Deformation of a viscous heat conducting free liquid layer by the thermocapillary forces and tangential stresses: Analytical and numerical modeling

Olga N. Goncharova, Oleg A. Kabov

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The coupled problem of a non stationary flow of a liquid layer with free boundaries and heat transfer in a layer is investigated under conditions of weightlessness. To describe the layer deformations caused by the inhomogeneous temperature distributions and additional tangential stresses a class of the solutions of the Navier-Stokes equations is used. The two-dimensional solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results of the problem of the heat conducting liquid layer deformations allow to characterize a behavior of the free liquid films and to control the mechanisms of deformations.

Original languageEnglish
Pages (from-to)407-414
Number of pages8
JournalMicrogravity Science and Technology
Volume22
Issue number3
DOIs
Publication statusPublished - 1 Sep 2010
Externally publishedYes

Keywords

  • Exact solutions
  • Free boundary
  • Non-stationary problem
  • Numerical experiments
  • Tangential stresses
  • Thermocapillary forces
  • Weightlessness

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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