乱れの Lagrange スペクトルの漸近形

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タイトル別名
  • Asymptotic Form of Lagrangian Spectrum Function of Turbulence
  • ミダレ ノ Lagrange スペクトル ノ ゼンキン ケイ

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抄録

Working equation for the Lagrangian spectrum function over the entire range of Lagrangian turbulon frequencies is proposed. The principal assumptions are that the evolution of the state of a selected particle in time forms a Markov process and that the spectrum function is a rapidly decreasing function. The asymptotic form of the spectrum is expressed in the form, E₁₁(ω) = AL<ε>/ω₀² exp[-c²(ω/ω∞)²] / 1+(ω/ω₀)² where AL is the universal constant. AL ≈ c/4. 4. <ε> is the kinetic energy dissipation rate. ω is the Lagrangian turbulon frequency. The subscripts, 0 and ∞, mean the largest and the smallest turbulon respectively. This form behaves like ω⁻² in the inertial range and as an exponential decay in the viscous range. The result is applied to the estimation of the energy dissipation by solid particles suspended in a turbulent fluid.

Article

信州大学工学部紀要 32: 217-225 (1972)

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