Long-wavelength stability of an unsupported multilayer liquid film falling under gravity

Author: 

Dyson, R
Brander, J
Breward, C
Howell, P

Publication Date: 

9 March 2009

Journal: 

Journal of Engineering Mathematics

Last Updated: 

2020-07-22T04:45:26.757+01:00

Issue: 

3

Volume: 

64

DOI: 

10.1007/s10665-009-9278-y

page: 

237-250

abstract: 

The long-wavelength stability of an unsupported multilayer liquid film falling under the effects of gravity and surface tension is investigated. By considering the Navier-Stokes equations for two fluid layers in the high-Reynolds-number and small-aspect-ratio limits the steady-state solutions are obtained. The stability criterion found by Lin (J Fluid Mech 104:111-118, 1981) for a one-layer fluid curtain is generalised to the two-layer case and the criterion for an n-layer curtain is established. © Springer Science+Business Media B.V. 2009.

Symplectic id: 

21889

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article