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Lyapunov dimension of elastic turbulence

Abstract:

Low-Reynolds-number polymer solutions exhibit a chaotic behaviour known as 'elastic turbulence' when the Weissenberg number exceeds a critical value. The two-dimensional Oldroyd-B model is the simplest constitutive model that reproduces this phenomenon. To make a practical estimate of the resolution scale of the dynamics, one requires the assumption that an attractor of the Oldroyd-B model exists; numerical simulations show that the quantities on which this assumption is based are bounded. We...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2017.267

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
ORCID:
0000-0003-2268-424X
European Cooperation in Science and Technology More from this funder
Education, Audiovisual, and Culture Executive Agency of the European Commission More from this funder
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
822
Pages:
R4
Publication date:
2017-06-06
Acceptance date:
2017-04-05
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Pubs id:
pubs:834667
URN:
uri:cea688d6-655c-4dfc-9f87-931a1094c28a
UUID:
uuid:cea688d6-655c-4dfc-9f87-931a1094c28a
Local pid:
pubs:834667

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