A foam film propagating in a confined geometry: Analysis via the viscous froth model

Grassia, P. G, Montes-Atenas, G., Lue, L. and Green, T. E. (2008) A foam film propagating in a confined geometry: Analysis via the viscous froth model. Physical Journal E: Soft Matter and Biological Physics, 25 1: 39-49.


Author Grassia, P. G
Montes-Atenas, G.
Lue, L.
Green, T. E.
Title A foam film propagating in a confined geometry: Analysis via the viscous froth model
Journal name Physical Journal E: Soft Matter and Biological Physics   Check publisher's open access policy
ISSN 1292-8941
1292-895X
Publication date 2008-02-12
Sub-type Article (original research)
DOI 10.1140/epje/i2007-10262-8
Volume 25
Issue 1
Start page 39
End page 49
Total pages 11
Place of publication Heidelberg, Germany
Publisher Springer Berlin
Language eng
Subject 029901 Biological Physics
230111 Geometry
Abstract A single film (typical of a film in a foam) moving in a confined geometry (i.e. confined between closely spaced top and bottom plates) is analysed via the viscous froth model. In the first instance the film is considered to be straight (as viewed from above the top plate) but is not flat. Instead it is curved (with a circular arc cross-section) in the direction across the confining plates. This curvature leads to a maximal possible steady propagation velocity for the film, which is characterised by the curved film meeting the top and bottom plates tangentially. Next the film is considered to propagate in a channel (i.e. between top and bottom plates and sidewalls, with the sidewall separation exceeding that of the top and bottom plates). The film is now curved along as well as across the top and bottom plates. Curvature along the plates arises from viscous drag forces on the channel sidewall boundaries. The maximum steady propagation velocity is unchanged, but can now also be associated with films meeting channel sidewalls tangentially, a situation which should be readily observable if the film is viewed from above the top plate. Observed from above, however, the film need not appear as an arc of a circle. Instead the film may be relatively straight along much of its length, with curvature pushed into boundary layers at the sidewalls.
Keyword Viscous froth model
Curved film
Propogation velocity
Viscous drag forces
Q-Index Code C1
Q-Index Status Provisional Code

Document type: Journal Article
Sub-type: Article (original research)
Collections: Julius Kruttschnitt Mineral Research Centre Publications
Excellence in Research Australia (ERA) - Collection
 
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