Skip to main content
SpringerLink
Log in

Calculation of temperature fields in the ground with water-ice phase transitions in the temperature spectrum

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

An algorithm of integration of the nonlinear heat-conduction equation for a semi-bounded medium with a uniform initial distribution of temperature and its constant value on the surface in the case of nonlinear dependence of thermophysical characteristics on temperature is described. This algorithm can be used to test numerical grid methods of calculation of temperature fields in freezing and thawing of grounds. The procedure of correction of a step-by-step mechanism of temperature variation in numerical calculation in the zone of intense phase transitions by a grid method was suggested and tested.

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. P. N. Davidovskii and G. P. Brovka, Heat and Mass Transfer in Frozen Peat Systems [in Russian], Nauka i Tekhnika, Minsk (1985).

    Google Scholar 

  2. R. D. Bachelis and V. G. Melamed, Solution of the Quasilinear Stefan-Type Problem by the Method of Straight Lines [in Russian], Dep. at VINITI on 24.06.72, No. 3941, Moscow (1972).

  3. B. M. Budak, F. P. Vasil’ev, and A. B. Uspenskii, A differential method for solving some boundary-value Stefan-type problems, in: Numerical Methods of Gas Dynamics [in Russian], Issue 4, Izd. MGU, Moscow (1965), pp. 139–183.

    Google Scholar 

  4. B. M. Budak and V. G. Melamed, Numerical solution of the Stefan-type problems for one quasilinear parabolic system, in: Computational Methods and Programming [in Russian], Issue 8, Izd. MGU, Moscow (1967), pp. 121–138.

    Google Scholar 

  5. A. V. Luikov and Yu. A. Mikhailov, Heat and Mass Transfer Theory [in Russian], Gosénergoizdat, Moscow-Leningrad (1963).

    Google Scholar 

  6. N. M. Belyaev and A. A. Ryadno, Methods of the Theory of Heat Conduction [in Russian], Pt. 2, Vysshaya Shkola, Moscow (1982).

    Google Scholar 

  7. V. G. Melamed, Heat and Mass Transfer in Rocks in Phase Conversions [in Russian], Nauka, Moscow (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Problems of Utilization of Natural Resources and the Environment, National Academy of Sciences of Belarus, 10 Staroborisovskii Tract, 220114, Minsk, Belarus

    G. P. Brovka & S. N. Ivanov

Authors
  1. G. P. Brovka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. N. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 6, pp. 112–119, November–December, 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brovka, G.P., Ivanov, S.N. Calculation of temperature fields in the ground with water-ice phase transitions in the temperature spectrum. J Eng Phys Thermophys 77, 1192–1200 (2004). https://doi.org/10.1007/s10891-005-0014-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-005-0014-9

Keywords

Search

Navigation