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

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

College of Engineering and Physical Sciences

Research output: Chapter in Book/Published conference output › Conference publication

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 language	English
Title of host publication	International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013
Volume	3
ISBN (Electronic)	9780000000002
Publication status	Published - 2013
Event	8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013 - Poitiers, France Duration: 28 Aug 2013 → 30 Aug 2013

Conference

Conference	8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013
Country/Territory	France
City	Poitiers
Period	28/08/13 → 30/08/13

Cite this

@inproceedings{bc39203732de48b687a1ab2ffdc0634c,

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

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.",

author = "Tomoaki Itano and Generalis, {Sotos C.} and Takahiro Ninomiya and Masako Sugihara-Seki and Masako Sugihara-Seki",

year = "2013",

language = "English",

volume = "3",

booktitle = "International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013",

note = "8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013 ; Conference date: 28-08-2013 Through 30-08-2013",

}

Itano, T, Generalis, SC, 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, 8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013, Poitiers, France, 28/08/13.

TY - GEN

T1 - The role of the hairpin vortex solution on laminar-Turbulent transition of plane couette flow at moderate reynolds number

AU - Itano, Tomoaki

AU - Generalis, Sotos C.

AU - Ninomiya, Takahiro

AU - Sugihara-Seki, Masako

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85034036289&partnerID=8YFLogxK

M3 - Conference publication

AN - SCOPUS:85034036289

VL - 3

BT - International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013

T2 - 8th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2013

Y2 - 28 August 2013 through 30 August 2013

ER -

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

Abstract

Conference

Other files and links

Fingerprint

Cite this