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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)
Further reading:
https://en.wikipedia.org/wiki/Turbulence
https://www.astronomy.ohio-state.edu/~ryden/ast825/ch7.pdf
https://www.sjsu.edu/faculty/watkins/kolmo.htm
https://spie.org/samples/FG02.pdf
https://www.mpifr-bonn.mpg.de/1295102/Shukurov_I.pdf
https://clouds.eos.ubc.ca/~phil/courses/atsc500/pdf_files/09-kolm.pdf

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