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Stability of falling liquid films on flexible substrates

Abstract:

The linear stability of a liquid film falling down an inclined flexible plane under the influence of gravity is investigated using analytical and computational techniques. A general model for the flexible substrate is used leading to a modified Orr-Sommerfeld problem addressed numerically using a Chebyshev tau decomposition. Asymptotic limits of long waves and small Reynolds numbers are addressed analytically and linked to the computations. For long waves, the flexibility has a destabilising ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2020.538

Authors


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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
900
Article number:
A40
Publication date:
2020-08-13
Acceptance date:
2020-06-18
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Language:
English
Keywords:
Pubs id:
1126018
Local pid:
pubs:1126018
Deposit date:
2021-06-25

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