https://doi.org/10.1140/epjst/e2011-01362-x
Regular Article
Numerical study of convection induced by evaporation in cylindrical geometry
1 Univ. Paris-Sud XI, LIMSI-CNRS, BP. 133, 91403 Orsay Cedex, France
2 Univ. Paris-Est, Lab. MSME, UMR 8208 CNRS, 77454 Marne-la-Vallée, France
3 UPMC Univ. Paris VI, Univ. Paris-Sud, CNRS, lab. FAST, Bât. 502, 91405 Orsay Cedex, France
a e-mail: eric.chenier@univ-paris-est.fr
Received:
21
January
2011
Revised:
25
January
2011
Published online:
9
March
2011
Numerical simulations of convection induced by solvent evaporation during the drying of a polymer solution are considered. This paper focuses on the transient thermal regime occurring at the beginning of the drying and transient solutal effects are not taken into account. The onset of convection (Bénard-Marangoni and Rayleigh-Bénard) is studied for a large range of initial thicknesses and viscosities. Several stochastic models are compared to analyze the influence of the perturbation description on the transition thresholds. Two-dimensional (2D) and three-dimensinal (3D) models are shown to give close results. The 3D model is used to characterize the pattern evolution during the drying. In the case of surface tension driven convection, a method is developed to describe the cells morphology and their time evolution.
© EDP Sciences, Springer-Verlag, 2011
