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  4. Instability of a thin viscous film flowing under an inclined substrate: steady patterns
 
research article

Instability of a thin viscous film flowing under an inclined substrate: steady patterns

Lerisson, Gaetan  
•
Ledda, Pier Giuseppe  
•
Balestra, Gioele  
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September 10, 2020
Journal of Fluid Mechanics

The flow of a thin film coating the underside of an inclined substrate is studied. We measure experimentally spatial growth rates and compare them to the linear stability analysis of a flat film modelled by the lubrication equation. When forced by a stationary localized perturbation, a front develops that we predict with the group velocity of the unstable wave packet. We compare our experimental measurements with numerical solutions of the nonlinear lubrication equation with complete curvature. Streamwise structures dominate and saturate after some distance. We recover their profile with a one-dimensional lubrication equation suitably modified to ensure an invariant profile along the streamwise direction and compare them with the solution of a purely two-dimensional pendent drop, showing overall a very good agreement. Finally, those different profiles agree also with a two-dimensional simulation of the Stokes equations.

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Type
research article
DOI
10.1017/jfm.2020.396
Web of Science ID

WOS:000544237500001

Author(s)
Lerisson, Gaetan  
•
Ledda, Pier Giuseppe  
•
Balestra, Gioele  
•
Gallaire, Francois  
Date Issued

2020-09-10

Publisher

Cambridge University Press

Published in
Journal of Fluid Mechanics
Volume

898

Start page

A6

Subjects

Mechanics

•

Physics, Fluids & Plasmas

•

Physics

•

absolute

•

convective instability

•

nonlinear instability

•

thin films

•

rayleigh-taylor instability

•

falling film

•

dynamics

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LFMI  
Available on Infoscience
July 16, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/170138
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