Estimation of Boundary Layer Thickness at Side Wall of a Fully Turbulent Agitated Vessel without Baffles

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  • Shiobara Katsumi
    Satake Chemical Equipment Mfg., Ltd.
  • Hiraoka Setsuro
    Department of Life and Materials Engineering, Nagoya Institute of Technology
  • Kato Yoshihito
    Department of Life and Materials Engineering, Nagoya Institute of Technology
  • Iwata Shuichi
    Department of Life and Materials Engineering, Nagoya Institute of Technology
  • Tada Yutaka
    Department of Life and Materials Engineering, Nagoya Institute of Technology
  • Yamaguchi Takao
    Department of Mechanical Engineering, Chubu University
  • Yamamura Masaaki
    Department of Information Processing Education, Chubu University

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The average boundary layer thickness at the side wall of an agitated vessel without baffles, yD, was estimated from the correlation of the friction factor with the help of the measured universal expression of tangential velocity distribution at a vessel wall. The average boundary layer thickness was independent of the Reynolds number in the turbulent boundary layer range of ReG > 5000, but it increased with decreasing Reynolds number being inversely proportional to the 1/2 power of a generalized Reynolds number in the laminar boundary layer range of ReG < 5000. At the turbulent boundary layer of ReG > 5000, the ratio of the average boundary layer thickness to the vessel radius yD/(D/2) was in the range of 0.013 to 0.018 for the ratio of impeller to vessel diameters d/D = 0.61 to 0.4. The correlation line of the dimensionless tangential velocity at the boundary layer edge uD++ (≡uD+(βD/md)) vs. the dimensionless boundary layer thickness yD++ (≡yD+(βD/md)) coincided with the universal velocity distribution law for a flat plate for the impellers having a larger impeller similarity parameter X over 0.15, but the former shifted upward from the latter for the impellers having a smaller impeller similarity parameter X below 0.15, although the gradient (duD++/d ln yD++) was the same as that for the universal velocity distribution law.

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