Abstract
A numerical continuation method is carried out in a homotopy space connecting two different flows, the Plane Couette Flow (PCF) and the Laterally Heated Flow in a vertical slot (LHF). This numerical continuation method enables us to obtain an exact steady solution in PCF. The new solution has the shape of hairpin vortices (HVS: hairpin vortex solution), which is observed ubiquitously in turbulent shear flows.
Original language | English |
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Title of host publication | Advances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany |
Editors | Bruno Eckhardt |
Place of Publication | Berlin (DE) |
Publisher | Springer |
Pages | 649-652 |
Number of pages | 4 |
Volume | 132 |
ISBN (Print) | 9783642030840 |
DOIs | |
Publication status | Published - 2009 |
Event | 12th EUROMECH European Turbulence Conference, ETC12 2009 - Marburg, Germany Duration: 7 Sept 2009 → 10 Sept 2009 |
Publication series
Name | Springer Proceedings in Physics |
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Volume | 132 |
ISSN (Print) | 0930-8989 |
ISSN (Electronic) | 1867-4941 |
Conference
Conference | 12th EUROMECH European Turbulence Conference, ETC12 2009 |
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Country/Territory | Germany |
City | Marburg |
Period | 7/09/09 → 10/09/09 |
Bibliographical note
© 2009, Springer-Verlag Berlin Heidelberg.Funding Information:
Both of us would like to dedicate the result to our families, whose continued support enabled us to research in the field of canonical shear flows. In particular we are grateful to our fathers who over the years installed on us the enthusiasm to pursue vigorously the unknown in order to establish the truth. T.I. is grateful for the financial support received from Aston University under the Visiting Scholars Fund Scheme and EPSRC (GR/S70593/01). S.C.G. is grateful to a Research Invitation from the Kansai University. This work has been also supported in part by KAKENHI (19760123).
Keywords
- Coherent Vortex
- Hairpin Vortex
- Turbulent Shear
- Vortex Line
- Vortex Solution