| Issue |
MATEC Web Conf.
Volume 84, 2016
International Symposium and School of Young Scientists “Interfacial Phenomena and Heat Transfer” (IPHT 2016)
|
|
|---|---|---|
| Article Number | 00013 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/20168400013 | |
| Published online | 16 November 2016 | |
Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions
1 Altai State University, Faculty of Mathematics and Information Technologies, pr. Lenina, 61, 656049 Barnaul, Russia
2 Kutateladze Institute of Thermophysics SB RAS, pr. Lavrentyeva, 1, 630090 Novosibirsk, Russia
a Corresponding author: katerezanova@mail.ru
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.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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