walls. Chemical Engineering Science, 1973. 28(1): p. 13-21.
[5].Arnold, P.C. and A.S. Kaaden, Reducing hopper wall friction by mechanical vibration. Powder Technology, 1977. 16(1): p. 63-66.
[6].Jarrett, N.D., A study of the influence of wall flexibility on pressure in rectangular silos, in School of Engineering and Design. 1991, Brunel University.
[7].To, K., P.-Y. Lai, and H.K. Pak, Jamming of Granular Flow in a Two-Dimensional Hopper. Physical Review Letters, 2001. 86(1): p. 71-74.
[8].Zuriguel, I., et al., Jamming during the discharge of grains from a silo described as a percolating transition. Physical Review E, 2003. 68(3): p. 030301.
[9].Uñac, R.O., et al., Experimental study of discharge rate fluctuations in a silo with different hopper geometries. Powder Technology, 2012. 225: p. 214-220.
[10]. Mellmann, J., T. Hoffmann, and C. Fürll, Mass flow during unloading of agricultural bulk materials from silos depending on particle form, flow properties and geometry of the discharge opening. Powder Technology, 2014. 253: p. 46-52.
[11]. Wilson, T.J., et al., Reply to the commentary on granular discharge rate for submerged hoppers. 2014. Vol. 6. 2014.
[12]. Huang, W., et al., Discharge characteristics of cohesive fine coal from aerated hopper. Powder Technology, 2009. 194(1–2): p. 126-131.
[13]. Lu, H., et al., Study on the fluidization and discharge characteristics of cohesive coals from an aerated hopper. Powder Technology, 2011. 207(1–3): p. 199-207.
[14]. Jafari, A. and R. Abbasi Hattani, Investigation of parameters influencing erosive wear using DEM. Friction, 2019.
[15]. Jafari, A., M. Javaheri, and G. Baradaran, Computer simulation to optimize roller screen settings providing higher efficiency in green pellets classification. Computers & Chemical Engineering, 2022. 161: p. 107767.
[16]. Goda, T.J. and F. Ebert, Three-dimensional discrete element simulations in hoppers and silos. Powder Technology, 2005. 158(1–3): p. 58-68.
[17]. Langston, P., et al., Vibration induced flow in hoppers: continuum and DEM model approaches. Granular Matter, 2009. 11(2): p. 99-113.
[18]. Fraige, F.Y., et al., Vibration induced flow in hoppers: DEM 2D polygon model. Particuology, 2008. 6(6): p. 455-466.
[19]. Matchett, A.J., A Theoretical Model of Vibrationally Induced Flow in Conical Hopper Systems. Chemical Engineering Research and Design, 2004. 82(1): p. 85-98.
[20]. González-Montellano, C., et al., Validation and experimental calibration of 3D discrete element models for the simulation of the discharge flow in silos. Chemical Engineering Science, 2011. 66(21): p. 5116-5126.
[21]. Kobyłka, R. and M. Molenda, DEM simulations of loads on obstruction attached to the wall of a model grain silo and of flow disturbance around the obstruction. Powder Technology, 2014. 256(0): p. 210-216.
[22]. Jafari, A. and V. Saljooghi Nezhad, Employing DEM to study the impact of different parameters on the screening efficiency and mesh wear. Powder Technology, 2016. 297: p. 126-143.
[23]. Johnson, K.L. and K.L. Johnson, Contact mechanics. 1987: Cambridge university press.
[24]. Brilliantov, N.V., et al., Model for collisions in granular gases. Physical Review E, 1996. 53(5): p. 5382-5392.
[25]. Yan-hua, C. and T. Xin, Application of the DEM to screening process: a 3D simulation. Mining Science and Technology, 2009. 19: p. 0493-0497.
[26]. Guifeng, W. and T. Xin, Screening efficiency and screen length of a linear vibrating screen using DEM 3D simulation. Mining Science and Technology (China), 2011. 21: p. 451–455.
[27]. Gear, C.W., Numerical initial value problems in ordinary differential equations 1971: Prentice-Hall, Englewood Cliffs.
[28]. Christoph Kloss, et al., Models, algorithms and validation for opensource DEM and CFD-DEM. Progress in Computational Fluid Dynamics, An Int. J., 2012. 12(2/3): p. 140-152.
[29]. Nedderman, R.M., et al., The flow of granular materials—I: Discharge rates from hoppers. Chemical Engineering Science, 1982. 37(11): p. 1597-1609.
 
Volume 1, Issue 1 - Serial Number 1
February 2023
Pages 39-57

  • Receive Date 21 August 2022
  • Revise Date 05 October 2022
  • Accept Date 11 December 2022
  • First Publish Date 11 December 2022
  • Publish Date 20 February 2023