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

Fingerprint

Analytical Modeling
Numerical Modeling
Heat
Liquid
conduction
heat
Liquids
liquids
Weightlessness
Liquid films
weightlessness
Navier Stokes equations
Linear dependence
Coupled Problems
free boundaries
Temperature distribution
Temperature Distribution
Free Boundary
Navier-Stokes equation
Heat transfer

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

Cite this

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T2 - Analytical and numerical modeling

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AU - Kabov, Oleg A.

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N2 - 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.

AB - 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.

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KW - Non-stationary problem

KW - Numerical experiments

KW - Tangential stresses

KW - Thermocapillary forces

KW - Weightlessness

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