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Kolmogorov spectrum

(Kolmogorov energy spectrum)
(energy spectrum of the eddies of different sizes in a turbulent fluid)

The Kolmogorov spectrum (or Kolmogorov energy spectrum) is a spectrum of the amount of energy dissipation of eddies, by size of eddy, within a turbulent fluid. It is based on an idealized model of turbulence (that eddies occur in a specific ratio of sizes), but the model and spectrum are useful as an approximation. One form:

E(k,ψ) = Ck-5/3ψ2/3

If ψ is presumed constant in a turbulent volume, E ∝ k-5/3.

(fluid dynamics,turbulence,mathematics)