Journal of engineering physics

, Volume 39, Issue 1, pp 781–785 | Cite as

Stability of the interphase surface in the freezing of moist ground

  • Yu. S. Daniélyan
  • P. A. Yanitskii
Article
  • 13 Downloads

Abstract

It is suggested that the formation of ice layers should be regarded as a consequence of a loss of stability of the motion of the freezing front. The kinetics of the freezing process is investigated and a stability criterion is obtained.

Keywords

Statistical Physic Stability Criterion Freezing Process Interphase Surface Freezing Front 

Notation

s(t)

coordinate of the moving front

L

length of the specimen

k

moisture conductivity

W

moisture content

χ

heat of phase transition

WH

amount of unfrozen water

q

flow of moisture from the melted zone into the frozen zone

v

velocity of motion of the front

Ti

temperature

Qi

heat flux

λi

thermal conductivity

ai

thermal diffusivity (i=1 is the frozen zone and i=2 is the melted zone)

α

mass transfer coefficient

TH

the initial temperature

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Literature cited

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    G. M. Fel'dman, “Calculation of the migration of moisture and determination of the complex texture of the ground on freezing,” Inzh.-Fiz. Zh.,13, No. 6, 176–181 (1967).Google Scholar
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    V. G. Melamed, “Mathematical formulation and algorithm for solving the problem of heat and mass transfer in-moist finely dispersed ground when there are phase transitions,” in: Frost Research, No. 10, Moscow State Univ., Moscow, 79–90 (1969).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Yu. S. Daniélyan
    • 1
  • P. A. Yanitskii
    • 1
  1. 1.V. I. Muravlenko GiprotyumenneftegazUSSR

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