### 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^{-5/3}ψ^{2/3}

- k -
**wavenumber**: an indication of the size of the eddy.
- ψ - mean energy dissipation per unit volume of the fluid.
- C - a constant.
- E(k,ψ) - energy spectrum.

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

http://www.astronomy.ohio-state.edu/~ryden/ast825/ch7.pdf

http://www.sjsu.edu/faculty/watkins/kolmo.htm

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