The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel

E. Y. Gatapova, Y. V. Lyulin, I. V. Marchuk, O. A. Kabov, Jean Claude Legros

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

A two-dimensional model of a steady laminar flow of liquid film and co-current gas flow in a plane channel is considered. It is supposed that the height of a channel is much less than its width. There is a local heat source on the bottom wall of the channel. An analytical solution for the temperature distribution problem in locally heated liquid film is obtained, when the velocity profile is linear. An analytical solution of the linearized equation for thermocapillary film surface deformation is found. A liquid bump caused by the thermocapillary effect in the region where thermal boundary layer reaches the film surface is obtained. Damped oscillations of the free surface may exist before the bump. This is obtained according to the solution of the problem in an inclined channel. It depends on the forces balance in the film. The defining criterion is found for this effect. The oscillations of free surface do not exist for horizontally located channel.

Original languageEnglish
Title of host publicationInternational Conference on Microchannels and Minichannels
EditorsS.G. Kandlikar
Pages457-464
Number of pages8
Volume1
Publication statusPublished - 2003
Externally publishedYes
EventFirst International Conference on Microchannels and Minichannels - Rochester, NY, United States
Duration: 24 Apr 200325 Apr 2003

Other

OtherFirst International Conference on Microchannels and Minichannels
CountryUnited States
CityRochester, NY
Period24.4.0325.4.03

Fingerprint

Liquid films
Flow of gases
Laminar flow
Flow of fluids
Boundary layers
Temperature distribution
Convection
Liquids
Hot Temperature

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Gatapova, E. Y., Lyulin, Y. V., Marchuk, I. V., Kabov, O. A., & Legros, J. C. (2003). The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel. In S. G. Kandlikar (Ed.), International Conference on Microchannels and Minichannels (Vol. 1, pp. 457-464)

The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel. / Gatapova, E. Y.; Lyulin, Y. V.; Marchuk, I. V.; Kabov, O. A.; Legros, Jean Claude.

International Conference on Microchannels and Minichannels. ed. / S.G. Kandlikar. Vol. 1 2003. p. 457-464.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gatapova, EY, Lyulin, YV, Marchuk, IV, Kabov, OA & Legros, JC 2003, The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel. in SG Kandlikar (ed.), International Conference on Microchannels and Minichannels. vol. 1, pp. 457-464, First International Conference on Microchannels and Minichannels, Rochester, NY, United States, 24.4.03.
Gatapova EY, Lyulin YV, Marchuk IV, Kabov OA, Legros JC. The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel. In Kandlikar SG, editor, International Conference on Microchannels and Minichannels. Vol. 1. 2003. p. 457-464
Gatapova, E. Y. ; Lyulin, Y. V. ; Marchuk, I. V. ; Kabov, O. A. ; Legros, Jean Claude. / The thermocapillary convection in locally heated laminar liquid film flow caused by a co-current gas flow in narrow channel. International Conference on Microchannels and Minichannels. editor / S.G. Kandlikar. Vol. 1 2003. pp. 457-464
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