Skip to main content
SpringerLink
Log in

A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat

  • Published:
Transactions of the Indian Institute of Metals Aims and scope Submit manuscript

Abstract

The formation of an air gap at the mould-metal interface in continuous casting has long been known to have a detrimental effect on the efficiency of the process, and has therefore attracted many attempts at mathematical modelling. While almost all current efforts consist of complex three-dimensional numerical simulations of the phenomenon, this paper demonstrates the use of elementary asymptotic techniques to derive a quasi-analytical model that captures the essential characteristics. The model allows for full two way coupling between the thermal and mechanical problems: the formation of the air gap affects the heat transfer, whilst the heat transfer affects the stresses that lead to the formation and evolution of the air gap. In particular, this paper extends a recent model [1] by including the effects of superheat. Sample computations are performed using parameters for the continuous casting of the copper, and the results, qualitative trends and possible extensions are discussed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Vynnycky M, Proc. Roy. Soc. A., 465 (2009) 1617.

    Article  ADS  Google Scholar 

  2. Savage J, J. Iron Steel Inst., 198 (1962) 41.

    Google Scholar 

  3. Richmond O and Tien R H, J. Mech. Phys. Solids, 19 (1971) 273.

    Article  ADS  Google Scholar 

  4. Grill A, Sorimachi K and Brimacombe J K, Metall. Trans. B., 7B (1976) 177.

    Article  CAS  ADS  Google Scholar 

  5. Kelly J E, Michalek K P, O’Connor T G, Thomas B G and Dantzig J A, Metall. Trans. A, 7A (1988) 2589.

    ADS  Google Scholar 

  6. Li C and Thomas B G, Metall. Mater. Trans. B, 35B (2004) 1151.

    Article  CAS  Google Scholar 

  7. Sun D, Annapragada S R, Garimella S V and Singh S K, Numerical Heat Transfer, 51 (2007) 415.

    Article  CAS  Google Scholar 

  8. Åberg J, Vynnycky M and Fredriksson H, Accepted, Trans IIM, (2009).

  9. Mitchell S L and Vynnycky M, Appl. Maths Comp., 215 (2009) 1609.

    Article  MATH  Google Scholar 

  10. Vynnycky M, Mitchell S L and Åberg J, In preparation (2009).

  11. Mahmoudi J, Int. J. Cast Metals Res., 19 (2006) 223.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland

    M. Vynnycky

Authors
  1. M. Vynnycky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Vynnycky.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vynnycky, M. A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat. Trans Indian Inst Met 62, 495–498 (2009). https://doi.org/10.1007/s12666-009-0064-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12666-009-0064-3

Keywords

Search

Navigation