Skip to main content
Log in

The temperature analysis of the billet with phase change during continuous casting

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, the problem of 3-D steady heat conduction including the influence of phase change on billets is turned into the 2-D transient problem by a suitable transformation technique. The effective specific heat has been employed to substitute for the effect of the phase change. The computational formulation of finite element has been presented. And the careful disposal of the phase change region has also been given.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Rolph, W. D. and K. J. Bathe, An efficient algorithm for analysis of nonlinear heat transfer with phase changes.Int. J. Numer. Methods Eng.,18, 1 (1982), 119–134.

    Article  MATH  Google Scholar 

  2. Salcudean, M., et al., Numerical simulation of casting processing,Pro. of VIII Int. Heat Transfer Conference, San Francisco (1986), 12–22.

  3. Loyd, D., et al., Thermal analysis of solidification,Int. J. Communications Appl. Numer. Methods,4 (1988), 607.

    Article  MATH  Google Scholar 

  4. Comini, et al., Finite element solution of nonlinear heat conduction problems with special reference to phase change,Int. J. Numer. Methods Eng.,8 (1974), 613–624.

    Article  MATH  Google Scholar 

  5. Pham, Q. T., A fast unconditionally stable finite difference scheme for phase change.Int. J. Heat Mass Trasfer,28, 11 (1985), 2079-2084.

    Article  MATH  Google Scholar 

  6. Voller, V. R., et al., A fixed grid numerical modelling methodology for convection-diffusion mushy region phase change problems,Int. J. Heat Mass Transfer,30, 8 (1987), 1709–1719.

    Article  Google Scholar 

  7. Yiding, C., et al., A numerical analysis of stefan problem for generalized multi-dimensional phase-change structures using the enthrapy transforming modelling,Int. J. Heat Mass Transfer,32, 7(1989), 1289–1298.

    Article  Google Scholar 

  8. Landao, L. D.,Continuum Mechanics, Technology Press (1954). (in Russian)

  9. Bathe, K. J. et al., Finite element formulation and solution of nonlinear heat transfer,Nuclear Engineering and Design,51, 2 (1979), 349–401.

    Google Scholar 

  10. Budhia, H., et al., Heat transfer with melting or freezing in a wedge,Int. J. Heat Mass Transfer,16, 2 (1973), 195–211.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xing-hua, Z., Xiao-di, C. The temperature analysis of the billet with phase change during continuous casting. Appl Math Mech 15, 109–118 (1994). https://doi.org/10.1007/BF02451045

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451045

Key words

Navigation