On the use of Galerkin-Eckhaus method to study the nonlinear regime of Marangoni-Bénard instabilities in an evaporating liquid layer
Université de Liège, Institut de Physique B5a, Allée du 6 Août 17, 4000 Liège, Belgium
Corresponding author: a email@example.com
Revised: 8 December 2006
Published online: 24 January 2007
We investigate theoretically Marangoni-Bénard instability in an evaporating liquid layer surmounted by its vapor and an inert gas. A Galerkin-Eckhaus method, based on a slaving principle and an iterative algorithm, and a direct finite element method are used to determine the evaporation rate above the convective threshold. Both methods provide precise quantitative results, even far from the linear stability threshold.
PACS: 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking / 47.20.Hw – Morphological instability; phase changes / 47.20.Dr – Surface-tension-driven instability / 47.55.pf – Marangoni convection
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007