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Out-of-plane buckling in two-dimensional glass drawing

Abstract:

We derive a mathematical model for the drawing of a two-dimensional thin sheet of viscous fluid in the direction of gravity. If the gravitational field is sufficiently strong, then a portion of the sheet experiences a compressive stress and is thus unstable to transverse buckling. We analyse the dependence of the instability and the subsequent evolution on the process parameters, and the mutual coupling between the weakly nonlinear buckling and the stress profile in the sheet. Over long time ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2019.221

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-8535-2395
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
869
Pages:
587-609
Publication date:
2019-04-29
Acceptance date:
2019-02-14
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Pubs id:
pubs:974924
UUID:
uuid:14a55d59-2620-41c0-82aa-c3cded943166
Local pid:
pubs:974924
Source identifiers:
974924
Deposit date:
2019-02-20

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