On the use of Galerkin-Eckhaus method to study the nonlinear regime of Marangoni-Bénard instabilities in an evaporating liquid layer

J. Margerit, M. Dondlinger and P. C. Dauby ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 4, 485-492

Abstract: 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 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, (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2007-00020-0

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