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2005 Fiscal Year Final Research Report Summary

A Study on the Mechanism of Reduction of Turbulence Generation in Viscoelastic Fluid

Research Project

Project/Area Number 16560136
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

HORIUI Kiyosi  Tokyo Institute of Technology, Graduate School of Science and Engineering, Associate Professor, 大学院・理工学研究科, 助教授 (10173626)

Project Period (FY) 2004 – 2005
KeywordsTurbulent drag reduction / Polymer-diluted fluid / Constitutive stress equation / Direct numerical simulation / Johnson-Segalman equation / Affinity of polymer strand / Homogeneous isotropic tuebulence / Pipe flow
Research Abstract

We studied the effect of non-affinity in the viscoelastic fluid on the process of the vortical structure formation and reduction of turbulence generation. We dealt with the homogeneous isotropic turbulence and the turbulence in the pipe flow, and utilized the numerical data which were generated using the direct numerical simulation method. The non-affine effect on the polymer stress was approximated using the Johnson-Segalman constitutive equation (Johnson and Segalman 1977, JS model). In both isotropic and pipe flows, the degree of reduction of the turbulence generation was not monotonic on the strength of the non-affinity. The largest reduction of turbulence generation was achieved when the non-affine effect was largest, i.e., the Oldroyd-A equation, and the smallest reduction when the non-affine effect was smallest, i.e., the Oldroyd-B equation. Mechanism of this reduction was examined by looking into the formation of the vortical structures. It was shown that the concentration of the polymer stress was largest in the tube core region in the Oldroyd-B equation and the growth of the vortex tube core region was attenuated, whereas the concentration was largest in the vortex sheet region in the Oldroyd-A equation, thus the transformation of the vortex sheet into the vortex tube was annihilated. A theoretical analysis on the JS model was carried out using the algebraic approximate steady solution of the model. It was shown that the 2^<nd>-order solution does not yield a non-monotonic growth of the turbulence generation reduction. This drawback was mitigated in the solutions with 3^<rd> or higher orders.

  • Research Products

    (12 results)

All 2006 2005 2004

All Journal Article (12 results)

  • [Journal Article] Multi modes for the vortex sheet-tube transformation process and viscoelastic effect2006

    • Author(s)
      Horiuti, K., Takagi, Y., Abe, S.
    • Journal Title

      IUTAM Symposium on Elementary Vortices and Coherent Structures (Ed. by S. Kida) (Springer)

      Pages: 13-18

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Multi modes for the vortex sheet-tube transformation process and viscoelastic effect2006

    • Author(s)
      Horiuti, K., Takagi, Y., Abe, S.
    • Journal Title

      IUTAM Symposium on Elementary Vortices and Coherent Structures (Ed. by Kida, S.) (Springer)

      Pages: 13-18

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] An identification method for vortex sheet structures in turbulent flows2005

    • Author(s)
      Horiuti, K., Takagi, Y.
    • Journal Title

      Phys. of Fluids 17

      Pages: 121703-1-4

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 一様等方乱流における乱流構造形成過程とレイノルズ数依存性2005

    • Author(s)
      高木洋平, 堀内潔
    • Journal Title

      日本機械学会論文集 B編 71

      Pages: 17-24

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Effect of non-affine viscoelesticity on turbulence generation2005

    • Author(s)
      Horiuti, K., Abe, S., Takagi, Y.
    • Journal Title

      Engineering Turbulence Modelling and Experiments 6

      Pages: 585-593

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A formation process of turbulent structures and its Reynolds-number dependence in homogeneous isotropic turbulence2005

    • Author(s)
      Takagi, Y., Horiuti, K.
    • Journal Title

      Proc. 3rd International Conference on Vortex Flows and Vortex Models, Fujiplans Cor.

      Pages: 155-160

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] An identification method for vortex sheet structures in turbulent flows2005

    • Author(s)
      Horiuti, K., Takagi Y.
    • Journal Title

      Phys.of Fluids <17>,[12]

      Pages: 121703-1-121703-4

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Effect of non-affine viscoelasticity on turbulence generation2005

    • Author(s)
      Horiuti, K., Abe, S., Takagi, Y
    • Journal Title

      Engineering Turbulence Modelling and Experiments <6>

      Pages: 585-593

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A formation process of turbulent structures and its Reynolds-number dependence in homogeneous isotropic turbulence (in Japanese).2005

    • Author(s)
      Takagi, Y., Horiuti, K.
    • Journal Title

      Trans.Japan.Soc.Mech.Eng.Ser.B [71]<11>

      Pages: 17-24

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A formation process of turbulent structures and its Reynolds-number dependence in homogeneous isotropic turbulence2005

    • Author(s)
      Takagi, Y., Horiuti, K.
    • Journal Title

      Proc.3rd International Conference on Vortex Flows and Vortex Models, Fujiplans Cor.

      Pages: 155-160

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A Process for formation of the Vortex-Tube Cluster Structures along the Vortex Sheets2004

    • Author(s)
      Horiuti, K., Takagi, Y., Itami, T.
    • Journal Title

      Advances in Turbulence X (Ed. by Andersson, H. I. et al.)

      Pages: 35-38

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A Process for formation of the Vortex-Tube Cluster Structures along the Vortex Sheets2004

    • Author(s)
      Horiuti, K., Takagi, Y., Itami, T.
    • Journal Title

      Advances in Turbulence X (Ed. by Andersson, H.I. et al.)

      Pages: 35-38

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2007-12-13  

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