Skip to main content
SpringerLink
Log in

Method of “joining” of solutions in the determination of a plane and a cylindrical phase interface in the Stefan problem

  • Published:
Journal of engineering physics Aims and scope

Abstract

It is shown that the position of the phase interface in the Stefan problem can be expressed through two functions: One function determines the position of the melting-temperature isotherm in the problem without phase transitions and the second does not depend on time.

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

Literature cited

  1. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford University Press (1959).

  2. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

    Google Scholar 

  3. A. V. Lykov, Heat Conduction and Diffusion in the Production of Leather, Synthetics, and Other Materials [in Russian], Gizlegprom, Moscow-Leningrad (1941).

    Google Scholar 

  4. I. M. Kutasov, Freiberger Forschungshefte,C238, 55–61 (1968).

    Google Scholar 

  5. B. M. Budak, F. P. Vasil'ev, and A. V. Uspenskii, Numerical Methods in Phase Dynamics [in Russian], Vol. 4, Vychisl. Tsentr. Mosk. Gos. Univ. (1965), pp. 139–183.

  6. J. C. Jaeger, J. Math. Phys.,34, No. 4, 316–321 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Cryopedology, Siberian Branch, Academy of Sciences of the SSSR, Yakutsk

    I. M. Kutasov, V. T. Balobaev & R. Ya. Demchenko

Authors
  1. I. M. Kutasov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. T. Balobaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Ya. Demchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 1, pp. 148–152, July, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kutasov, I.M., Balobaev, V.T. & Demchenko, R.Y. Method of “joining” of solutions in the determination of a plane and a cylindrical phase interface in the Stefan problem. Journal of Engineering Physics 33, 848–852 (1977). https://doi.org/10.1007/BF00861430

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00861430

Keywords

Search

Navigation