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Pressure statistics and fine vortex structure in Turbulence

Research Project

Project/Area Number 15560137
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionNagoya University

Principal Investigator

TSUJI Yoshiyuki  Nagoya University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (00252255)

Project Period (FY) 2003 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2004: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2003: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsTurbulence / Static pressure / Fine vortex structure / Universal scaling law
Research Abstract

Pressure fluctuation was measured in a turbulent jet using a condenser microphone and piezoresistive transducer. The power-law exponent and proportional constant of normalized pressure spectrum are discussed from the standpoint of Kolmogorov universal scaling. The clear power-law with scaling exponent close to -7/3 was confirmed in the range of 600<R_λ. These Reynolds numbers are much larger than those in velocity fluctuation to achieve Kolmogorov scaling. The spectral constant is not universal but depends on Reynolds numbers. Measured pressure PDFs are compared with direct numerical simulation.
New methods and improved measurement techniques are thus sought for. In this study, both static pressure and wall pressure in turbulent boundary layers have been measured simultaneously by using small transducer and microphone. Obtained results may be summarized as follows.
(1)The root mean square of vertical velocity component is evaluated by means of mean pressure distribution The profile is su … More fficiently agree with the result obtained by direct v-component velocity measurement.
The peak location of v^+ is scaled as a function of Reynolds number ; y_p^+=0.00135 times R_θ^1.42.
(2)Root mean square of wall pressure, normalized by inner variable, indicates an increasing function of R_θ ; p_rms^+∝R_θ^0.28. This trend is similar with the result by DNS.
(3)The distribution of static pressure r.m.s., p_rms^+, across the boundary layer does not show the Reynolds number scaling. If p_rms^+ is averaged within the log-region, its Reynolds number dependence is approximated by the power-law ; p_rms^+∝R_θ^0.32. This Reynolds number dependence is much stronger than that of stream-wise velocity or vertical velocity component.
(4)The correlation between wall and static pressure across the boundary layer indicates the positive value. The distribution of correlation coefficient does not show the Reynolds number dependence if the distance from the wall is normalized by Δ for R_θ>7000.
(5)In relation to streamwise velocity u, the root mean square of static pressure is scaled by ρu_rms^2. The ratio p_rms/ρu_rms^2 is the order of 1 in the inner region. The correlation between the pressure and streamwise velocity indicates the local minimum and maximum value at y/Δ=0.05 and y/Δ=0.2,respectively. In the outer region, 0.25<y/Δ, the correlation becomes negative. These trends are observed in DNS. Less

Report

(3 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • Research Products

    (19 results)

All 2005 2004 2003 Other

All Journal Article (16 results) Publications (3 results)

  • [Journal Article] Mean Wind in Convective Turbulence of Mercury2005

    • Author(s)
      Y.Tsuji, T.Mizuno, et al.
    • Journal Title

      Physical Rev.Letter 94

    • NAID

      120000979824

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Mean Wind in Convective Turbulence of Mercury2005

    • Author(s)
      Tsuji, Y., Mizuno, T., Mashiko, T., Sano, M.
    • Journal Title

      Physical Review Letters vol.94

    • NAID

      120000979824

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Intermittency Effect on Energy Spectrum in High-Reynolds Number Turbulence2004

    • Author(s)
      Yoshiyuki Tsuji
    • Journal Title

      Physics of Fluids 16-5

      Pages: 43-46

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Universality of Probability Distributions in the Overlap Region in High Reynolds Number Turbulent Boundary Layers2004

    • Author(s)
      B.Lindgren, A.Johansson, Y.Tsuji
    • Journal Title

      Physics of Fluids 16-7

      Pages: 2587-2591

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Instantaneous Measurement of Velocity Fields in Developed Thermal Turbulence in Mercury2004

    • Author(s)
      T.Mashiko, Y.Tsuji, et al.
    • Journal Title

      Physical Rev.E 69

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Intermittency Effect on Energy Spectrum in High-Reynolds Number Turbulence2004

    • Author(s)
      Tsuji, Yoshiyuki
    • Journal Title

      Phys.Fluids vol.16-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Universality of Probability Density Distributions in the Overlap Region in High Reynolds Number Turbulent Boundary Layers2004

    • Author(s)
      Lindgren, B., Johansson, A.V., Tsuji, Y.
    • Journal Title

      Physics of Fluids vol.16-7

      Pages: 2587-2591

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Instantaneous Measurement of Velocity Fields in Developed Thermal Turbulence in Mercury2004

    • Author(s)
      Mashiko, T., Y.Tsuji, T.Mizuno, M.Sano
    • Journal Title

      Physical Review E vol.69

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Intermittency-Effect on Energy Spectrum in-High-Reynolds Number Turbulence2004

    • Author(s)
      Yoshiyuki Tsuji
    • Journal Title

      Physics of Fluids 16-5

      Pages: 43-46

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Instantaneous Measurement of Velocity Fields in Developed Thermal Turbulence in Mercury2004

    • Author(s)
      T, Mashiko, Y.Tsuji et al.
    • Journal Title

      Physical Rev.E 69

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 平板乱流境界層対数速度分布領域における変動速度確率密度関数の特性(第3報:対数法則領域における整構造の役割)2004

    • Author(s)
      辻 義之, 宮地 圭, 中村育雄
    • Journal Title

      日本機械学会論文集(B編) 70/695

      Pages: 1679-1686

    • NAID

      110004999515

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 二次元噴流と平行に置かれた平板との衝突により形成される渦構造のスケールと乱れの分布2004

    • Author(s)
      河合勇太, 辻 義之, 久木田 豊
    • Journal Title

      日本機械学会論文集(B編) 70/692

      Pages: 935-942

    • NAID

      110004999392

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Large-scale Anisotropy Effect on Small-scale Statistics over Rough Wall Turbulent Boundary Layers2003

    • Author(s)
      Yoshiyuki Tsuji
    • Journal Title

      Physics of Fluids 15

      Pages: 3816-3828

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Similarity Scaling of Pressure Fluctuation in Turbulence2003

    • Author(s)
      Y.Tsuji, T.Ishihara
    • Journal Title

      Physical Rev.E 68

    • NAID

      120000979817

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Large-scale Anisotropy Effect on Small-scale Statistics over Rough Wall Turbulent Boundary Layers2003

    • Author(s)
      Tsuji, Yoshiyuki
    • Journal Title

      Physics of Fluids vol.15

      Pages: 3816-3828

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Similarity Scaling of Pressure Fluctuation in Turbulence2003

    • Author(s)
      Tsuji, Y., Ishihara, T.
    • Journal Title

      Physical Review E vol.68

    • NAID

      120000979817

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] Y.Tsuji, T.Ishihara: "Similarity scaling of pressure fluctuation in turbulence"Physical Review E. 63. 026309-1 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Tsuji: "Large-scale anisotropy effect on small-scale statistics over rough wall turbulent boundary layers"Physics of Fluids. 15. 3816-3828 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Tsuji: "Intermittency effect on energy spectrum in high-Reynolds number turbulence"Physics of Fluids. 16. L43-L46 (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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