Skip to main content

Development of a Mathematical Model to Follow Alumina Injection

  • Conference paper
  • First Online:
Light Metals 2019

Abstract

To improve the operation of the aluminum reduction technology, each step of the alumina incorporation into the bath needs to be understood. The mathematical model presented in this paper, uses the Discrete Element Method (DEM), based on the description of the interactions between the particles and surrounding liquid, solving the kinematic equations. First, the description of particle-particle interactions was validated by experimental values of bulk density and angle of repose. Next, the interaction of particles with the liquid when arriving onto the free surface was added. Furthermore, modelling of phenomena like aggregate formation, breakup and dissolution requires the quantitative description and integration of further physicochemical knowledge. The number of injected powder particles during feeding is in the order of few hundred million. Following of such a number of particles is very much demanding computationally. Consequently, it is primordial to determine the minimal number of particles that reproduces correctly the physical reality.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 449.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Thonstad, J., et al., The Dissolution of Alumina in Cryolite Melts, in Essential Readings in Light Metals. 2013. p. 105–111.

    Google Scholar 

  2. Townsend, D.W. and L.G. Boxall. Crusting Behavior of Smelter Aluminas. in Light Metals: Proceedings of Sessions, AIME Annual Meeting (Warrendale, Pennsylvania). 1984.

    Google Scholar 

  3. Dassylva-Raymond, V., et al., Modeling the Behavior of Alumina Agglomerate in the Hall-Héroult Process, in Light Metals 2014. 2014. p. 603–608.

    Google Scholar 

  4. Ostbo, P., Evolution of Alpha Phase Alumina in Agglomerates upon Addition to Cryolitic Melts. PhD Thesis, Norwegian University of Science and Technology, 2002.

    Google Scholar 

  5. Kobbeltvedt, O., S. Rolseth, and J. Thonstad. On the mechanisms of alumina dissolution with relevance to point feeding aluminium cells. in Light Metals: Proceedings of Sessions, TMS Annual Meeting (Warrendale, Pennsylvania). 1996.

    Google Scholar 

  6. Einarsrud, K.E., S.E. Gylver, and E. Manger, CFD modelling of alumina feeding, in Minerals, Metals and Materials Series. 2018. p. 557–564.

    Google Scholar 

  7. Durand, M., et al., DEM-based simulation of concrete structures on GPU. European Journal of Environmental and Civil Engineering, 2012. 16(9): p. 1102–1114.

    Google Scholar 

  8. Norouzi, H.R., et al., Coupled CFD-DEM Modeling: Formulation, Implementation and Application to Multiphase Flows. 2016: Wiley.

    Google Scholar 

  9. Fraser, K. Adaptive smoothed particle hydrodynamics search algorithm for large plastic deformation computational solid mechanics 2014.

    Google Scholar 

  10. Belytschko, T., W.K. Liu, and M. O’Neal, Contact - Impact Algorithms for Penetration Studies. U.S. Army Research Office, 1990.

    Google Scholar 

  11. Jensen, A., K. Fraser, and G. Laird, Improving the precision of discrete element simulations through calibration models. 13th International LS-DYNA Users Conference, 2014.

    Google Scholar 

Download references

Acknowledgements

The research described above was made possible by the financial support of Rio Tinto Aluminum and the Natural Sciences and Engineering Research Council of Canada.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thomas Roger .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 The Minerals, Metals & Materials Society

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Roger, T., Kiss, L., Fraser, K., Poncsák, S., Guérard, S., Bilodeau, JF. (2019). Development of a Mathematical Model to Follow Alumina Injection. In: Chesonis, C. (eds) Light Metals 2019. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-05864-7_84

Download citation

Publish with us

Policies and ethics