dc.contributor.author |
Jewell, N |
en |
dc.contributor.author |
Denier, James |
en |
dc.date.accessioned |
2012-06-17T21:44:14Z |
en |
dc.date.issued |
2006 |
en |
dc.identifier.citation |
Quarterly Journal of Mechanics and Applied Mathematics 59(4):651-673 2006 |
en |
dc.identifier.issn |
0033-5614 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/18994 |
en |
dc.description.abstract |
This paper considers the decay of Poiseuille flow within a suddenly blocked pipe. For small to moderate times the flow is shown to consist of an inviscid core flow coupled with a boundary layer at the pipe wall. A small-time asymptotic solution is developed and it is shown that this solution is valid for times up to the point at which the boundary layer fills the whole pipe. A small-time composite solution is used to initiate a numerical marching procedure which overcomes the small-time singularity that arises in the flow and so allows us to describe the ultimate decay of the flow within a blocked pipe. The stability of this flow is then considered using both a quasi-steady approximation and a transient-growth analysis based upon marching solutions of the linearized Navier–Stokes equations. Our transient stability analysis predicts a critical Reynolds number, for transition to turbulence, in the range 970 < Re < 1370. |
en |
dc.publisher |
Oxford University Press (OUP) |
en |
dc.relation.ispartofseries |
Quarterly Journal of Mechanics and Applied Mathematics |
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.sherpa.ac.uk/romeo/issn/0033-5614/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
The instability of the flow in a suddenly blocked pipe |
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dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1093/qjmam/hbl021 |
en |
pubs.issue |
4 |
en |
pubs.begin-page |
651 |
en |
pubs.volume |
59 |
en |
dc.rights.holder |
Copyright: Oxford University Press (OUP) |
en |
pubs.end-page |
673 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
341259 |
en |
pubs.record-created-at-source-date |
2012-04-02 |
en |