Elucidation and control of high-Reynolds-number turbulence using invariant solutions

2017 Fiscal Year Final Research Report

• Project/Area Number: 25249014
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Osaka University
• Principal Investigator: Kawahara Genta 大阪大学, 基礎工学研究科, 理事 (50214672)
• Co-Investigator(Kenkyū-buntansha): 後藤 晋 大阪大学, 基礎工学研究科, 教授 (40321616) ; 清水 雅樹 大阪大学, 基礎工学研究科, 助教 (20550304) ; 佐々木 英一 同志社大学, 理工学部, 助教 (60710811)
• Project Period (FY): 2013-04-01 – 2018-03-31
• Keywords: 乱流

Outline of Final Research Achievements

Periodic solutions to the LES equation have been computed in flow between two parallel plates to succeed in increasing the Reynolds number up to about 2000. The periodic solutions reproduce mean and rms velocities profiles for a turbulent state, suggesting a possibility that the periodic solutions could represent the logarithmic mean velocity profile at higher Reynolds number. Periodic solutions to the Navier-Stokes equation have been computed in triply periodic flow with the Kida high-symmetry to achieve the Taylor-length Reynolds number up to 88. The energy dissipation rate of the periodic solutions approaches a constant value with increasing the Reynolds number, implying the Kolmogorov similarity law.

Free Research Field

熱流体工学