Theoretical prediction of subcritical transition to turbulence using homoclinic orbits
| Project/Area Number |
26630055
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Fluid engineering
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| Research Institution | Osaka University |
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Principal Investigator |
Kawahara Genta 大阪大学, 基礎工学研究科, 教授 (50214672)
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| Co-Investigator(Kenkyū-buntansha) |
清水 雅樹 大阪大学, 基礎工学研究科, 助教 (20550304)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 乱流 / 亜臨界乱流遷移 |
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| Outline of Final Research Achievements |
In pipe flow the streamwise-localized periodic edge state found by Avila et al. was reproduced by a shooting method. In plane Poiseuille flow the streamwise- and spanwise-localized periodic edge state found by Zammert and Eckhardt was recomputed by a shooting method as well as a Newton-Krylov method. We have succeeded in the theoretical description of a transition route to turbulence through the growth of a turbulent puff or a turbulent spot in terms of the unstable manifold of these spatially localized edge states. We have also discovered a periodic edge state representing a turbulent band in plane Poiseuille flow as well as a steady traveling-wave edge state corresponding to a turbulent puff or a turbulent spot in rectangular-duct flow.
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Report
(4 results)
Research Products
(89 results)
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[Presentation] Optimal heat transfer in plane Couette flow2015
Author(s)
Shingo Motoki, Masaki Shimizu, Genta Kawahara
Organizer
8th International Symposium on Turbulence, Heat and Mass Transfer
Place of Presentation
Officer's Hall, Sarajevo（ボスニア・ヘルツェゴビナ）
Year and Date
2015-09-15
Related Report
Int'l Joint Research
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[Presentation] チャネル流における乱流遷移過程2014
Author(s)
金澤昂弘，清水雅樹，河原源太
Organizer
日本機械学会第92期流体工学部門講演会
Place of Presentation
富山大学（富山県）
Year and Date
2014-10-25 – 2014-10-26
Related Report
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[Presentation] 平面クエット流の局在乱れの発生2014
Author(s)
佐々木英一，清水雅樹，河原源太
Organizer
日本機械学会第92期流体工学部門講演会
Place of Presentation
富山大学（富山県）
Year and Date
2014-10-25 – 2014-10-26
Related Report
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