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Improrement of the efficiency of the mixing of fluids in three-dimensional flows by the use of chaos

Research Project

Project/Area Number 13650064
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

FUNAKOSHI Mitsuaki  KYOTO UNIVERSITY Graduate school of informatics, Professor, 情報学研究科, 教授 (40108767)

Co-Investigator(Kenkyū-buntansha) KANEKO Yutaka  KYOTO UNIVERSITY Graduate school of informatics, Research Associate, 情報学研究科, 助手 (00169583)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2003: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsMixing / Chaos / Three-dimensional flow
Research Abstract

As an example of the static mixers that are typical mixing devices, a model of partitioned-pipe mixer (PPM) was considered which is composed of axially periodic pairs of plane plates of a definite angle within an infinitely long rotating cylinder. The following results were obtained by the examination of the chaotic motion of fluid elements and the efficiency of the mixing due to an approximate velocity field that is composed of the velocity field for an infinitely long plane plate and a transient velocity field: (1) The efficiency of the mixing can be improved by the generalization of the PPM model in which the ratio a of the lengths of a pair of plane plates can be changed from one, and the angle between these plates can be changed from 90 degree. (2) Poincare sections are not sufficient as the index of the efficiency of the mixing in a few. axial periods. Lines of separation U(n), the set of cross-sectional initial locations of fluid particles that move to one of the leading edges o … More f the plates within n periods, can be used as the index of the mixing in n periods. That is, if the region where U(n) is distributed densely is large, the efficient mixing is expected.
Next, from the numerical computation of the exact velocity field in PPM, it was found that this velocity field has the reverse-flow region for a small axial pressure gradient and is considerably different from the approximate velocity field. From the Poincare sections based on the exact velocity field, the following results were obtained: (1) The regular region can be reduced by changing a to appropriate values, similarly to the result for the approximate velocity field. (2) U(n) can be introduced even for the exact velocity field. Efficient mixing is expected if the region where U(n) is distributed densely is large.
From the computation of the largest stretching rate of fluid line elements in the cross-sectional direction in their axial motion by a definite period, it was found that the line elements starting near the lines of separation are strongly stretched and that this strong stretching mainly contributes to the efficient mixing in PPM. Less

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] Mitsuaki Funakoshi: "Lagrangian chaos and mixing of fluids"Japan Journal of Industrial and Applied Mathematics. 18・2. 613-626 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshinori Mizuno: "Chaotic Mixing Due to a Spatially Periodic Three-Dimensional Flow"Fluid Dynamics Research. 31・2. 129-149 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 水野吉規: "空間周期的な3次元流における流体の混合過程"日本流体力学会誌. 22・別冊. 250-251 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshinori Mizuno: "Chaotic mixing caused by an axially periodic steady flow in a partitioned-pipe mixer"Fluid Dynamics Research. (印刷中). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mitsuaki FUNAKOSHI: "Lagrangian chaos and mixing of fluids"Japan Journal of Industrial and Applied Mathematics. 18-2. 613-626 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshinori MIZUNO, Mitsuaki FUNAKOSHI: "Chaotic mixing due to a spatially periodic three-dimensional flow"Fluid Dynamics Research. 31-2. 129-149 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshinori MIZUNO, Mitsuaki FUNAKOSHI: "Chaotic mixing caused by an axially periodic steady flow in a partitioned-pipe mixer"Fluid Dynamics Research. (in printing).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 水野吉規: "空間周期的な3次元流における流体の混合過程"日本流体力学会誌. 22・別冊. 250-251 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yoshinori Mizuno: "Chaotic Mixing Due to a Spatially Periodic Three-Dimensional Flow"Fluid Dynamics Research. 31・2. 129-149 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Mitsuaki Funakoshi: "Lagrangian chaos and mixing of fluids"Japan Journal of Industrial and Applied Mathematics. 18・2. 613-626 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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