Solidification modeling of continuous casting process

  • V. S. Lerner
  • Y. S. Lerner
Modeling And Simulation

Abstract

The aim of the present work was to utilize a new systematic mathematical-informational approach based on informational macrodynamics (IMD) to model and optimize the casting process, taking as an example horizontal continuous casting (HCC). The IMD model takes into account the interrelated thermal, diffusion, kinetic, hydrodynamic, and mechanical effects that are essential for the given casting process. The optimum technological process parameters are determined by the simultaneous solution of problems of identification and optimal control. The control functions of the synthesized optimal model are found from the extremum of the entropy functional having a particular sense of an integrated assessment of the continuous cast bar physicochemical properties. For the physical system considered, the IMD structures of the optimal model are connected with controllable equations of nonequilibrium thermodynamics. This approach was applied to the HCC of ductile iron, and the results were compared with experimental data and numerical simulation. Good agreement was confirmed between the predicted and practical data, as well as between new and traditional methods.

Keywords

continuous casting ductile iron informational macrodynamics optimization solidification modeling 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. Goodell, Continuous Casting of Ductile Iron: A Numerical Approach, AFS Trans., (Vol 95), 1987, p 613–616Google Scholar
  2. 2.
    Y.P. Zhang and J.Y. Su, Modeling on Solidification Process of Horizontal Continuous Casting of Round Iron Bars, AFS Trans., Vol. 109 (No. 01-110 P 1-5), 2001, p 1–5Google Scholar
  3. 3.
    V. Lerner, Mathematical Foundation of Information Macrodynamics, Int. J. Syst. Anal. Model. Simulat., Vol 26, 1996, p 119–184.MATHGoogle Scholar
  4. 4.
    V. Lerner, Variation Principle in Informational Macrodynamics, Kluwer Academic Publishers, 2003Google Scholar
  5. 5.
    C. Eabu, Properties of Continuous Cast Austempered Ductile Iron Bar, 2nd Int. Conf. on Austempered Ductile Iron: Your Means to Improve Performance, Productivity and Cost, ASME, 1985, p 215–226Google Scholar
  6. 6.
    Y. Lerner and G. Griffin, Developments in Continuous Casting of Gray and Ductile Iron, Mod. Cast., 1997, p 41–44Google Scholar
  7. 7.
    Y. Lerner, Continuous Casting of Ductile Iron. Solidification, Microstructure, and Properties, ISS 50th Electric Furnace Conf. Proc., Vol 50, 1992, p 331–340Google Scholar
  8. 8.
    V. Lerner and Y. Lerner, A New Approach to the Solidification Modeling of Casting Processes, Proc. 1st Int. Conf. on Mathematical Modeling of Metalworking Processes, MMT, 2000, p 351–360Google Scholar

Copyright information

© ASM International 2005

Authors and Affiliations

  • V. S. Lerner
    • 1
  • Y. S. Lerner
    • 2
  1. 1.Marina Del Rey
  2. 2.Department of Industrial TechnologyUniversity of Northern IowaCedar Falls

Personalised recommendations