Numerical study of a non-local weakly nonlinear model for a liquid film sheared by a turbulent gas

Te-Sheng Lin, Dmitri Tseluiko, Serafim Kalliadasis

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations

Abstract

We investigate a weakly nonlinear equation that arises in the modelling of wave dynamics on a liquid film flowing down an inclined plane when a turbulent gas flows above it. The model is the Kuramoto-Sivashinsky equation with an additional non-local term multiplied by a parameter representing the relative importance of the turbulent gas. The non-local term has a dispersive effect, destabilising effect on long waves and stabilising or destabilising effect on short waves depending on whether the gas flows downwards or upwards. We investigate the influence of this term on the dynamics of the Kuramoto-Sivashinsky equation by extensive numerical experiments. When the gas parameter is sufficiently large, the solution evolves into a row of weakly interacting pulses.

Original languageEnglish
Pages (from-to)98-109
Number of pages12
JournalProcedia IUTAM
Volume11
DOIs
StatePublished - 1 Jan 2014
EventIUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale - Limassol, Cyprus
Duration: 14 Apr 201317 Apr 2013

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