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  4. Influence of friction characteristics of a bulk material on its outflow from a conical hole

Influence of friction characteristics of a bulk material on its outflow from a conical hole

MMC.
2024;
Volume 11, Number 4
: pp. 1058–1064
Received: March 16, 2024
Revised: November 24, 2024
Accepted: November 25, 2024

Maherus N. I., Sholovii Yu. P., Tymoshenko N. M., Kuchma M. I.  Influence of friction characteristics of a bulk material on its outflow from a conical hole.  Mathematical Modeling and Computing. Vol. 11, No. 4, pp. 1058–1064 (2024)

Authors:
  1. N. I. Maherus
  2. Yu. P. Sholovii
  3. N. M. Tymoshenko
  4. M. I. Kuchma
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University

Taking into account the adhesive interaction of the product with the walls of the hopper, a mathematical model of the fine-grained bulk material stress state in a conical hopper hole under vibration is proposed.  A discrete environment model was used for analysis.  This model was based on considering the equilibrium of an elementary volume with an infinitesimal thickness.  An analytical dependency was established, allowing an estimate of the influence of frictional factors on the fine-grained bulk material stress state, thereby enabling its modification by adjusting certain parameters, such as the dosing process and the discharge hopper geometry.

fine-grained bulk material
stress state
unloading hole
hopper
vibration parameters
friction characteristics
leakage conditions
  1. Shah D. S., Moravkar K. K., Jha D. K., Lonkar V., Amin P. D., Chalikwar S. S.  A concise summary of powder processing methodologies for flow enhancement.  Heliyon.  9 (6), e16498 (2023).
  2. Wu Y. H.  Static and dynamic analyses of the flow of bulk materials through silos (1990).
  3. Cano-Pleite E., Hernández-Jiménez F., Acosta-Iborra A., Tsuji T., Müller C. R.  Segregation of equal-sized particles of different densities in a vertically vibrated fluidized bed.  Powder Technology.  316, 101–110 (2017).
  4. Dong L., Zhao Yu., Cai L., Peng L., Zhang B., Luo Z., He Y.  Effect of feed characteristics on the fluidization of separating fluidized bed for dry coal separation.  Powder Technology.  269, 75–84 (2015).
  5. Jiang Z., Fatah N.  New investigation of Micro-fluidized bed: The effect of wall roughness and particle size on hydrodynamics regimes.  Chemical Engineering Journal.  430 (4), 133075 (2022).
  6. Karimi H., Dehkordi A. M.  Prediction of equilibrium mixing state in binary particle spouted beds: Effects of solids density and diameter differences, gas velocity, and bed aspect ratio.  Advanced Powder Technology.  26 (5), 1371–1382 (2015).
  7. Macpherson S. A., Iveson S. M., Galvin K. P.  Density based separations in the Reflux Classifier with an air–sand dense–medium and vibration.  Minerals Engineering.  23 (2), 74–82 (2010).
  8. Hartig J., Shetty A., Conklin D. R., Weimer A. W.  Aeration and cohesive effects on flowability in a vibrating powder conveyor.  Powder Technology.  408, 117724 (2022).
  9. Zhou T., Li H.  Force balance modelling for agglomerating fluidization of cohesive particles.  Powder Technology.  111 (1–2), 60–65 (2000).
  10. Barletta D., Poletto M.  Aggregation phenomena in fluidization of cohesive powders assisted by mechanical vibrations.  Powder Technology.  225, 93–100 (2012).
  11. Lee J.-R., Lee K.-S., Hasolli N., Park Y.-O., Lee K.-Y., Kim Y.-H.  Fluidization and mixing behaviors of Geldart groups A, B and C particles assisted by vertical vibration in fluidized bed.  Chemical Engineering and Processing – Process Intensification.  149, 107856 (2020).
  12. Mawatari Y., Tatemoto Y., Noda K.  Prediction of minimum fluidization velocity for vibrated fluidized bed.  Powder Technology.  131 (1), 66–70 (2003).
  13. Zhou E., Zhang Y., Zhao Y., Luo Z., He J., Duan Ch.  Characteristic gas velocity and fluidization quality evaluation of vibrated dense medium fluidized bed for fine coal separation.  Advanced Powder Technology.  29 (4), 985–995 (2018).
  14. Fukasawa T., Izumi J., Yoshimura Sh., Ishigami T., Fukui K.  Assessing the formation and destruction behaviors of fine powder agglomerates in vibrating fluidized beds using the Ergun equation.  Powder Technology.  428, 118845 (2023).
  15. Maherus N. I., Sholovii Yu. P., Tymoshenko N. M., Kuchma M. I.  Modeling of a bulk material stress state in a conical hopper hole under vibration action.  Mathematical Modeling and Computing.  9 (4), 968–976 (2022).
  16. Sholovii Y. P., Maherus N. I., Zyska T., Sagymbekova A., Askarova N.  Modelling of the finely-dispersed noncoherent material flow from the loading hopper under vibration.  Proceedings of SPIE – The International Society for Optical Engineering.  11045, 1104508 (2019).
  17. Unac R. O., Vidales A. M., Benegas O. A., Ippolito I.  Experimental study of discharge rate fluctuations in a silo with different hopper geometries.  Powder Technology.  225, 214–220 (2012).
  18. Lu H., Bian Y., Wang Z., Guo X., Liu H., Cao J., Qu K.  Characterization of non-Newtonian rheological behaviors of powders.  Powder Technology.  417, 118281 (2023).
  19. Thomas A., Clayton J.  Stress distribution in a powder column under uniaxial compression.  Powder Technology.  408, 117768 (2022).
  20. Zafar U., Hare C., Hassanpour A., Ghadiri M.  Assessing powder flowability at low stresses using ball indentation method: Evaluation of constraint factor.  Powder Technology.  387, 287–294 (2021).
  21. Katalymov A. V., Liubartovych V. A.  Dosage of viscous and bulk materials.  Lviv, Khimiia (1990).