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
  • 20 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 

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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