Development of turbulence analysis method with incorporation of covariant elements

• Project/Area Number: 26420103
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Fluid engineering
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: Horiuti Kiyosi 東京工業大学, 工学院, 准教授 (10173626)
• Research Collaborator: Schumacher J. Technishe Universität Ilmenau, Department of Mechanical Engineering, Professor
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 反変性、共変性 / 高分子添加溶液 / ＭＨＤ / スカラー伝達 / 多重スケール解析 / 反変性・共変性ベクトル / 粘弾性流体 / 圧縮性流体 / 伝熱場 / 機能性・非機能性要素 / 反変・共変性要素 / 乱流 / 抵抗低減 / スカラー散逸 / Elasto-inertial 乱流 / Pressure dilatation / MHD乱流 / convective derivative / 電流シート

Outline of Final Research Achievements

We conduct multi-scale study on energy transfer due to polymers dispersed in homogeneous isotropic turbulence in elasto-inertial regime (EIT). Effect of non-affinity with macroscopically-imposed deformation in the motion of polymers is examined by connecting mesoscopic Brownian dynamics of dumbbells to DNS for solvent. The dumbbells are allowed to be advected either affinely (contravariant) or completely non-affinely (covariant). The relaxation time of polymer is in the order of eddy turnover time. Contravariant polymers drain more energy from the large scales than they can dissipate and transfer the excess energy back into the solvent when they are highly-stretched. The skewness of strain-rate tensor in the production term for elastic energy and dissipation rate transfer elastic energy back into the smallest scale of the solvent and increase the dissipation. In the covariant polymers, this backward transfer is eliminated and elastic energy is retained when highly stretched

Research Products

• [Int'l Joint Research] Technishe University of Ilmenau(Germany)
• [Journal Article] 'Nonequilibrium state in energy spectra and transfer with implications for topological transition and SGS modelling (2016)
  • Author(s): K. Horiuti, S. Yanagihara and T. Tamaki
  • Journal Title: Fluid Dynamics Research Volume: 48 Issue: 2 Pages: 021409-021409
  • DOI: 10.1088/0169-5983/48/2/021409
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Multi-scale study on process of contravariant and covariant polymer elongation and drag reduction in viscoelastic turbulence (2016)
  • Author(s): K. Horiuti、Aoi Suzuki
  • Journal Title: Bulletin of the American Physical Society Volume: 61 Pages: 426-426
• [Journal Article] 非アファイン性を考慮した高分子添加溶液におけるエネルギー伝達と抵抗低減 －働く高分子と働かない高分子－ (2016)
  • Author(s): 堀内 潔
  • Journal Title: 日本機械学会、流体工学部門ニューズレター『流れ』 Volume: 11 Pages: 5-6
  • Open Access / Acknowledgement Compliant
• [Journal Article] Elasto-inertial turbulence における反変・共変高分子の伸長とエネルギー伝達に関する研究 (2016)
  • Author(s): 鈴木 舟、堀内 潔、鈴木 葵
  • Journal Title: 日本流体力学会誌「ながれ」〔特集〕注目研究in第29回数値流体力学シンポジウム Volume: 35 Pages: 133-137
  • Open Access
• [Journal Article] Multi-scale study on process of contravariant and covariant polymer elongation and drag reduction in viscoelastic turbulence (2014)
  • Author(s): Kiyosi Horiuti, Shu Suzuki
  • Journal Title: Bulletin of the American Physical Society Volume: 59 Pages: 185-185
• [Presentation] Multi-scale study on process of contravariant and covariant polymer elongation and drag reduction in viscoelastic turbulence (2016)
  • Author(s): K. Horiuti
  • Organizer: 69th Annual Meeting of the APS Division of Fluid Dynamics
  • Place of Presentation: Portland, Oregon, U.S.A.
  • Year and Date: 2016-11-20
  • Int'l Joint Research
• [Presentation] 非アファイン性を考慮した高分子添加溶液におけるエネルギー伝達と抵抗低減 －働く高分子と働かない高分子－ (2016)
  • Author(s): 堀内 潔
  • Organizer: 日本機械学会2016年度年次大会 企画ワークショップ「複雑流体の新展開」
  • Place of Presentation: 九州大学
  • Year and Date: 2016-09-11
  • Invited
• [Presentation] Contravariant and covariant polymers in elasto-inertial viscoelastic turbulence (2016)
  • Author(s): K. Horiuti
  • Organizer: 24th International Congress of Theoretical and Applied Mechanics
  • Place of Presentation: Montreal, Canada
  • Year and Date: 2016-08-21
  • Int'l Joint Research
• [Presentation] The Super Typhoon - its structure and formation process (2016)
  • Author(s): K. Horiuti
  • Organizer: International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies
  • Place of Presentation: Kansai Seminar House, Kyoto
  • Year and Date: 2016-06-28
• [Presentation] Elasto-inertial turbulenceにおける反変・共変高分子の伸長とエネルギー伝達 (2015)
  • Author(s): 鈴木 舟, 堀内 潔, 鈴木 葵
  • Organizer: 第29回数値流体力学シンポジウム
  • Place of Presentation: 九州大学
  • Year and Date: 2015-12-15
• [Presentation] 反変・共変性要素の添加による圧縮性乱流における抵抗低減の解析 (2015)
  • Author(s): 島田 俊之, 堀内 潔, 久郷 結熙
  • Organizer: 第29回数値流体力学シンポジウム
  • Place of Presentation: 九州大学
  • Year and Date: 2015-12-15
• [Presentation] Energy cascade and drag reduction in elasto-inertial turbulence diluted with contravariant and covariant polymers (2015)
  • Author(s): K. Horiuti
  • Organizer: EUROMECH-ERCOFTAC Workshop, Turbulence Cascades
  • Place of Presentation: Lille, France
  • Year and Date: 2015-12-02
  • Int'l Joint Research / Invited
• [Presentation] Multi-scale study on process of contravariant and covariant polymer elongation and drag reduction in viscoelastic turbulence (2014)
  • Author(s): Kiyosi Horiuti, Shu Suzuki
  • Organizer: 67th Annual Meeting of the APS Division of Fluid Dynamics
  • Place of Presentation: Moscone Convention Center, San Francisco
  • Year and Date: 2014-11-23 – 2014-11-25
• [Presentation] BDS-DNS法による反変・共変型高分子の伸長素過程の研究 (2014)
  • Author(s): 鈴木 舟、堀内 潔、久郷 結熙
  • Organizer: 日本流体力学会年会2014
  • Place of Presentation: 東北大学 川内北キャンパス 講義棟
  • Year and Date: 2014-09-15 – 2014-09-17
• [Presentation] BDS-DNS法による高分子添加一様せん断乱流における抵抗低減機構の解明 (2014)
  • Author(s): 藤原 健利、堀内 潔、島田 俊之
  • Organizer: 日本流体力学会年会2014
  • Place of Presentation: 東北大学 川内北キャンパス 講義棟
  • Year and Date: 2014-09-15 – 2014-09-17
• [Presentation] Nonequilibrium state in energy spectra and transfer with implications for topological transition and SGS modelling (2014)
  • Author(s): Kiyosi Horiuti
  • Organizer: JSPS Supported Meeting on Interscale Transfers and Flow Topology in Equilibrium and Nonequilibrium Turbulence
  • Place of Presentation: Sir Frederick Mappin Building, University of Sheffield
  • Year and Date: 2014-09-15 – 2014-09-16
  • Invited