dc.contributor.author |
Haines, P |
en |
dc.contributor.author |
Denier, James |
en |
dc.contributor.author |
Bassom, AP |
en |
dc.date.accessioned |
2014-11-12T01:38:32Z |
en |
dc.date.issued |
2013-08 |
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dc.identifier.citation |
Journal of Non-Newtonian Fluid Mechanics, 2013, 198 pp. 125 - 135 |
en |
dc.identifier.issn |
0377-0257 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/23454 |
en |
dc.description.abstract |
We investigate the Dean instability for a generalised Newtonian fluid which satisfies an approximately power-law viscosity model, albeit modified to incorporate a low-shear Newtonian plateau. Infinite aspect ratio linear stability results are presented for both a narrow-gap width and a finite radius of curvature. These results reveal a surprising sensitivity to the details of the low-shear Newtonian region. Finite element solutions of the axisymmetric Navier–Stokes equations for flow through a finite aspect ratio duct confirm this sensitivity and, in addition, demonstrate the potential for hysteresis on the primary branch of vortices. A detailed bifurcation analysis over a range of the aspect ratio reveals that the nonlinear structure of the problem is qualitatively similar to that for a Newtonian fluid despite the apparently quite distinctive behaviour when a comparison is made at a fixed aspect ratio. |
en |
dc.relation.ispartofseries |
Journal of Non-Newtonian Fluid Mechanics |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy http://www.sherpa.ac.uk/romeo/issn/0377-0257/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.title |
The Dean instability for shear-thinning fluids |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.jnnfm.2013.05.004 |
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pubs.begin-page |
125 |
en |
pubs.volume |
198 |
en |
pubs.end-page |
135 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
408867 |
en |
dc.identifier.eissn |
1873-2631 |
en |
pubs.record-created-at-source-date |
2013-11-14 |
en |