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Dynamics of Filaments and Cellular Patterns in Fluid ; Its Universality and Mechanisms

Research Project

Project/Area Number 06302024
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 物理学一般
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

S Kai  Kyushu Univ., (Appl.) Phys.Prof., 工学部, 教授 (20112295)

Co-Investigator(Kenkyū-buntansha) Y Sawada  Tohoku Univ.(Res.Inst.Elect.Commun.) Prof., 電気通信研, 教授 (80028133)
T Nakano  Chuo Univ.(Physics) Prof., 理工学部, 教授 (50055224)
T Kawahara  Kyoto Univ.(Aeronautics) Prof., 工学部, 教授 (60027373)
Y Kaneda  Nagoya Univ.(Appl.Phys.) Prof., 工学部, 教授 (10107691)
R Takaki  Tokyo Univ.Agr.Tech., (Mech.Sys.Egin.) Prof., 工学部, 教授 (80015065)
坪田 誠  東北大, 流体研究所, 助教授 (10197759)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥4,700,000 (Direct Cost: ¥4,700,000)
Fiscal Year 1995: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1994: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsFilament / Cell / Vortex / Turbulence / Chaos / Soliton / Electrohydrodynamics / Interface / 時空間スケーリング則 / 散逸ソリトン / エンストロフィー / 量子渦糸 / パターン選択 / 位相スリップ
Research Abstract

