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Study on drag reduction mechanism with emphasis on non-affinity in polymer chain coil-stretch transition

Research Project

Project/Area Number 23560188
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fluid engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

HORIUTI Kiyosi  東京工業大学, 理工学研究科, 准教授 (10173626)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords抵抗低減 / 高分子添加溶液 / 界面活性剤 / 粘弾性流体 / Brownian dynamics / Elastic dumbbell model / 反変・共変ベクトル / エネルギーカスケード / 高分子添加 / ブラウ二アン力学 / Elastic dumbbellモデル
Research Abstract

We carried out numerical study to reveal the mechanism of drag reduction (DR) in polymer-diluted flows. The polymer chains are modeled as elastic dumbbells. We elucidated the effect of non-affinity in the motion of dumbbells on DR, where their motions do not precisely correspond to macroscopically-imposed deformation. The DNS for the solvent is coupled to the mesoscopic description of dumbbells using BDS in forced homogeneous isotropic turbulence. Compared with the complete affine case (a=0.0), more drastic DR is achieved when non-affinity is maximum (a=1.0). When a=0.0, the dumbbell connector vector is convected as contravariant vector representing material line element and elasticity is caused on the tubular structures. When a=1.0, the connector is convected as covariant vector representing material surface element, and directs outward perpendicularly on the planar structures and exert an extra tension on vortex sheet, which leads to attenuation of energy cascade, causing larger DR.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (23 results)

All 2013 2012 2011

All Journal Article (6 results) (of which Peer Reviewed: 5 results) Presentation (14 results) (of which Invited: 1 results) Book (3 results)

  • [Journal Article] Remarkable Drag Reduction in Non-affine Viscoelastic Turbulent Flows.2013

    • Author(s)
      K. Horiuti, K. Matsumoto, and K. Fujiwara
    • Journal Title

      Phys. Fluids

      Volume: 25 Issue: 1 Pages: 15106-15106

    • DOI

      10.1063/1.4774239

    • Related Report
      2013 Annual Research Report 2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multi-mode Stretched Spiral Vortex and Nonequilibrium Energy Spectrum in Homogeneous Shear Flow Turbulence2011

    • Author(s)
      K. Horiuti and T. Ozawa
    • Journal Title

      Phys. Fluids

      Volume: 23 Issue: 3 Pages: 35107-35107

    • DOI

      10.1063/1.3567252

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Marked Drag Reduction in Non-affine Viscoelastic Turbulence in Homogeneous Isotropic and Pipe Flows2011

    • Author(s)
      K. Horiuti, K. Matsumoto and M. Adachi
    • Journal Title

      J. Phys.: Conf. Ser.

      Volume: 318 Issue: 9 Pages: 92016-92016

    • DOI

      10.1088/1742-6596/318/9/092016

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multi-mode stretched spiral vortex and nonequilibrium energy spectrum in homogeneous shear flow turbulence2011

    • Author(s)
      K. Horiuti and T. Ozawa
    • Journal Title

      Physics of Fluids

      Volume: 23 Pages: 35107-35107

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Marked drag reduction in non-affine viscoelastic turbulence in homogeneous isotropic and pipe flows2011

    • Author(s)
      K. Horiuti, K. Matsumoto and M. Adachi
    • Journal Title

      J. Phys.: Conf. Ser.

      Volume: 318 Pages: 9216-9216

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extraction of nonequilibrium -7/3 energy spectrum in experimental measurement turbulence data2011

    • Author(s)
      K. Horiuti and Y. Masuda
    • Journal Title

      Bulletin of the American Physical Society

      Volume: 318 Pages: 270-271

    • Related Report
      2011 Research-status Report
  • [Presentation] Reconnection過程における非アファイン粘弾性効果2013

    • Author(s)
      竹生昇平,堀内潔
    • Organizer
      第27回数値流体力学シンポジウム講演論文集,日本流体力学会
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Contravariant and covariant dumbbells in polymer-diluted viscoelastic turbulence2013

    • Author(s)
      K. Horiuti and S. Takeu
    • Organizer
      66th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      Pittsburgh, U.S.A., Bulletin of the American Physical Society (58 No.18, p. 334)
    • Related Report
      2013 Final Research Report
  • [Presentation] Contravariant and covariant polymer dumbbells in non-affine viscoelastic turbulence2013

