Temperature dependent viscosity and surface tension effects on deformations of non-isothermal falling liquid film

Yu O. Kabova, V. V. Kuznetsov, O. A. Kabov

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Theoretical and numerical investigations of the heat transfer and hydrodynamics in a liquid film flowing along an inclined substrate under the action of gravity with a local heat source have been performed. A two-dimensional model, based on the thin layer approximation, has been developed describing deformations of the film interface. Equation of a non-isothermal thin-film flow with linear dependence of viscosity and surface tension on temperature is derived. A generalized analytical formula for the film thickness as a function of liquid flow-rate is obtained. Marangoni flow, due to local temperature changes, opposes the gravitationally driven film flow and forms a horizontal bump near the upper edge of the heater. Attention is paid to the viscosity effect on the shape of the bump and the film thinning on the local heaters. A second order deformation of the free surface before the bump up to flow may exist. The criterion for the appearance of this deformation is found analytically.

Original languageEnglish
Pages (from-to)1271-1278
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number4
DOIs
Publication statusPublished - 31 Jan 2012

Fingerprint

Liquid films
falling
Surface tension
interfacial tension
Viscosity
viscosity
liquids
heaters
Temperature
temperature
Film thickness
liquid flow
Gravitation
Hydrodynamics
heat sources
two dimensional models
Flow rate
Heat transfer
Thin films
film thickness

Keywords

  • Falling liquid film
  • Local heaters
  • Thermocapillarity
  • Variable viscosity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Temperature dependent viscosity and surface tension effects on deformations of non-isothermal falling liquid film. / Kabova, Yu O.; Kuznetsov, V. V.; Kabov, O. A.

In: International Journal of Heat and Mass Transfer, Vol. 55, No. 4, 31.01.2012, p. 1271-1278.

Research output: Contribution to journalArticle

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