Scaling laws of aquatic locomotion

发布时间：2018-06-30 02:29

  本文选题：aquatic + locomotion　； 参考：《Science China(Physics,Mechanics & Astronomy)》2017年10期

【摘要】：In recent years studies of aquatic locomotion have provided some remarkable insights into the many features of fish swimming performances. This paper derives a scaling relation of aquatic locomotion CD(Re)~2 =(Sw)~2 and its corresponding log law and power law. For power scaling law,(Sw)~2 = β_nRe~((2-1)/n), which is valid within the full spectrum of the Reynolds number Re=UL/v from low up to high, can simply be expressed as the power law of the Reynolds number Re and the swimming number Sw=ωAL/v as Re ∝ (Sw)~σ,with σ=2 for creeping flows,σ=4/3 for laminar flows, σ=10/9 and σ=14/13 for turbulent flows. For log law this paper has derived the scaling law as Sw ∝ Re=(lnRe+1.287), which is even valid for a much wider range of the Reynolds number Re. Both power and log scaling relationships link the locomotory input variables that describe the swimmer's gait A;ω via the swimming number Sw to the locomotory output velocity U via the longitudinal Reynolds number Re, and reveal the secret input-output relationship of aquatic locomotion at different scales of the Reynolds number.
[Abstract]:In recent years studies of aquatic locomotion have provided some remarkable insights into the many features of fish swimming performances. This paper derives a scaling relation of aquatic locomotion CD (re) 2 = (SW) 2 and its corresponding log law and power law. For power scaling law, (w) 2 = 尾 s nRe~ (2-1) / n), which is valid within the full spectrum of the Reynolds number ReULR number re and the swimming number Swv = 蠅 ALV v as re 鈭，

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