2009 Fiscal Year Final Research Report
Study on the relation between the multipleness of the solutions of the Navier-Stokes equations and the phenomena in turbulence transition
| Project/Area Number |
18360049
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
NAGATA Masato Kyoto University, 工学研究科, 教授 (80303858)
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| Co-Investigator(Kenkyū-buntansha) |
NISHIOKA Michio 京都大学, 工学研究科, COE研究員 (60081444)
KAWAHARA Genta 大阪大学, 大学院・基礎工学研究科, 教授 (50214672)
ITANO Tomoaki 関西大学, 工学部, 講師 (30335187)
NOGUCHI Takashi 京都大学, 工学研究科, 助教 (10447906)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 数理工学(数理的解析・計画・設計) |
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| Research Abstract |
The multiplicity of the Navier-Stokes equations is exhibited by presenting new solutions or flows, especially for (1) plane Couette flow, (2) rotating plane Poiseuille flow, (3) flow through a duct with square cross-section (4) stratified rotating flow between two concentric cylinders, (5) shear flow with natural convection and (6) shear flow with internal heat source, numerically and experimentally, where the relation between the multiplicity and the behaviour of the fluid flows in the transition to turbulence from laminar states is examined.
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