Cellular patterns and filaments, which appear in dissipative systems far from equilibrium such as convective systems, chemical reaction systems and turbulence, have been studied on their universality as well as their individual formation mechanisms. Standing upon the above viewpoints, the investigations have been experimentally and theoretically done after classified into three subjects due to differences of their dynamics and dimensionality ; (1) surface and line defect systems such as an interface between two phases, filaments and vortices, (2) chemical reaction diffusion systems accompanied by hydrodynamic phenomena and (3) bulk celullar convections and turbulence. The results obtained are as follows. (1) In bulk convective phenomena such as the Rayleich-Benard convection and the electroconvection in liquid crystals, common (universal) aspects related to the pattern selection and the Busse diagram were obtained. Simultaneously the different behavior was also observed which was due to symmetrical differences of the systems. Therefore it was clarified that the symmetry of considered dynamics and the symmetrical arguments were vert important and universal to understand pattern formation. We obtained the universal spatio-temporal scaling at the phase slip process for one-and two-dimensional systems. It is therefore expected to be unversal even for the phase slip in a three dimensional system, for example vortices. Then the dynamics of a vortex is described through the scaling. (2) Common statistical properties and expressions were obtained through the relation between the curveture of filaments and the responsible background-field. (3) Though the universality among them was qualitatively understood, quantitative understandings have not been obtained yet. They are still left as future problems.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] S.Kai: "Curious properties of soliton induced by Marangoni instability in shallow Belousov-Zhabotinsky reaction" Physica D. 84. 269-275 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.I.Tribelsky: "Universal spatiotemporal scaling for dynamics of Eckhaus instability development" Phys.Rev.E. 51. 5132-5135 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Ishihara: "Singularity Formation in Three-Dimensional Motion of a Vortex Sheet" J.Fluid Mech.300. 339-366 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Hondo: "Dynamical behavior of a dissipative particle in a periodic potential subject to chaotic noise" Physical Review Letters. 75. 3269-3272 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nottmeyer: "Simultaneous Measurement of Velocity and Temperature Fluctuations in 2D Mixing Layer via the Thermochromism" Fluid Dyn.Res.15. 271-276 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nakano: "Two Scaling Regimes in Two-Dimensional Turbulence" J.Phys.Soc.Japan. 64. 3740-3747 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Kai and H.Miike: ""Hydrochemical soliton due to thermocapillary instability in Belousov-Zhabotinsky reaction"" Physica. A204. 346-358 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Kaneda and G.Holloway: ""Frequency Shifts of Rossby Waves in Geostrophic Turbulence"" J.Phys.Soc.Jan.vol.63, no.8. 2974-2985 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamane.Y.Kaneda and M.Doi: ""Numerical Simulation of Semi-Dilute Suspensions of Rodlike Particles in Shear Flow"" J.Non-Newtonian Fluid Mech.vol.54, no.8. 405-421 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Hosoda and T.Kawahara: ""Numerical solutions and pole expansion for perturbed Korteweg de Varies equation"" J.Phys.Soc.Jpn. vol.63, mo.1. 111-120 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Uchiyama and T.Kawahara: ""A possible mechanism for frequency down-shift in nonlinear wave modulation"" Wave Motion. vol.20. 99-110 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Sawada: ""A Scaling Theory of Living State"" Physica A. vol.204. 543-554 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Tanaka and R.Takaki: ""Analysis of Pipe Flow with Free Surface. part I.Numerical Computation"" Fluid Dyn.Res.vol.13, no.5. 229-247 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Tanaka and R.Takaki: ""Analysis of Pipe Flow with Free Surface. Part II.Analysis and Experiment"" Fluid Dyn.Res. vol.13, no.5. 249-260 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] O.Inomoto, T.Ariyoshi, S.Inenaga and S.Kai: ""Depth dependence of the Big Wave in Belousov-Zhabotinsky Reaction"" J.Phys.Soc.Jpn.vol.64. 13602-05 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Nasuno, N.Yoshimo and S.Kai: ""Structural transition and motion of domain walls in liquid crystals under a rotating magnetic field"" Phys.Rev.E51. 1598-1601 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Kai.T.Ariyoshi, S.Inenaga and H.Miike: ""Curious properties of soliton induced by Marangoni instability in shallow Belousov-Zhabotinsky reaction"" Physica. D84. 269-75 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Tribelsky, S.Kai, H.Yamazaki and M.Velarde: ""Universal spatiotemporal scaling for dynamics of Eckhaus instability development"" Phys.Rev.E51. 5132-5 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Ishihara and Y.Kaneda: ""Singularity Formation in Three-Dimensional Motion of a Vortex Sheet"" J.Fluid Mech.vol.300. 339-366 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Okuzono and K.Kawasaki: ""Intermittent flow behavior of random foams : a computer experiment on foam rheology"" Phys.Rev.E. vol.51, no.2. 1246-53 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Hondo and Y.Sawada: ""Dynamical behavior of a dissipative particle in a periodic potential subject to chaotic noise"" Physical Review Letters. vol.75. 3269-3272 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Nakamura and T.Nakano: ""Global and Local Scaling of the Enstrophy Dissipation Rate in Two-Dimensional Turbulence"" J.Phys.Soc.Japan. vol.64. 106-113 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Nakano: ""Two Scaling Regimes in Two-Dimensional Turbulence"" J.Phys.Soc.Japan. vol.64. 3740-3747 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S. Kai: "Curious properties of soliton induced by Marangoni instability in shallow Belousov-Zhabotinsky reaction" Physica D. 84. 269-275 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] M. I. Tribelsky: "Universal spatiotemporal scaling for dynamics of Eckhaus instability development" Phys. Rev. E. 51. 5132-5135 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Ishihara: "Singularity Formation in Three-Dimensional Motion of a Vortex Sheet" J. Fluid Mech.300. 339-366 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Hondo: "Dynamical behavior of a dissipative particle in a periodic potential subject to chaotic noise" Physical Review Letters. 75. 3269-3272 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] K. Nottmeyer: "Simultaneous Measurement of Velocity and Temperature Fluctuations in 2D Mixing Layer via the Thermochromism" Fluid Dyn. Res.15. 271-276 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Nakano: "Two Scaling Regimes in Two-Dimensional Turbulence" J. Phys. Soc. Japan. 64. 3740-3747 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] S.Kai: "Hydrochemical soliton due to thermocapillary instability in Belousov-Zhabotinsky reaction" Physica A. 204. 346-358 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Kai: "Structural transition and motion of domain walls in liguid crystals under a rotating mag field" Physical Review E. 51. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] R.Takaki: "Mechanism of Self-induced Vibration of a Liguid Drop Based on the surface tension fluctuation" J.Phys.Soc.Jpn.63. 1758-1768 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Kawahara: "Numerical solutions and pole expansion for perturbed Korteweg-de Vries eguatic" J.Phys.Soc.Jpn.63. 111-120 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Nakano: "Global and Local Scaling of the Enstrophy Dissipation Rate in 2D turbulenc" J.Phys.Soc.Jpn.64. 106-113 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Tsubota: "Capacity of a pinning state for trapping quantized vortices in super fluid 4He" Physical Review E. 50. 579-581 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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