dc.contributor.author |
Wang, Shixiao |
en |
dc.contributor.author |
Taylor, Stephen |
en |
dc.contributor.author |
Akil, KK |
en |
dc.date.accessioned |
2012-03-29T22:56:53Z |
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dc.date.issued |
2010-03 |
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dc.identifier.citation |
Journal of Fluids Engineering, Transactions of the ASME 132(3):0312011-03120113 2010 |
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dc.identifier.issn |
0098-2202 |
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dc.identifier.uri |
http://hdl.handle.net/2292/16140 |
en |
dc.description.abstract |
This article extends the perturbation method introduced by Wang (2008, "A Novel Method for Analyzing the Global Stability of Inviscid Columnar Swirling Flow in a Finite Pipe," Phys. Fluids, 20(7), p. 074101) to determine the global stability of a swirling flow in a straight circular pipe with specified inlet and outlet boundary conditions. To accurately compute the flow stability characteristics, a general procedure to treat the complexity arising from high-order terms is developed. It extends the previous fourth-order method to an eighth-order method. The technique is first applied to the benchmark case of a solid-body rotation flow with a uniform axial speed. It is demonstrated that the eighth-order method is sufficient to construct the growth rate curve between the first and second critical swirls of this flow. Note that this range of swirl is crucial for the study of the vortex breakdown phenomenon since the base flow is unstable and starts the initial stage of transition to a breakdown state. The method is then applied to the Lamb-Oseen vortex to construct the growth rate curve between the first and second critical swirls of this flow. Calculated results are compared with the growth rate curve computed from direct numerical simulations and an overall agreement between the two computations is found. This demonstrates that the Wang and Rusak (1996, "On the Stability of an Axi-symmetric Rotating Flow in a Pipe," Phys. Fluids, 8(4), pp. 1007-1076) instability mechanism captures quantitatively the initial growth of disturbance, which eventually evolves into a breakdown state. [DOI: 10.1115/1.4001106] |
en |
dc.language |
EN |
en |
dc.publisher |
ASME-AMER SOC MECHANICAL ENG |
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dc.relation.ispartofseries |
Journal of Fluids Engineering |
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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.sherpa.ac.uk/romeo/issn/0098-2202/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.subject |
SWIRLING FLOWS |
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dc.subject |
BREAKDOWN |
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dc.subject |
MODEL |
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dc.title |
The Linear Stability Analysis of the Lamb-Oseen Vortex in a Finite-Length Pipe |
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dc.type |
Journal Article |
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dc.identifier.doi |
10.1115/1.4001106 |
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pubs.issue |
3 |
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pubs.volume |
132 |
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dc.rights.holder |
Copyright: ASME-AMER SOC MECHANICAL ENG |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
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pubs.subtype |
Article |
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pubs.elements-id |
95915 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Mathematics |
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pubs.number |
031201 |
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pubs.record-created-at-source-date |
2010-09-01 |
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