Abstract
Inspired by many years of motivating collaboration between the first author and Prof. Manuel G. Velarde, in the field of surface-tension-driven instabilities, pattern formation, and transition to turbulence, this paper presents recent experimental results obtained in collaboration with the second and third authors at the TIPs laboratory in Brussels. Namely, the evolution of Bénard-like patterns is explored for pure liquid layers evaporating into air, from chaotic regimes down to more stable structures with predominant hexagonal symmetry. Drying liquid layers indeed appear as a particularly simple example of system where, due to the decreasing liquid depth, the preferred wavelength of the pattern is continuously decreased in time, hence requiring perpetual creation of new convective cells. Such pattern “genesis” appears to lead to disordered structures with interesting characteristics, whose preliminary experimental investigation is carried out here. This paper is dedicated to Prof. Manuel G. Velarde, at the occasion of his 70th birthday, as a mark of deep gratitude for all positive scientific and cultural influences he had and he still has on many young scientists.
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Acknowledgements
Several of the basic questions dealt with here (some of them still pending!) actually emerged already during the post-doctoral stay of the first author in Instituto Pluridisciplinar of Universidad Complutense de Madrid, where so many exciting and fruitful discussions took place not only with M.G. Velarde, but also with A.A. Nepomnyashchy, A. Rednikov, M. Bestehorn, R. Narayanan, H. Linde, L.M. Pismen, Y. Pomeau, G. Nicolis, U. Thiele, S. Kalliadasis, A. Wierschem, J. Bragard, M. Argentina, K. Eckert and V.M. Starov (non-exhaustive list). The first author is extremely grateful to M.G. Velarde for having allowed him to meet so many brilliant scientists, which, together with the exceptional scientific atmosphere of the Instituto Pluridisciplinar, have greatly contributed to his future scientific career. In addition, the authors of the present paper gratefully acknowledge financial support of ESA and BELSPO PRODEX projects, EU–FP7 MULTIFLOW Initial Training Network, ULB–BRIC, and Fonds de la Recherche Scientifique—FNRS.
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Colinet, P., Chauvet, F., Dehaeck, S. (2013). Genesis of Bénard–Marangoni Patterns in Thin Liquid Films Drying into Air. In: Rubio, R., et al. Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34070-3_15
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DOI: https://doi.org/10.1007/978-3-642-34070-3_15
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