Thermocapillary deformation of a locally heated liquid film moving under the action of a gas flow

E. Ya Gatapova, O. A. Kabov, I. V. Marchuk

Research output: Contribution to journalArticle

28 Citations (Scopus)


We propose a two-dimensional model of a steady laminar flow of a liquid film in a channel in the presence of a cocurrent gas flow. An analytical solution for the problem of temperature distribution is obtained for a linear flow velocity profile. The linearized problem of thermocapillary deformation of the film surface caused by local heating at a constant heat flux is solved. It is established that a thermocapillary bump is formed in the region where a thermal boundary layer emerges on the film surface. Additional perturbations, decaying in the upstream direction, can be present on the free surface in front of the bump. A criterion determining this effect is found.

Original languageEnglish
Pages (from-to)418-421
Number of pages4
JournalTechnical Physics Letters
Issue number5
Publication statusPublished - 1 May 2004


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this