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

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Abstract

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.

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, Russia

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

Authors
  1. E. Ya. Gatapova
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  2. O. A. Kabov
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  3. I. V. Marchuk
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Additional information

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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 30, No. 10, 2004, pp. 46–52.

Original Russian Text Copyright © 2004 by Gatapova, Kabov, Marchuk.

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Gatapova, E.Y., Kabov, O.A. & Marchuk, I.V. Thermocapillary deformation of a locally heated liquid film moving under the action of a gas flow. Tech. Phys. Lett. 30, 418–421 (2004). https://doi.org/10.1134/1.1760873

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  • DOI: https://doi.org/10.1134/1.1760873

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