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Natural Convection of a Magnetic Fluid under the Magnetic Field

Research Project

Project/Area Number 01550157
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionKEIO University

Principal Investigator

TANAHASHI Takahiko  Keio Univ., Mechanical Engineering, Pro., 理工学部, 教授 (70051638)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1990: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1989: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsMagnetic fluid / Natural Convection / Magnetic Field Control / Heat Transfer Enhancement / Numerical Analysis / Finite Element Method / Constitutive Equation / Sloshing / 非ニュ-トン流体 / 極性流体 / 熱対流 / マイクロ・ポ-ラ流体
Research Abstract

Natural convection of a magnetic fluid was studied experimentally and numerically for three models which was a cubic cavity, a cubic cavity which had a horizontal cylinder and the coaxial cylinders. Magnetic fields were applied in various directions by permanent magnets. The thermosensitive liquid crystal sheet was utilized in order to visualize wall-temperature distributions. Several kinds of experiment were carried out in order to clarify the influence of direction and strength of magnetic fields on the natural convection. Numerical Simulations by finite element method were used to show velocity and temperature fields in the magnetic fluid. Boussininesq approximation was used and the induced magnetic field caused by a motion of magnetic particle was ignored in the calculation. Temperature distributions and velocity field in magnetic fluid were observed in detail by the calculation results. As these results it became known that the natural convection of a magnetic fluid was controlled … More by the intensity and direction of the magnetic fields.
To investigate the thermal properties of magnetic fluids, we introduced a new way of determining constitutive equations of magnetic fluids. That is the method which is a combination of the theory of integrity bases and the principle of maximal dissipation rate based on the thermodynamical discussions. The basic equations, which derived by this method, satisfy the principle of material frame indifference. Furthermore, they express viscoelastic effect internal freedom, conducting effect, and nonlinear effect simultaneously Using this method, the basic equations of both nonconducting and conducting nonpolar magnetic fluids were given.
Some dynamic behavior of a magnetic fluid in a container were experimentally examined. Experiments were carried out for rectangular, cylindrical and spherical containers respectively. These containers were laterally oscillated. The vertical non-uniform magnetic field was applied by permanent magnets which were fitted underneath the container. It was found that harmonic wave motion, swirling waves and flow pattern of surface waves were influenced by the magnetic fields. The resonant frequency of the fluid-container system moved toward high frequency region with the magnetic field intensity. This behavior was also studied by the linear approximate theory. Theoretical results were qualitatively in good agreement with experimental results. Less

