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

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.
Publication status:
Published

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Publisher copy:
10.1007/s10665-009-9278-y

Authors


Brander, J More by this author
Breward, CJW More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF ENGINEERING MATHEMATICS
Volume:
64
Issue:
3
Pages:
237-250
Publication date:
2009-07-05
DOI:
EISSN:
1573-2703
ISSN:
0022-0833
URN:
uuid:c3ea8b1a-4774-4d33-aef3-99b0b9041875
Source identifiers:
21889
Local pid:
pubs:21889

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