Advertisement

Journal of engineering physics

, Volume 53, Issue 3, pp 1079–1085 | Cite as

A method for the approximate solution of a two-phase stefan problem with reverse motion of the front

  • R. I. Medvedskii
Article
  • 27 Downloads

Abstract

Determination of the trajectory of a phase transition front moving in a forward or reverse direction is reduced to the solution of an ordinary differential equation. A numerical check of the results shows the method to be highly accurate.

Keywords

Differential Equation Phase Transition Statistical Physic Reverse Direction Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    B. M. Budak, F. P. Vasil'ev, and A. B. Uspenskii, Numerical Methods in Gas Dynamics [in Russian], No. 4, Moscow (1965), pp. 139–183.Google Scholar
  2. 2.
    R. I. Medvedskii, V. I. Shevtsov, and P. A. Shmurygin, Problems Relating to Exploitation of Oil and Gas Deposits [in Russian], Tyumen (1981), pp. 51–63, No. 71.Google Scholar
  3. 3.
    R. S. Gupta and D. Kumar, Int. J. Heat and Mass Transfer,24, No. 1, 251–259 (1981).Google Scholar
  4. 4.
    F. Civan and C. Sliepcevich, Int. J. Heat Mass Transfer,27, No. 8, 1428–1430 (1984).Google Scholar
  5. 5.
    Yu. A. Bondarev, B. A. Krasoviskii, Thermal Regimes of Oil and Gas Wells [in Russian], Novosibirsk (1976).Google Scholar
  6. 6.
    V. N. Volkov and Z. N. Kuznetsova, Studies Relating to Thermal Conductivity [in Russian], Minsk (1967), pp. 298–303.Google Scholar
  7. 7.
    R. I. Medvedskii, Mathematical Modelling and Experimental Study of Heat and Mass Transport [in Russian], Yakutsk (1979), pp. 71–82.Google Scholar
  8. 8.
    J. Manning and M. N. Ozisik, Int. J. Heat Mass Transfer,28, No. 8, 1481–1485 (1985).Google Scholar
  9. 9.
    E. B. Chekalyuk, Oil Industry Geology and Oil Extraction from a Rock Shelf [in Russian], No. 38, Moscow (1968), pp. 40–42.Google Scholar
  10. 10.
    A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs (1964).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • R. I. Medvedskii
    • 1
  1. 1.West Siberian Scientific Research and Geological Oil Exploration InstituteTyumen

Personalised recommendations