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.
| Original language | English |
|---|---|
| Pages (from-to) | 418-421 |
| Number of pages | 4 |
| Journal | Technical Physics Letters |
| Volume | 30 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2004 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Thermocapillary deformation of a locally heated liquid film moving under the action of a gas flow. / Gatapova, E. Ya; Kabov, O. A.; Marchuk, I. V.
In: Technical Physics Letters, Vol. 30, No. 5, 01.05.2004, p. 418-421.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermocapillary deformation of a locally heated liquid film moving under the action of a gas flow
AU - Gatapova, E. Ya
AU - Kabov, O. A.
AU - Marchuk, I. V.
PY - 2004/5/1
Y1 - 2004/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=3042540240&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3042540240&partnerID=8YFLogxK
U2 - 10.1134/1.1760873
DO - 10.1134/1.1760873
M3 - Article
VL - 30
SP - 418
EP - 421
JO - Technical Physics Letters
JF - Technical Physics Letters
SN - 1063-7850
IS - 5
ER -