par Kabova, Yu Y.O.;Kuznetsov, Vladimir;Kabov, Oleg 
Référence International Journal of Heat and Mass Transfer, 55, 4, page (1271-1278)
Publication Publié, 2012-01
Référence International Journal of Heat and Mass Transfer, 55, 4, page (1271-1278)
Publication Publié, 2012-01
Article révisé par les pairs
| Résumé : | Theoretical and numerical investigations of the heat transfer and hydrodynamics in a liquid film flowing along an inclined substrate under the action of gravity with a local heat source have been performed. A two-dimensional model, based on the thin layer approximation, has been developed describing deformations of the film interface. Equation of a non-isothermal thin-film flow with linear dependence of viscosity and surface tension on temperature is derived. A generalized analytical formula for the film thickness as a function of liquid flow-rate is obtained. Marangoni flow, due to local temperature changes, opposes the gravitationally driven film flow and forms a horizontal bump near the upper edge of the heater. Attention is paid to the viscosity effect on the shape of the bump and the film thinning on the local heaters. A second order deformation of the free surface before the bump up to flow may exist. The criterion for the appearance of this deformation is found analytically. © 2011 Elsevier Ltd. All rights reserved. |
