Skip to main content
SpringerLink
Log in

Role of mathematical modelling in metallurgy

  • International Conference On Recent Advances In Materials And Processes
  • Published:
Bulletin of Materials Science Aims and scope Submit manuscript

Abstract

Mathematical modelling is identified as one of the several techniques which may be used for process analysis. The scope of modelling in metallurgy and the steps involved in model formulation are described. Limitations of mathematical modelling in process analysis are pointed out. The need for a sound experimental programme/plant trials that must go on in parallel with the model exercise is emphasized. Three examples of mathematical modelling of metallurgical processes are presented to illustrate some of the points made above. The examples include mathematical modelling of (i) a copper convertor, (ii) interfacial phenomena in metal-ceramic systems, and (iii) mixing in a gas-stirred liquid bath.

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

  • Brimacombe J K 1986Proc. Int. Conf. on Progress in Metallurgical Research: Fundamental and Applied Aspects, (eds) S P Mehrotra and T R Ramachandran (New Delhi: Tata McGraw Hill) p. 241

    Google Scholar 

  • Chaklader A C D, Gill W W and Mehrotra S P 1981Surfaces and interfaces in ceramic and ceramic-metal systems: Material Science Research (eds) J Pask and A Evans (New York: Plenum) vol. 14, p. 421

    Google Scholar 

  • Himmelblau D M and Bischoff K B 1968Process analysis and simulation — Deterministic systems (New York: John Wiley) p. 1

    Google Scholar 

  • Hsiao T C, Lehner T and Kjellberg B 1980Scand. J. Metall. 9 105

    CAS  Google Scholar 

  • Luyben W L 1974Process modelling, simulation and control for chemical engineers (New York: McGraw Hill) p. 15

    Google Scholar 

  • Krishna Murthy G G, Ghosh A and Mehrotra S P 1986aProc. Int. Conf. on Progress in Metallurgical Research: Fundamental and Applied Aspects (eds) S P Mehrotra and T R Ramachandran (New Delhi: Tata McGraw Hill) p. 307

    Google Scholar 

  • Krishna Murthy G G, Mehrotra S P and Ghosh A 1986bProc. 5th Process Tech. Conf. TMS-AIME (ISS), p. 401

  • Krishna Murthy G G, Ghosh A and Mehrotra S P 1988a Characterisation of Two Phase Plume in a Gas Stirred Liquid Bath—A Water Model Study;Metall. Trans. B 19 885

    Article  Google Scholar 

  • Krishna Murthy G G, Mehrotra S P and Ghosh A 1988b Experimental investigation of mixing phenomena in a gas-stirred liquid bath;Metall. Trans. B 19 839

    Article  Google Scholar 

  • Krishna Murthy G G, Ghosh A and Mehrotra S P 1989 Mathematical modelling of mixing phenomena in a gas-stirred liquid bath;Metall Trans. B. 20 53

    Article  Google Scholar 

  • Mehrotra S P and Chaklader A C D 1985Metall. Trans. B16 567

    Google Scholar 

  • Nakanishi K, Fujii T and Szekeley J 1975Iron Making Steel Making 2 193

    CAS  Google Scholar 

  • Pochner J 1984Handbook of numerical analysis applications (New York: McGraw Hill) p. 4.22

    Google Scholar 

  • Ranjan N and Mehrotra S P 1986Proc. Int. Conf. on Progress in Metallurgical Research: Fundamental and Applied Aspects, (eds) S P Mehrotra and T R Ramachandran (New Delhi: Tata McGraw Hill) p. 270

    Google Scholar 

  • Themelis N J 1972Metall. Trans. 3 2021

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Metallurgical Engineering, Indian Institute of Technology, 208 016, Kanpur, India

    S P Mehrotra

Authors
  1. S P Mehrotra
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mehrotra, S.P. Role of mathematical modelling in metallurgy. Bull. Mater. Sci. 12, 353–368 (1989). https://doi.org/10.1007/BF02747142

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02747142

Keywords

Search

Navigation