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dc.contributor.authorSmith, WR-
dc.contributor.authorWissink, JG-
dc.date.accessioned2015-01-21T12:55:57Z-
dc.date.available2014-02-
dc.date.available2015-01-21T12:55:57Z-
dc.date.issued2014-
dc.identifier.citationIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2014, 79 (1), pp. 22 - 32en_US
dc.identifier.issn0272-4960-
dc.identifier.issn1464-3634-
dc.identifier.urihttp://imamat.oxfordjournals.org/content/79/1/22-
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/9882-
dc.description© The authors 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This is a pre-copyedited, author-produced PDF of an article accepted for publication in [IMA Journal of Applied Mathematics ] following peer review. The version of record [ IMA Journal of Applied Mathematics (2014) 79(1): 22-32.] is available online at: http://imamat.oxfordjournals.org/content/79/1/22en_US
dc.description.abstractThe first finite-dimensional parameterization of a subset of the phase space of the Navier-Stokes equations is presented. Travelling waves in two-dimensional plane Poiseuille flow are numerically shown to approximate maximum-entropy configurations. In a coordinate system moving with the phase velocity, the enclosed body of the flow exhibits a hyperbolic sinusoidal relationship between the vorticity and stream function. The phase velocity and two-amplitude parameters describe the stable manifold on the slow viscous time scale. This original parameterization provides a valuable visualization of this subset of the phase space of the Navier-Stokes equations. These new results provide physical insight into an important intermediate stage in the instability process of plane Poiseuille flow.en_US
dc.format.extent22 - 32-
dc.format.extent22 - 32-
dc.languageeng-
dc.language.isoenen_US
dc.publisherOxford University Pressen_US
dc.subjectMaximum-entropy configurationsen_US
dc.subjectParameterizationen_US
dc.subjectPlane Poiseuille flowen_US
dc.titleParameterization of travelling waves in plane Poiseuille flowen_US
dc.typeArticleen_US
dc.identifier.doihttp://dx.doi.org/10.1093/imamat/hxs037-
dc.relation.isPartOfIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)-
dc.relation.isPartOfIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)-
pubs.issue1-
pubs.issue1-
pubs.volume79-
pubs.volume79-
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Appears in Collections:Dept of Mechanical Aerospace and Civil Engineering Research Papers

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