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Journal of engineering physics

, Volume 31, Issue 5, pp 1328–1333 | Cite as

Numerical algorithm of the solution of the multiphase Stefan problem

  • É. G. Palagin
Article
  • 25 Downloads

Abstract

A method is proposed for computing the temperature and position of the phase interface based on the passage to new variables and a new function. The transformation is invariant relative to the heat-conduction equation, and the boundaries in the new variables are fixed.

Keywords

Statistical Physic Numerical Algorithm Phase Interface Stefan Problem 
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.

Notation

t

time

z

coordinate

T(z, t)

temperature

λ(z, t),a(z, t)

coefficients of thermal conductivity and thermal diffusivity, respectively

hm(t)

coordinates of the phase-interface position

H

lower boundary coordinate

L

heat of the phase transition

γ

volume weight of the soil

w0(z)

given moisture distribution in the soil

w0

experimentally determined quality of moisture which does not freeze at 0°C

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Literature cited

  1. 1.
    L. I. Rubinshtein, Stefan Problem [in Russian], Zvaigne, Riga (1967).Google Scholar
  2. 2.
    B. M. Budak, F. P. Vasil'ev, and A. V. Uspenskii, Numerical Methods in Gasdynamics. Proceedings of Moscow State University Computation Center [in Russian], No. 4, Izd. Mosk. Gos. Univ. (1965).Google Scholar
  3. 3.
    B. N. Dostovalov and V. A. Kudryavtsev, General Geocryology [in Russian], Izd. Mosk. Gos. Univ. (1967).Google Scholar
  4. 4.
    Kh. Zh. Dikinov, Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,3, No. 6 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • É. G. Palagin
    • 1
  1. 1.Leningrad Hydrometeorological InstituteLeningrad

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