Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions
The two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or Oberbeck-Boussinesq equations in the case, when...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20168400013 |
| _version_ | 1819176653831536640 |
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| author | Goncharova Olga Rezanova Ekaterina |
| author_facet | Goncharova Olga Rezanova Ekaterina |
| author_sort | Goncharova Olga |
| collection | DOAJ |
| description | The two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or Oberbeck-Boussinesq equations in the case, when the generalized conditions are formulated at thermocapillary interface. The evolution equations for the film thickness include the effects of gravity, viscosity, capillarity, thermocapillarity, additional stress effects and evaporation. |
| first_indexed | 2024-12-22T21:14:11Z |
| format | Article |
| id | doaj.art-8cadc5742bd049eea2be66e182c468e6 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-22T21:14:11Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-8cadc5742bd049eea2be66e182c468e62022-12-21T18:12:25ZengEDP SciencesMATEC Web of Conferences2261-236X2016-01-01840001310.1051/matecconf/20168400013matecconf_ipht2016_00013Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface ConditionsGoncharova OlgaRezanova EkaterinaThe two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or Oberbeck-Boussinesq equations in the case, when the generalized conditions are formulated at thermocapillary interface. The evolution equations for the film thickness include the effects of gravity, viscosity, capillarity, thermocapillarity, additional stress effects and evaporation.http://dx.doi.org/10.1051/matecconf/20168400013 |
| spellingShingle | Goncharova Olga Rezanova Ekaterina Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions MATEC Web of Conferences |
| title | Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions |
| title_full | Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions |
| title_fullStr | Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions |
| title_full_unstemmed | Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions |
| title_short | Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions |
| title_sort | mathematical modelling of the evaporating liquid films on the basis of the generalized interface conditions |
| url | http://dx.doi.org/10.1051/matecconf/20168400013 |
| work_keys_str_mv | AT goncharovaolga mathematicalmodellingoftheevaporatingliquidfilmsonthebasisofthegeneralizedinterfaceconditions AT rezanovaekaterina mathematicalmodellingoftheevaporatingliquidfilmsonthebasisofthegeneralizedinterfaceconditions |