Self-similarity of solitary waves on inertia-dominated falling liquid films

• DOI: 10.1103/physreve.93.033121
• Publication Date: 2016-03-21T19:08:12Z
• Authors: Fabian Denner; Marc Pradas; Alexandros Charog...; Christos N. Markides; Berend G. M. van ...; Serafim Kalliadasis
• Keywords: Capillary wave; Weber number

We propose consistent scaling of solitary waves on inertia-dominated falling liquid films, which accurately accounts for the driving physical mechanisms and leads to a self-similar characterization waves. Direct numerical simulations entire two-phase system are conducted using state-of-the-art finite volume framework interfacial flows in an open domain that was previously validated against experimental film-flow data with excellent agreement. present detailed analysis wave shape dispersion 34 different water films Reynolds numbers $\mathrm{Re}=20--120$ surface tension coefficients $\ensuremath{\sigma}=0.0512--0.072\phantom{\rule{0.28em}{0ex}}\mathrm{N}\phantom{\rule{0.16em}{0ex}}{\mathrm{m}}^{\ensuremath{-}1}$ substrates inclination angles $\ensuremath{\beta}={19}^{\ensuremath{\circ}}--{90}^{\ensuremath{\circ}}$. Following these cases we formulate waves, based newly proposed derived from Nusselt flat film solution, unveils self-similarity as well mechanism gravity-driven films. Our results demonstrate i.e., height asymmetry wave, is predominantly influenced by balance inertia tension. Furthermore, find considered this study governed nonlinear effects only driven inertia, gravity having negligible influence.