Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer

The thermocapillary flow in a thin horizontal layer of viscous incompressible liquid with free surface is considered. The deformable liquid layer is locally heated. The problem of thermocapillary deformation of the locally heated horizontal liquid layer has been solved numerically for two-dimensiona...

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Main Authors: Barakhovskaya Ella, Marchuk Igor, Legros Jean Claude
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20168400003
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author Barakhovskaya Ella
Marchuk Igor
Legros Jean Claude
author_facet Barakhovskaya Ella
Marchuk Igor
Legros Jean Claude
author_sort Barakhovskaya Ella
collection DOAJ
description The thermocapillary flow in a thin horizontal layer of viscous incompressible liquid with free surface is considered. The deformable liquid layer is locally heated. The problem of thermocapillary deformation of the locally heated horizontal liquid layer has been solved numerically for two-dimensional unsteady case. The lubrication approximation theory is used. Capillary pressure, viscosity and gravity are taken into account. Evaporating rate is supposed to be proportional to the temperature difference between the liquid surface and ambient. Heat transfer in the substrate is also simulated. The deformation of the free surface has been calculated for different values of the heating power and thickness of the liquid layer. Initially the liquid layer has flat surface and uniform temperature. The model predicts the thermocapillary deformation of the liquid surface and the formation of the thin residual layer of the liquid.
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spelling doaj.art-40fe85afef9d4435b439579a0a1f0c862022-12-21T23:36:11ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01840000310.1051/matecconf/20168400003matecconf_ipht2016_00003Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layerBarakhovskaya Ella0Marchuk IgorLegros Jean Claude1Novosibirsk State UniversityKutateladze Institute of Thermophysics, Russian Academy of SciencesThe thermocapillary flow in a thin horizontal layer of viscous incompressible liquid with free surface is considered. The deformable liquid layer is locally heated. The problem of thermocapillary deformation of the locally heated horizontal liquid layer has been solved numerically for two-dimensional unsteady case. The lubrication approximation theory is used. Capillary pressure, viscosity and gravity are taken into account. Evaporating rate is supposed to be proportional to the temperature difference between the liquid surface and ambient. Heat transfer in the substrate is also simulated. The deformation of the free surface has been calculated for different values of the heating power and thickness of the liquid layer. Initially the liquid layer has flat surface and uniform temperature. The model predicts the thermocapillary deformation of the liquid surface and the formation of the thin residual layer of the liquid.http://dx.doi.org/10.1051/matecconf/20168400003
spellingShingle Barakhovskaya Ella
Marchuk Igor
Legros Jean Claude
Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
MATEC Web of Conferences
title Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
title_full Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
title_fullStr Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
title_full_unstemmed Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
title_short Numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
title_sort numerical modelling of thermocapillary deformation in a locally heated thin horizontal volatile liquid layer
url http://dx.doi.org/10.1051/matecconf/20168400003
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AT marchukigor numericalmodellingofthermocapillarydeformationinalocallyheatedthinhorizontalvolatileliquidlayer
AT legrosjeanclaude numericalmodellingofthermocapillarydeformationinalocallyheatedthinhorizontalvolatileliquidlayer