par Kalliadasis, Serafim;Ruyer-Quil, Christian;Scheid, Benoît 
;Velarde, Manuel G.
Référence Springer-Verlag, London, Ed. Volume 176 du périodique Applied mathematical sciences, ISSN 0066-5452
Publication Publié, 2012
;Velarde, Manuel G. Référence Springer-Verlag, London, Ed. Volume 176 du périodique Applied mathematical sciences, ISSN 0066-5452
Publication Publié, 2012
Ouvrage en collaboration
| Résumé : | Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. |
