The role of the hairpin vortex solution on laminar-Turbulent transition of plane couette flow at moderate reynolds number

Tomoaki Itano, Sotos C. Generalis, Takahiro Ninomiya, Masako Sugihara-Seki, Masako Sugihara-Seki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The shooting method is employed to outline a structural aspect of phase space of plane Couette flow, associated with laminar-Turbulent transition at moderate Reynolds numbers (Re ∼ 104). The basin boundary separating the laminar and the turbulent attractors in the phase space is emerged out of trajectories starting from initial conditions constituted by superposition of three distinct exact steady solutions of PCF, including the Hairpin Vortex Solution (Itano & Generalis (2009); Gibson et al. (2009)) and the so-called Nagata's solution (Nagata (1990)). The result implies that HVS is on the basin boundary even at moderate Reynolds numbers, and that one of the unstable manifolds of HVS heads towards the NBW, which lies on the basin boundary.

Original languageEnglish
Title of host publicationInternational Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013
Volume3
ISBN (Electronic)9780000000002
Publication statusPublished - 2013
Event8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013 - Poitiers, France
Duration: 28 Aug 201330 Aug 2013

Conference

Conference8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013
CountryFrance
CityPoitiers
Period28/08/1330/08/13

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Itano, T., Generalis, S. C., Ninomiya, T., Sugihara-Seki, M., & Sugihara-Seki, M. (2013). The role of the hairpin vortex solution on laminar-Turbulent transition of plane couette flow at moderate reynolds number. In International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013 (Vol. 3)