Deformation of the free surface in a moving locally-heated thin liquid layer

O. A. Kabov, Jean Claude Legros, I. V. Marchuk, B. Sheid

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Liquid film flow on a vertical surface is studied experimentally and theoretically under the determining influence of the thermocapillary forces. In the two-dimensional steady-state case the shape of the film surface is calculated numerically within the thin layer approximation with allowance for the temperature dependence of the viscosity of the liquid and redistribution of the heat flux in the heating element. A local heat source was used in the experiments to produce temperature gradients up to 10 K/mm on the liquid surface. The film thickness was determined by means of the schlieren method with reflection. The relative thickness of the roller in the upper heater edge zone, characteristic of the formation of regular structures, is measured. The thickness is h/h 0 = 1.32 ± 0.07, which agrees satisfactorily with the results of numerical calculations.

Original languageEnglish
Pages (from-to)521-528
Number of pages8
JournalFluid Dynamics
Volume36
Issue number3
DOIs
Publication statusPublished - 10 Nov 2001
Externally publishedYes

Fingerprint

rollers
liquid surfaces
Liquids
liquids
heat sources
allowances
heaters
Electric heating elements
heat flux
temperature gradients
film thickness
Liquid films
viscosity
Thermal gradients
temperature dependence
heating
Film thickness
Heat flux
approximation
Viscosity

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

Deformation of the free surface in a moving locally-heated thin liquid layer. / Kabov, O. A.; Legros, Jean Claude; Marchuk, I. V.; Sheid, B.

In: Fluid Dynamics, Vol. 36, No. 3, 10.11.2001, p. 521-528.

Research output: Contribution to journalArticle

Kabov, O. A. ; Legros, Jean Claude ; Marchuk, I. V. ; Sheid, B. / Deformation of the free surface in a moving locally-heated thin liquid layer. In: Fluid Dynamics. 2001 ; Vol. 36, No. 3. pp. 521-528.
@article{1479d702ba1e4ec2856c45144edb90e2,
title = "Deformation of the free surface in a moving locally-heated thin liquid layer",
abstract = "Liquid film flow on a vertical surface is studied experimentally and theoretically under the determining influence of the thermocapillary forces. In the two-dimensional steady-state case the shape of the film surface is calculated numerically within the thin layer approximation with allowance for the temperature dependence of the viscosity of the liquid and redistribution of the heat flux in the heating element. A local heat source was used in the experiments to produce temperature gradients up to 10 K/mm on the liquid surface. The film thickness was determined by means of the schlieren method with reflection. The relative thickness of the roller in the upper heater edge zone, characteristic of the formation of regular structures, is measured. The thickness is h/h 0 = 1.32 ± 0.07, which agrees satisfactorily with the results of numerical calculations.",
author = "Kabov, {O. A.} and Legros, {Jean Claude} and Marchuk, {I. V.} and B. Sheid",
year = "2001",
month = "11",
day = "10",
doi = "10.1023/A:1019256606560",
language = "English",
volume = "36",
pages = "521--528",
journal = "Fluid Dynamics",
issn = "0015-4628",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

TY - JOUR

T1 - Deformation of the free surface in a moving locally-heated thin liquid layer

AU - Kabov, O. A.

AU - Legros, Jean Claude

AU - Marchuk, I. V.

AU - Sheid, B.

PY - 2001/11/10

Y1 - 2001/11/10

N2 - Liquid film flow on a vertical surface is studied experimentally and theoretically under the determining influence of the thermocapillary forces. In the two-dimensional steady-state case the shape of the film surface is calculated numerically within the thin layer approximation with allowance for the temperature dependence of the viscosity of the liquid and redistribution of the heat flux in the heating element. A local heat source was used in the experiments to produce temperature gradients up to 10 K/mm on the liquid surface. The film thickness was determined by means of the schlieren method with reflection. The relative thickness of the roller in the upper heater edge zone, characteristic of the formation of regular structures, is measured. The thickness is h/h 0 = 1.32 ± 0.07, which agrees satisfactorily with the results of numerical calculations.

AB - Liquid film flow on a vertical surface is studied experimentally and theoretically under the determining influence of the thermocapillary forces. In the two-dimensional steady-state case the shape of the film surface is calculated numerically within the thin layer approximation with allowance for the temperature dependence of the viscosity of the liquid and redistribution of the heat flux in the heating element. A local heat source was used in the experiments to produce temperature gradients up to 10 K/mm on the liquid surface. The film thickness was determined by means of the schlieren method with reflection. The relative thickness of the roller in the upper heater edge zone, characteristic of the formation of regular structures, is measured. The thickness is h/h 0 = 1.32 ± 0.07, which agrees satisfactorily with the results of numerical calculations.

UR - http://www.scopus.com/inward/record.url?scp=0034782708&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034782708&partnerID=8YFLogxK

U2 - 10.1023/A:1019256606560

DO - 10.1023/A:1019256606560

M3 - Article

VL - 36

SP - 521

EP - 528

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 3

ER -