One-dimensional motion of an emulsion with solidification

  • A. G. Petrova
  • V. V. Pukhnachev
Article

Abstract

A mathematical model is proposed for the process of solidification of an emulsion with a small disperse-phase concentration moving under the action of thermocapillary forces and microgravity. The first-approximation problem that arises when solutions are represented as asymptotic series in a small parameter is examined. Conditions for the partial and complete displacement of the impurity from the solidified part and conditions for the accumulation of the impurity in the solidified mixture are obtained. The problem of producing a composite with a specified disperse-phase distribution is considered. Exact solutions that adequately reflect various features of the qualitative behavior of the general solution under different input data are obtained and examined.

Keywords

Travel Wave Solution Stefan Problem Strong Discontinuity Liquid Matrix Thermocapillary Force 
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.

References

  1. 1.
    V. V. Pukhnachov and O. V. Voinov, “Mathematical model of the motion of an emulsion under the effect of thermocapillary forces and microacceleration,” in:Abstracts of the Ninth European Symposium on Gravity Dependent Phenomena in Physical Sciences, Berlin (1995), pp. 32–33.Google Scholar
  2. 2.
    A. G. Petrova, “Monotonicity of the free boundary in the Stefan two-phase problem,”Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,67, 97–99 (1984).MATHMathSciNetGoogle Scholar
  3. 3.
    A. N. Tikhonov and A. A. Samarskii,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1972).MATHGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. G. Petrova
    • 1
  • V. V. Pukhnachev
    • 2
  1. 1.Altai State UniversityBarnaul
  2. 2.Lavrent’ev Institute of HydrodynamicsNovosibirsk

Personalised recommendations