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http://bura.brunel.ac.uk/handle/2438/9882
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DC Field | Value | Language |
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dc.contributor.author | Smith, WR | - |
dc.contributor.author | Wissink, JG | - |
dc.date.accessioned | 2015-01-21T12:55:57Z | - |
dc.date.available | 2014-02 | - |
dc.date.available | 2015-01-21T12:55:57Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2014, 79 (1), pp. 22 - 32 | en_US |
dc.identifier.issn | 0272-4960 | - |
dc.identifier.issn | 1464-3634 | - |
dc.identifier.uri | http://imamat.oxfordjournals.org/content/79/1/22 | - |
dc.identifier.uri | http://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/79/1/22 | en_US |
dc.description.abstract | The 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.extent | 22 - 32 | - |
dc.format.extent | 22 - 32 | - |
dc.language | eng | - |
dc.language.iso | en | en_US |
dc.publisher | Oxford University Press | en_US |
dc.subject | Maximum-entropy configurations | en_US |
dc.subject | Parameterization | en_US |
dc.subject | Plane Poiseuille flow | en_US |
dc.title | Parameterization of travelling waves in plane Poiseuille flow | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1093/imamat/hxs037 | - |
dc.relation.isPartOf | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) | - |
dc.relation.isPartOf | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) | - |
pubs.issue | 1 | - |
pubs.issue | 1 | - |
pubs.volume | 79 | - |
pubs.volume | 79 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mechanical, Aerospace and Civil Engineering | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mechanical, Aerospace and Civil Engineering/Mechanical and Aerospace Engineering | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Energy Futures | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Energy Futures/Energy Efficient and Sustainable Technologies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
Appears in Collections: | Dept of Mechanical and Aerospace Engineering Research Papers |
Files in This Item:
File | Description | Size | Format | |
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Fulltext.pdf | 276.47 kB | Adobe PDF | View/Open |
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