    • Author(s)
      K. Horiuti and S. Takeu
    • Organizer
      14^<th> European turbulence conference
    • URL

      http://etc14.ens-lyon.fr/etc-14-program/TD.4NNF2

    • Place of Presentation
      ENS Lyon
    • Related Report
      2013 Final Research Report
  • [Presentation] Contravariant and covariant polymer dumbbells in non-affine viscoelastic turbulence2013

    • Author(s)
      K. Horiuti and S. Takeu
    • Organizer
      14th European turbulence Conference
    • Place of Presentation
      ENS Lyon, France
    • Related Report
      2013 Annual Research Report
  • [Presentation] Contravariant and covariant dumbbells in polymer-diluted viscoelastic turbulence2013

    • Author(s)
      K. Horiuti and S. Takeu
    • Organizer
      66th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      Pittsburgh, USA
    • Related Report
      2013 Annual Research Report
  • [Presentation] BDS-DNS法による高分子添加溶液における抵抗低減機構の解明2013

    • Author(s)
      竹生昇平、堀内潔、増田舟
    • Organizer
      第27回数値流体力学シンポジウム
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 反変および共変高分子の伸長と抵抗低減のマルチスケール解析2013

    • Author(s)
      堀内潔、竹生昇平
    • Organizer
      第26回計算力学講演会
    • Place of Presentation
      佐賀大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 流体乱流における反変・共変ベクトルと散逸構造2012

    • Author(s)
      堀内潔
    • Organizer
      平成23年度文部科学省数学・数理科学と諸数学・産業との連携研究ワークショップ,乱流と流体方程式の解の特異性
    • Place of Presentation
      名古屋大学理学南館
    • Year and Date
      2012-01-27
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Reconnection過程における非アファイン粘弾性効果2012

    • Author(s)
      竹生昇平,堀内潔
    • Organizer
      日本流体力学会年会2012
    • Place of Presentation
      高知大学,日本流体力学会
    • Related Report
      2013 Final Research Report
  • [Presentation] Reconnection 過程における非アファイン粘弾性効果2012

    • Author(s)
      竹生昇平, 堀内潔
    • Organizer
      日本流体力学会年会 2012
    • Place of Presentation
      高知市、高知大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Multi-mode stretched spiral vortex and non-equilibrium energy spectrum in homogeneous isotropic and shear flow turbulence2011

    • Author(s)
      K. Horiuti
    • Organizer
      International colloquium on Fundamental Problems of Turbulence
    • Place of Presentation
      Centre International de Rencontres Mathematiques, University of Marseille, France
    • Related Report
      2013 Final Research Report
  • [Presentation] Multi-mode stretched spiral vortex and non-equilibrium energy spectrum in homogeneous isotropic and shear flow turbulence2011

    • Author(s)
      K. Horiuti
    • Organizer
      International colloquium on Fundamental Problems of Turbulence(招待講演)
    • Place of Presentation
      CIRM, University of Marseille, France
    • Related Report
      2011 Research-status Report
  • [Presentation] Extraction of nonequilibrium -7/3 energy spectrum in experimental measurement turbulence data2011

    • Author(s)
      K. Horiuti and Y. Masuda
    • Organizer
      64th Annual Meeting of the American Physical Society's Division of Fluid Dynamics
    • Place of Presentation
      Baltimore Convention Center, Baltimore, Maryland, USA
    • Related Report
      2011 Research-status Report
  • [Presentation] Dumbbellモデルを用いたBDS-DNSによる乱流抵抗低減機構の解明2011

    • Author(s)
      松本 一真, 堀内 潔
    • Organizer
      第25回数値流体力学シンポジウム
    • Place of Presentation
      大阪市 大阪大学
    • Related Report
      2011 Research-status Report
  • [Book] Ten Chapters in Turbulence, Chapter 22013

    • Author(s)
      J. Schumacher, R. M. Kerr and K. Horiuti
    • Total Pages
      437
    • Publisher
      Cambridge University Press
    • Related Report
      2013 Annual Research Report
  • [Book] Structure and Dynamics of Vorticity in Turbulence, Chapter 2 in"Ten Chapters in Turbulence", Ed. by P. A. Davidson, Y. Kaneda and K. R. Sreenivasan2012

    • Author(s)
      J. Schumacher, R. M. Kerr and K. Horiuti
    • Publisher
      Cambridge University Press
    • Related Report
      2013 Final Research Report
  • [Book] Ten Chapters in Turbulence, Structure and Dynamics of Vorticity in Turbulence2012

    • Author(s)
      J. Schumacher, R. M. Kerr and K. Horiuti,
    • Total Pages
      44
    • Publisher
      Cambridge University Press
    • Related Report
      2012 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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