Journal article icon

Journal article

Surface-tension- and injection-driven spreading of a thin viscous film

Abstract:

We consider the spreading of a thin viscous droplet, injected through a finite region of a substrate, under the influence of surface tension. We neglect gravity and assume that there is a precursor layer covering the whole substrate and that the rate of injection is constant. We analyse the evolution of the film profile for early and late time, and obtain power-law dependencies for the maximum film thickness at the centre of the injection region and the position of an apparent contact line, w...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

Actions


Access Document


Files:
Publisher copy:
10.1017/jfm.2018.934

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
ORCID:
0000-0001-6882-7977
More from this funder
Funding agency for:
Griffiths, IM
More from this funder
Grant:
EPSRC Centre For Doctoral Training in Industrially Focused Mathematical Modelling (EP/L015803/1)
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
861
Pages:
765-795
Publication date:
2018-12-28
Acceptance date:
2018-11-12
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Pubs id:
pubs:943670
URN:
uri:2079938e-f288-48a5-bcd9-b1b8cb0761a3
UUID:
uuid:2079938e-f288-48a5-bcd9-b1b8cb0761a3
Local pid:
pubs:943670

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP