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Bound-state formation in interfacial turbulence: direct numerical simulations and theory

Published online by Cambridge University Press:  28 January 2013

M. Pradas ,
S. Kalliadasis ,
P.-K. Nguyen  and
V. Bontozoglou
M. Pradas
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
S. Kalliadasis*
Affiliation:
Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
P.-K. Nguyen
Affiliation:
Department of Mechanical Engineering, University of Thessaly, Pedion Areos, GR-38334 Volos, Greece
V. Bontozoglou
Affiliation:
Department of Mechanical Engineering, University of Thessaly, Pedion Areos, GR-38334 Volos, Greece
*
†Email address for correspondence: [email protected]
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Abstract

We examine pulse interaction and bound-state formation in interfacial turbulence using the problem of a falling liquid film as a model system. We perform direct numerical simulations (DNSs) of the full Navier–Stokes equations and associated wall and free-surface boundary conditions and we examine both analytically and numerically a low-dimensional (LD) model for the film. For a two-pulse system, DNSs reveal the existence of very rich and complex pulse interactions, characterized by either overdamped, underdamped or self-sustained oscillating behaviours, all of them found to be in excellent agreement with LD results. Having demonstrated the reliability of the LD model for two-pulse systems/smaller domains, we use it to investigate larger domains with many interacting pulses, where DNSs are computationally expensive. We demonstrate that such systems are likely to be dominated by a self-sustained oscillatory dynamics.

JFM classification

Instability: Instability Interfacial Flows (free surface): Interfacial Flows (free surface) Interfacial Flows (free surface): Thin films
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 716 , 10 February 2013 , R2
Copyright
©2013 Cambridge University Press

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Pradas et al. supplementary movie

Self-sustained oscillatory dynamics in a system compound of 7 pulses that are sufficiently close to each other (initially separated by ℓ0 = 29).

Download Pradas et al. supplementary movie(Video)
Video 11.3 MB