Investigating the Flow Rate of Granular Material in a Dynamic System
How does a constant change in the silo’s angle of inclination impact the granular flow rate?
DOI:
https://doi.org/10.47611/jsrhs.v12i1.3900Keywords:
physics, Granular Flow, Fluid Mechanics, Extended EssayAbstract
The aim of this research is to investigate the effective method of predicting granular flow rate in a dynamic system, specifically a system undergoing vertical periodical fluctuation, simplified into uniform circular motion in this investigation. The preliminary investigation recognises the explanation from Beverloo’s relation in literature and confirmed its effectiveness in predicting the flow rate of granular material through a static silo. Hence, a mathematical hypothesis regarding the research question is established successfully, synthesizing the hypothesis of projection of effective diameter and vertical acceleration. In experiment, the hypothesis of the projection of effective diameter of the flow region is verified experimentally; whereas various implications arise when applying the conventional force analysis into the Beverloo’s relation. Although the current evidence is deficient in supporting me proposing the new law, this investigation systematically discuss the interconnection among the variables in Beverloo’s relation, and the current implication revealed shed a light on further research.
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References or Bibliography
“Aerators - The Vibrating Rubber Pads for Silo/Hopper Flow with Ease.” AKO UK Pinch
Valves, 5 June 2017, https://www.pinch-valves.com/2017/06/05/aerators/.
Beverloo, W. A., et al. “The Flow of Granular Solids through Orifices.” Chemical Engineering Science, no. 3–4, Elsevier BV, Sept. 1961, pp. 260–69. Crossref, doi:10.1016/0009-
(61)85030-6.
“Bulk Material Silo for Powder and Granules - Www.Ammag.Com.” AMMAG, https://www.ammag.com/enmaterial-technology-overview-products/bulk-material-silo/. Accessed 8 June 2022.
EVESQUE, Pierre, and Wahib MEFTAH. “MEAN FLOW OF A VERTICALLY VIBRATED
HOURGLASS.” International Journal of Modern Physics B, no. 09n10, World Scientific Pub
Co Pte Lt, Apr. 1993, pp. 1799–805. Crossref, doi:10.1142/s0217979293002596.
Guo, P. and Zhou, S. (2013), Arch in granular materials as a free surface problem. Int. J.
Numer. Anal. Meth. Geomech., 37: 1048-1065. https://doi.org/10.1002/nag.1137
Hunt, M. L., et al. “Effects of Horizontal Vibration on Hopper Flows of Granular Materials.”
Physics of Fluids, no. 1, AIP Publishing, Jan. 1999, pp. 68–75. Crossref, doi:10.1063/1.869903.
“Effects of Horizontal Vibration on Hopper Flows of Granular Materials.” Physics of Fluids, no.
, AIP Publishing, Jan. 1999, pp. 68–75. Crossref, doi:10.1063/1.869903.
Mankoc, C., et al. “The Flow Rate of Granular Materials through an Orifice.” Granular Matter, no. 6, Springer Science and Business Media LLC, Sept. 2007, pp. 407–14. Crossref,
doi:10.1007/s10035-007-0062-2.
Marconi, U. Bettolo Marini, et al. “Janssen’s Law and Stress Fluctuations in Conned Dry
Granular Materials.” Www.Elsevier.Com/Locate/Physa, Elsevier, 1999.
Nedderman, R. M. Statics and Kinematics of Granular Materials. Cambridge University Press,
Ostadi, Mohsen. “Mechanics of Dry Granular Flow through an Opening.” University of Alberta
Libraries, University of Alberta Libraries, 2019, doi:10.7939/R3-YK7N-DM66.
Richard, Patrick, et al. “Slow Relaxation and Compaction of Granular Systems.” Nature Materials, no. 2, Springer Science and Business Media LLC, Feb. 2005, pp. 121–28. Crossref,
doi:10.1038/nmat1300.
Sheldon, Hannah G., and Douglas J. Durian. “Granular Discharge and Clogging for Tilted
Hoppers.” Granular Matter, no. 6, Springer Science and Business Media LLC, July 2010, pp.
–85. Crossref, doi:10.1007/s10035-010-0198-3.
Wassgren, C. R., et al. “Effects of Vertical Vibration on Hopper Flows of Granular Material.” Physics of Fluids, no. 10, AIP Publishing, Oct. 2002, pp. 3439–48. Crossref,
doi:10.1063/1.1503354.
Wilson, T. J., et al. “Granular Discharge Rate for Submerged Hoppers.” Papers in Physics,
Papers in Physics, Oct. 2014, p. 060009. Crossref, doi:10.4279/pip.060009.
Wu, X-l., et al. “Why Hour Glasses Tick.” Physical Review Letters, no. 9, American Physical
Society (APS), Aug. 1993, pp. 1363–66. Crossref, doi:10.1103/physrevlett.71.1363.
Zuriguel, Iker, et al. “Jamming during the Discharge of Granular Matter from a Silo.” Physical
Review E, no. 5, American Physical Society (APS), May 2005. Crossref, doi:10.1103/physreve.71.051303.
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