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 佐藤 敏浩・斉藤 敦・棚橋 隆彦: "GSMAC有限窒素法による磁場下の電磁流体の自然対流の解析" 日本機械学会論文集(B編). 56. 1571-1578 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Kikura,T.Sawada,T.Tanahashi and L.S.Sco: "Propagation of surfaec Wavcs of Magnctic FCuuds in Fraveling Magnctie Ficlds" J.of Magnetiom and Magnetic Matcrials. 85. 167-170 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Kikura,A.Saito,T.Sawada and T.Tamahashi: "Natual Convection of Magnetie Fluid under Magnetic Fields" Pro ceedings of the Second KSMEーJSME Fluid Engineering Conference,Seoll Korea. 2. 128-133 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Tanahashi,H.Okanaga and T.Saito: "GSMAC Finite Element Method for tlnscady Incomyhessible Nauier stokes Equations at High Reynolds Numbers" International Journal for Namerical Methods in Fluids. 11. 479-499 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 棚橋 隆彦・木倉 宏成・手熈 元: "磁性流体のフラスタ-現象に対する統計理論" 日本機械学会論文集(B編). 56. 3232-3239 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Okanaga and T.Tanahashi: "Numerical Analysis of Three Dimensional Natural Convection Flow using GSMACーFEM" Numerical Methods in Fluid Dynamics II. II. 1049-1054 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 棚橋 隆彦: "連続体の力学(4)" 理工図書, 350 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Sato, A. Saito and T. Tanahashi: ""Numerical Analysis of Natural Convection of an Electrically Conducting Fluid under Magnetic Field Using the GSMAC Finite-Element Method"" Trans. Jap. Soc. Mech. Eng.Vol. 56, No. 526, B. 1571-1578 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Kikura, T. Sawada, T. Tanahashi and L. S. Seo: ""Propagation of surface Waves of Magnetic Fluids in Traveling Magnetic Field"" J. Magn. Magn. Mat.Vol. 85, Nos. 1-3. 167-170 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Kikura, A. Saito, T. Sawada and T. Tanahashi: ""Natural Convection of a Magnetic Fluid under Magnetic Fields"" Proc. 2nd KSME-JSME Fluid Eng. Conf.Vol. 2. 128-133 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Tanahashi, H. Okanaga and T. Saito: ""GSMAC Finite Element Method for Unsteady Incompressible NavierーStokes Equations at High Reynolds Numbers"" Int. J. Nam. Meth. Flu.Vol. 11. 479-499 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Tanahashi, H. Kikura and H. Yoon: ""Statistical Theory for Cluster Phenomena of Magnetic Fluids"" Trans. Jap. Soc4. Mech. Eng.Vol. 56, No. 531, B. 3232-3239 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Okanaga and T. Tanahashi: ""Numerical analysis of Three Dimensional Natural Convection Flow Using GSMAC-FEM"" Nume. Meth. Flu. Dyna.Vol. II. 1049-1054 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 佐藤 敏浩・斉藤 敦・棚橋 隆彦: "GSMAC有限要素法による磁場下の電磁流体の自然対流の解析" 日本機械学会論文集(B編). 56. 1571-1578 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Kikura,T.Sawada,T.Tanahashi and L.S.Seo: "Propagation of Surfacc Waves of Magnetic Fluids in Traveling Magnetic Fields" J.of Magnetism and Magnetic Materials. 85. 167-170 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Kikura,A.Saito,T.Sawada and T.Tanahashi: "Natural Convection of Magnetic Fluid under Magnetic Fields" Proceedings of the Second KSMEーJSME Fluid Engineering Conference,Seoul Korea. 2. 128-133 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Tanahashi,H.Okanaga and T.Saito: "GSMAC Finite Element Method for Unsteady In compressible Nauier・Stokes Equations at High Reynolds Numbers" International Journal for Numerical Methods in Fluids. 11. 479-499 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 棚橋 隆彦・木倉 宏成・尹 煕元: "磁性流体のクラスタ-現象に対する統計理論" 日本機械学会論文集(B編). 56. 3232-3239 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Okanaga and T.Tanahashi: "Numerical Analysis of Three Dimensional Natural Convection Flow using GSMACーFEM" Numerical Methods in Fluid Dynamics. II. 1049-1054 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 棚橋 隆彦: "連続体の力学(4)" 理工図書, 350 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] 棚橋隆彦: "マイクロ・ポ-ラ流体と電磁場の相互作用" 日本機械学会論文集(B編). 55-511. 749-757 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Okanaga: "Analysis of Natural Convection in a Square Cauity using GSMAC Finite Element Method" Computers and Experiments(Springer-Verlay). 409-418 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Sato: "A Numerical Analysis of Three-Dimentional Transient Natural Convection of an Electrically Conducting Fluid" Computers and Experiments(Springer-Verlay). 201-214 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Y.Katoh: "Numerical Simulation of Transient Flow in Cubic Vessels Using Three Dimensional GSMAC-FEM" A Collection of Technical Papers ISCFD. 814-819 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 井門康司: "基本不変量理論と最大散逸速度の原理による磁性流体の構成方程式の誘導" 日本機械学会論文集(B編). 55-517. 2602-2609 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 木倉宏成: "磁性流体の液体スロッシングに関する実験的研究" 粉体および粉末冶金. 36-6. 803-806 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 棚橋隆彦: "連続体の力学(4)" 理工図書, 350 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 矢川元基: "計算力学[I]" 養賢堂, 328 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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